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alternate case: real analysis

Rolle's theorem (2,015 words) [view diff] no match in snippet view article find links to article

In calculus, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct

Time-scale calculus (1,756 words) [view diff] no match in snippet view article find links to article

In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential

Abel's test (1,047 words) [view diff] no match in snippet view article find links to article

In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after

Intermediate value theorem (4,360 words) [view diff] no match in snippet view article find links to article

In mathematical analysis, the intermediate value theorem states that if f {\displaystyle f} is a continuous function whose domain contains the interval

Extreme value theorem (3,926 words) [view diff] case mismatch in snippet view article find links to article

(1977). "The Boundedness and Extreme–Value Theorems". A First Course in Real Analysis. New York: Springer. pp. 71–73. ISBN 0-387-90215-5. A Proof for extreme

L'Hôpital's rule (7,128 words) [view diff] case mismatch in snippet view article find links to article

IMOmath. International Mathematical Olympiad. Chatterjee, Dipak (2005), Real Analysis, PHI Learning Pvt. Ltd, ISBN 81-203-2678-4 Krantz, Steven G. (2004)

Undergraduate Texts in Mathematics (4,190 words) [view diff] case mismatch in snippet view article find links to article

Introduction. ISBN 978-0-387-90586-0. Fischer, E. (1982). Intermediate Real Analysis. ISBN 978-0-387-90721-5. Martin, George E. (1982). Transformation Geometry:

Walter Rudin (1,209 words) [view diff] exact match in snippet view article find links to article

and clarity, has since become a standard textbook for introductory real analysis courses in the United States. Rudin's analysis textbooks have also been

Abel's theorem (1,538 words) [view diff] no match in snippet view article find links to article

In mathematics, Abel's theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician

Lusin's theorem (725 words) [view diff] case mismatch in snippet view article find links to article

l'Académie des Sciences de Paris 154 (1912), 1688–1690. G. Folland. Real Analysis: Modern Techniques and Their Applications, 2nd ed. Chapter 7 W. Zygmunt

Richard Meltzer (970 words) [view diff] exact match in snippet view article find links to article

He is considered by some rock historians to be the first to write real analysis of rock and roll and is credited with inventing "rock criticism". Meltzer

Lagrange inversion theorem (2,428 words) [view diff] no match in snippet view article find links to article

In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse

Implicit function theorem (3,732 words) [view diff] no match in snippet view article find links to article

In multivariable calculus, the implicit function theorem is a tool that allows relations to be converted to functions of several real variables. It does

Taylor's theorem (9,632 words) [view diff] case mismatch in snippet view article find links to article

Addison–Wesley. Bartle, Robert G.; Sherbert, Donald R. (2011), Introduction to Real Analysis (4th ed.), Wiley, ISBN 978-0-471-43331-6. Hörmander, L. (1976), Linear

Sturm's theorem (2,807 words) [view diff] no match in snippet view article find links to article

In mathematics, the Sturm sequence of a univariate polynomial p is a sequence of polynomials associated with p and its derivative by a variant of Euclid's

Caristi fixed-point theorem (433 words) [view diff] no match in snippet view article find links to article

In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed-point theorem for maps

Henstock–Kurzweil integral (2,872 words) [view diff] case mismatch in snippet view article find links to article

Century Bartle, Robert G.; Sherbert, Donald R. (1999). Introduction to Real Analysis (3rd ed.). Wiley. ISBN 978-0-471-32148-4. Čelidze, V G; Džvaršeǐšvili

Caristi fixed-point theorem (433 words) [view diff] no match in snippet view article find links to article

In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed-point theorem for maps

Routh–Hurwitz theorem (654 words) [view diff] no match in snippet view article find links to article

In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left-half complex plane. Polynomials

Arzelà–Ascoli theorem (3,819 words) [view diff] no match in snippet view article find links to article

The Arzelà–Ascoli theorem is a fundamental result of mathematical analysis giving necessary and sufficient conditions to decide whether every sequence

Pseudoconvexity (735 words) [view diff] case mismatch in snippet view article find links to article

} The definition above is analogous to definitions of convexity in Real Analysis. If G {\displaystyle G} does not have a C 2 {\displaystyle C^{2}} boundary

Dini's theorem (716 words) [view diff] case mismatch in snippet view article find links to article

1878". Bartle, Robert G. and Sherbert Donald R.(2000) "Introduction to Real Analysis, Third Edition" Wiley. p 238. – Presents a proof using gauges. Edwards

Śleszyński–Pringsheim theorem (272 words) [view diff] no match in snippet view article find links to article

In mathematics, the Śleszyński–Pringsheim theorem is a statement about convergence of certain continued fractions. It was discovered by Ivan Śleszyński

Ottó Szász (124 words) [view diff] exact match in snippet view article find links to article

1952, Cincinnati, Ohio) was a Hungarian mathematician who worked on real analysis, in particular on Fourier series. He proved the Müntz–Szász theorem

Set theory of the real line (599 words) [view diff] no match in snippet view article find links to article

Set theory of the real line is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows

Fatou–Lebesgue theorem (669 words) [view diff] case mismatch in snippet view article find links to article

_{S}g\,d\mu } by the monotonicity of the Lebesgue integral. Topics in Real Analysis by Gerald Teschl, University of Vienna. Mackevicius, Vigirdas (September

Riemann series theorem (5,248 words) [view diff] no match in snippet view article find links to article

In mathematics, the Riemann series theorem, also called the Riemann rearrangement theorem, named after 19th-century German mathematician Bernhard Riemann

Natural number (5,889 words) [view diff] case mismatch in snippet view article find links to article

Analysis With Infinitesimals Following Robinson, Nelson, And Others". Real Analysis Exchange. 42 (2): 193–253. arXiv:1703.00425. doi:10.14321/realanalexch

Inverse function theorem (7,930 words) [view diff] no match in snippet view article find links to article

In mathematics, the inverse function theorem is a theorem that asserts that, if a real function f has a continuous derivative near a point where its derivative

Gerald Folland (373 words) [view diff] case mismatch in snippet view article find links to article

a fellow of the American Mathematical Society. A Guide to Advanced Real Analysis, Washington, D.C. : Mathematical Association of America, 2009. Quantum

Uniform limit theorem (831 words) [view diff] no match in snippet view article find links to article

In mathematics, the uniform limit theorem states that the uniform limit of any sequence of continuous functions is continuous. More precisely, let X be

Steven G. Krantz (1,954 words) [view diff] exact match in snippet view article find links to article

functions, analysis on the Heisenberg group, complex function theory, and real analysis. He applied wavelet analysis to plastic surgery, creating software for

Nested intervals (4,102 words) [view diff] case mismatch in snippet view article find links to article

Houshang H. (2003), "Theorem 2.1.5 (Nested Intervals Theorem)", Basic Real Analysis, Springer, p. 45, ISBN 9780817642112. Königsberger, Konrad (2003), "2

Graduate Texts in Mathematics (5,056 words) [view diff] case mismatch in snippet view article find links to article

Moment Problem, Konrad Schmüdgen (2017, ISBN 978-3-319-64545-2) Modern Real Analysis, William P. Ziemer (2017, 2nd ed., ISBN 978-3-319-64628-2) Binomial

Blumberg theorem (1,182 words) [view diff] case mismatch in snippet view article find links to article

Society. 11: 667–670. "Variations on Blumberg's Theorem", Jack B. Brown, Real Analysis Exchange 9, #1 (1983/1984), pp. 123–137, doi:10.2307/44153521, JSTOR 44153521

Ralph Henstock (1,672 words) [view diff] case mismatch in snippet view article find links to article

1994 he was awarded the Andy Prize of the XVIII Summer Symposium in Real Analysis. His academic career began as Assistant Lecturer, Bedford College for

Glaeser's composition theorem (83 words) [view diff] no match in snippet view article find links to article

In mathematics, Glaeser's theorem, introduced by Georges Glaeser (1963), is a theorem giving conditions for a smooth function to be a composition of F

Edward J. McShane (1,151 words) [view diff] exact match in snippet view article find links to article

University of Denver Press. McShane, E. J.; Botts, Truman Arthur (1959). Real analysis. Princeton: Van Nostrand. Bibcode:1959rean.book.....M. McShane, Edward

Lipschitz continuity (2,630 words) [view diff] case mismatch in snippet view article find links to article

Real Analysis. Vol. 231. Birkhäuser. p. 142. ISBN 0-8176-4211-0. Thomson, Brian S.; Bruckner, Judith B.; Bruckner, Andrew M. (2001). Elementary Real Analysis

Watson's lemma (2,537 words) [view diff] no match in snippet view article find links to article

In mathematics, Watson's lemma, proved by G. N. Watson (1918, p. 133), has significant application within the theory on the asymptotic behavior of integrals

Specker sequence (697 words) [view diff] exact match in snippet view article find links to article

computable real numbers does not satisfy the least upper bound principle of real analysis, even when considering only computable sequences. A common way to resolve

Quasi-continuous function (440 words) [view diff] case mismatch in snippet view article find links to article

and Lower Quasi-continuity". Real Analysis Exchange. 33 (2): 339–350. T. Neubrunn (1988). "Quasi-continuity". Real Analysis Exchange. 14 (2): 259–308. doi:10

Antoni Zygmund (735 words) [view diff] case mismatch in snippet view article find links to article

(University of Chicago, 1950) Measure and Integral: An Introduction to Real Analysis, With Richard L. Wheeden (Marcel Dekker, 1977) Analytic Functions, with

Hardy's inequality (2,594 words) [view diff] no match in snippet view article find links to article

Hardy's inequality is an inequality in mathematics, named after G. H. Hardy. Its discrete version states that if a 1 , a 2 , a 3 , … {\displaystyle a_{1}

Bounded set (740 words) [view diff] case mismatch in snippet view article find links to article

bounded Bartle, Robert G.; Sherbert, Donald R. (1982). Introduction to Real Analysis. New York: John Wiley & Sons. ISBN 0-471-05944-7. Richtmyer, Robert

Richard M. Dudley (595 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-13897-6, retrieved 2024-05-05 Dudley, Richard M. (1989). Real analysis and probability. The Wadsworth & Brooks Cole mathematics series. Pacific

Elias M. Stein (1,002 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-691-11385-8. 2010 reprint Stein, Elias; Shakarchi, R. (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University

Interchange of limiting operations (670 words) [view diff] case mismatch in snippet view article find links to article

Encyclopedia of Mathematics, EMS Press, 2001 [1994] Carothers, N. L. (2000). Real Analysis. New York: Cambridge University Press. p. 150. ISBN 0-521-49749-3. In

Daniell integral (1,647 words) [view diff] case mismatch in snippet view article find links to article

Robert B. (1972). "The Interplay between Measure Theory and Topology". Real Analysis and Probability. New York: Academic Press. pp. 168–200. ISBN 0-12-065201-3

Construction of the real numbers (4,189 words) [view diff] exact match in snippet view article find links to article

and not too instructive." Constructivism (mathematics)#Example from real analysis – Mathematical viewpoint that existence proofs must be constructivePages

Counterexample (1,187 words) [view diff] case mismatch in snippet view article find links to article

L. Wise and Eric B. Hall (1993) Counterexamples in Probability and Real Analysis. Oxford University Press, New York ISBN 0-19-507068-2. Bernard R. Gelbaum

Lévy–Prokhorov metric (824 words) [view diff] exact match in snippet view article find links to article

metric", Encyclopedia of Mathematics, EMS Press Dudley, R.M. (1989). Real analysis and probability. Pacific Grove, Calif. : Wadsworth & Brooks/Cole. ISBN 0-534-10050-3

Abelian (263 words) [view diff] exact match in snippet view article find links to article

every epimorphism is a cokernel Abelian and Tauberian theorems, in real analysis, used in the summation of divergent series Abelian extension, in Galois

Dependent and independent variables (1,843 words) [view diff] exact match in snippet view article find links to article

Business Media. p. 31. Carlson, Robert. A concrete introduction to real analysis. CRC Press, 2006. p.183 Stewart, James (2011). "1.1". Calculus. Cengage

PMA (357 words) [view diff] exact match in snippet view article find links to article

a synthetic acrylate polymer Principles of Mathematical Analysis, a real analysis textbook Progressive muscular atrophy, a neurodegenerative muscle-wasting

Fσ set (304 words) [view diff] case mismatch in snippet view article find links to article

that every Fσ set is closed Stein, Elias M.; Shakarchi, Rami (2009), Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University

Trigonometric functions (10,740 words) [view diff] exact match in snippet view article find links to article

University press. Bartle, R. G., & Sherbert, D. R. (2000). Introduction to real analysis (3rd ed). Wiley. Bartle & Sherbert 1999, p. 247. Whitaker and Watson

Discontinuities of monotone functions (3,495 words) [view diff] no match in snippet view article find links to article

In the mathematical field of analysis, a well-known theorem describes the set of discontinuities of a monotone real-valued function of a real variable;

Empty set (2,229 words) [view diff] case mismatch in snippet view article find links to article

Bruckner, A.N., Bruckner, J.B., and Thomson, B.S. (2008). Elementary Real Analysis, 2nd edition, p. 9. Munkres, James Raymond (2018). Topology (Second

Nth-term test (725 words) [view diff] exact match in snippet view article find links to article

55; Șuhubi p.375 Brabenec, Robert (2005). Resources for the study of real analysis. MAA. ISBN 0883857375. Hansen, Vagn Lundsgaard (2006). Functional Analysis:

Harro Heuser (447 words) [view diff] exact match in snippet view article find links to article

countries he is best known for his popular two-volume introduction into real analysis, Lehrbuch der Analysis. Heuser studied mathematics, physics and philosophy

Carathéodory's theorem (154 words) [view diff] exact match in snippet view article find links to article

complex analytic function Vitali–Carathéodory theorem, a result in real analysis This disambiguation page lists articles associated with the title Carathéodory's

Union (set theory) (1,989 words) [view diff] case mismatch in snippet view article

Springer Science & Business Media. ISBN 9781475716450. "MathCS.org - Real Analysis: Theorem 1.1.4: De Morgan's Laws". mathcs.org. Retrieved 2024-10-22

Rational number (3,397 words) [view diff] case mismatch in snippet view article find links to article

17 August 2021. Royden, Halsey; Fitzpatrick, Patrick (2017-02-13). Real Analysis (4th ed.). Pearson. pp. 7–54. ISBN 9780134689494.{{cite book}}: CS1

Hyperrectangle (585 words) [view diff] case mismatch in snippet view article find links to article

"Orthotope". MathWorld. Foran, James (1991-01-07). Fundamentals of Real Analysis. CRC Press. ISBN 9780824784539. Retrieved 23 May 2014. Rudin, Walter

Injective function (2,558 words) [view diff] case mismatch in snippet view article find links to article

original on 4 June 2017. Bartle, Robert G. (1976), The Elements of Real Analysis (2nd ed.), New York: John Wiley & Sons, ISBN 978-0-471-05464-1, p. 17

Endre Pap (565 words) [view diff] exact match in snippet view article find links to article

Belgrade. He has taught courses in partial differential equations, real analysis, complex analysis, decision theory, fuzzy systems, optimization methods

Cauchy theorem (106 words) [view diff] exact match in snippet view article find links to article

analysis, also Cauchy's integral formula Cauchy's mean value theorem in real analysis, an extended form of the mean value theorem Cauchy's theorem (group

Terence Tao (6,678 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-8218-4885-2. MR 2541289. Zbl 1175.00010. — (2010). An epsilon of room, I: real analysis. Pages from year three of a mathematical blog. Graduate Studies in Mathematics

Flag of Togo (1,104 words) [view diff] case mismatch in snippet view article find links to article

January 2024). "Some Applications of Real Sequences". The Big Book of Real Analysis: From Numbers to Measures. Springer Nature. pp. 263–296. ISBN 978-3-031-30832-1

Television in Azerbaijan (214 words) [view diff] case mismatch in snippet view article find links to article

18 February 2018 (2018-02-18) Internet-based, satellite, and cable channel Real TV Real Analysis and Information Center LLC 15 March 2018 (2018-03-15)

1829 in science (722 words) [view diff] exact match in snippet view article find links to article

Chinese scientist. Bressoud, David M. (2007). A radical approach to real analysis (2nd ed.). [Washington, D.C.]: Mathematical Association of America.

Partition of an interval (408 words) [view diff] case mismatch in snippet view article find links to article

Ghorpade, Sudhir; Limaye, Balmohan (2006). A Course in Calculus and Real Analysis. Springer. p. 213. ISBN 9780387364254. Dudley, Richard M.; Norvaiša

Clopen set (768 words) [view diff] case mismatch in snippet view article find links to article

Bartle, Robert G.; Sherbert, Donald R. (1992) [1982]. Introduction to Real Analysis (2nd ed.). John Wiley & Sons, Inc. p. 348. (regarding the real numbers

Parity (mathematics) (2,532 words) [view diff] case mismatch in snippet view article

Bruckner, Andrew M.; Bruckner, Judith B.; Thomson, Brian S. (1997), Real Analysis, ClassicalRealAnalysis.com, p. 37, ISBN 978-0-13-458886-5. Stillwell

Piecewise function (1,065 words) [view diff] case mismatch in snippet view article find links to article

(2005). "The set of continuous piecewise differentiable functions". Real Analysis Exchange. 31 (1): 13–22. doi:10.14321/realanalexch.31.1.0013. ISSN 0147-1937

Murray H. Protter (297 words) [view diff] case mismatch in snippet view article find links to article

Morrey, Jr. A First Course in Real Analysis (1976, 1991). With Charles B. Morrey, Jr. Basic Elements of Real Analysis (1998). Maximum Principles in Differential

Cantor set (6,396 words) [view diff] case mismatch in snippet view article find links to article

positional system with Archimedean absolute value. Carothers, N. L. (2000). Real Analysis. Cambridge: Cambridge University Press. pp. 31–32. ISBN 978-0-521-69624-1

Harmonic series (mathematics) (6,219 words) [view diff] case mismatch in snippet view article

Kifowit. Roy, Ranjan (December 2007). "Review of A Radical Approach to Real Analysis by David M. Bressoud". SIAM Review. 49 (4): 717–719. JSTOR 20454048

Telescoping series (1,866 words) [view diff] case mismatch in snippet view article find links to article

Sons. pp. 386–387. Brian S. Thomson and Andrew M. Bruckner, Elementary Real Analysis, Second Edition, CreateSpace, 2008, page 85 Weil, André (1989). "Prehistory

Frank Morgan (mathematician) (623 words) [view diff] exact match in snippet view article

ISBN 0-88385-530-5 Real analysis. American Mathematical Society, Providence, RI, 2005. viii+151 pp. ISBN 0-8218-3670-6 Real analysis and applications.

Vector space (11,491 words) [view diff] exact match in snippet view article find links to article

Dover Publications, ISBN 978-0-486-69193-0 Dudley, Richard M. (1989), Real analysis and probability, The Wadsworth & Brooks/Cole Mathematics Series, Pacific

Initial value problem (1,377 words) [view diff] exact match in snippet view article find links to article

Nonuniqueness Criteria for Ordinary Differential Equations. Series in real analysis. Vol. 6. World Scientific. ISBN 978-981-02-1357-2. Polyanin, Andrei

Dirichlet integral (2,928 words) [view diff] case mismatch in snippet view article find links to article

(2011). "Chapter 10: The Generalized Riemann Integral". Introduction to Real Analysis. John Wiley & Sons. pp. 311. ISBN 978-0-471-43331-6. Zill, Dennis G

Antiderivative (3,366 words) [view diff] case mismatch in snippet view article find links to article

Wiki". brilliant.org. Retrieved 2020-08-18. Introduction to Classical Real Analysis, by Karl R. Stromberg; Wadsworth, 1981 (see also) Historical Essay On

Quadrature of the Parabola (1,540 words) [view diff] case mismatch in snippet view article find links to article

Archimede. 66 (3). Bressoud, David M. (2006). A Radical Approach to Real Analysis (2nd ed.). Mathematical Association of America. ISBN 0-88385-747-2.

Even and odd ordinals (406 words) [view diff] case mismatch in snippet view article find links to article

Bruckner, Andrew M.; Judith B. Bruckner & Brian S. Thomson (1997). Real Analysis. pp. 37. ISBN 0-13-458886-X. Salzmann, H., T. Grundhöfer, H. Hähl, and

Cantor function (3,512 words) [view diff] exact match in snippet view article find links to article

ISSN 1469-8064. S2CID 56402751. Bass, Richard Franklin (2013) [2011]. Real analysis for graduate students (Second ed.). Createspace Independent Publishing

Weak topology (3,109 words) [view diff] case mismatch in snippet view article find links to article

(2nd ed.), Springer-Verlag, ISBN 0-387-97245-5 Folland, G.B. (1999). Real Analysis: Modern Techniques and Their Applications (Second ed.). John Wiley &

Ultrafinitism (927 words) [view diff] no match in snippet view article find links to article

finitism by András Kornai On feasible numbers by Vladimir Sazonov "Real" Analysis Is A Degenerate Case Of Discrete Analysis by Doron Zeilberger Discussion

Extended real number line (2,205 words) [view diff] case mismatch in snippet view article find links to article

Aliprantis, Charalambos D.; Burkinshaw, Owen (1998), Principles of Real Analysis (3rd ed.), San Diego, CA: Academic Press, Inc., p. 29, ISBN 0-12-050257-7

T1 space (1,928 words) [view diff] exact match in snippet view article find links to article

(1990) Springer-Verlag ISBN 3-540-18178-4. Folland, Gerald (1999). Real analysis: modern techniques and their applications (2nd ed.). John Wiley & Sons

Renato Caccioppoli (1,872 words) [view diff] exact match in snippet view article find links to article

Italian), Napoli: Francesco Giannini e Figli, pp. 23–33. English: "Real analysis and measure theory in Naples: R. Caccioppoli, C. Miranda and F. Cafiero"

Renato Caccioppoli (1,872 words) [view diff] exact match in snippet view article find links to article

Italian), Napoli: Francesco Giannini e Figli, pp. 23–33. English: "Real analysis and measure theory in Naples: R. Caccioppoli, C. Miranda and F. Cafiero"

Absolute value (3,477 words) [view diff] exact match in snippet view article find links to article

absolute value Shechter, pp. 260–261. Bartle; Sherbert; Introduction to real analysis (4th ed.), John Wiley & Sons, 2011 ISBN 978-0-471-43331-6. Nahin, Paul

Almost all (2,577 words) [view diff] case mismatch in snippet view article find links to article

incompatibility (help) Sohrab, Houshang H. (15 November 2014). Basic Real Analysis (2 ed.). Birkhäuser. p. 307. doi:10.1007/978-1-4939-1841-6. ISBN 978-1-4939-1841-6

Carus Mathematical Monographs (734 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-88385-036-7 Randomness and Recurrence in Dynamical Systems: a Real Analysis Approach, by Rodney Nillsen, 2010, ISBN 978-0-88385-043-5 Linear Inverse

Well-order (1,902 words) [view diff] case mismatch in snippet view article find links to article

(3): 325–345. doi:10.4064/fm-56-3-325-345. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications. Pure and applied mathematics

Countable set (4,381 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-2-9551990-1-5. Mukherjee, Subir Kumar (2009). First Course in Real Analysis. Academic Publishers. p. 22. ISBN 978-81-89781-90-3. Yaqub, Aladdin

Convergence tests (2,228 words) [view diff] case mismatch in snippet view article find links to article

test. L'Hôpital's rule Shift rule Wachsmuth, Bert G. "MathCS.org - Real Analysis: Ratio Test". www.mathcs.org. František Ďuriš, Infinite series: Convergence

Krein–Milman theorem (2,957 words) [view diff] case mismatch in snippet view article find links to article

University Press. ISBN 978-0-521-29882-7. OCLC 589250. H. L. Royden, Real Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, 1988. Rudin, Walter (1991)

Locally compact space (2,522 words) [view diff] case mismatch in snippet view article find links to article

Schechter 1996, Theorem 20.18, p. 538. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications (2nd ed.). John Wiley & Sons

Area (5,365 words) [view diff] case mismatch in snippet view article find links to article

Complex Analysis, McGraw-Hill, ISBN 0-07-100276-6. Gerald Folland (1999). Real Analysis: modern techniques and their applications, John Wiley & Sons, Inc.,

Equivalence of metrics (1,023 words) [view diff] exact match in snippet view article find links to article

analysis on manifolds. Dover Publications. Carothers, N. L. (2000). Real analysis. Cambridge University Press. ISBN 0-521-49756-6. Henri Cartan (1971)

Xenu (7,948 words) [view diff] exact match in snippet view article find links to article

Press, contributor Mikael Rothstein observes that, "To my knowledge no real analysis of Scientology's Xenu myth has appeared in scholarly publications. The

Irrational number (5,309 words) [view diff] case mismatch in snippet view article find links to article

results and open problems". Michel Waldschmidt. Mark Bridger (2007). Real Analysis: A Constructive Approach through Interval Arithmetic. John Wiley & Sons

Semi-infinite (297 words) [view diff] case mismatch in snippet view article find links to article

known as semi-infinite programming. Trench, William. Introduction to Real Analysis. p. 21. ISBN 0-13-045786-8. Bateman, Transverse seismic waves on the

Asuman Aksoy (347 words) [view diff] case mismatch in snippet view article find links to article

Fixed Point Theory (Universitext, Springer, 1990) A Problem Book in Real Analysis (Springer, 2009) In 2006 the Southern California–Nevada Section of the

Norm (mathematics) (5,937 words) [view diff] case mismatch in snippet view article

function – Type of function in linear algebra Knapp, A.W. (2005). Basic Real Analysis. Birkhäuser. p. [1]. ISBN 978-0-817-63250-2. "Pseudonorm". www.spektrum

Elementary arithmetic (2,113 words) [view diff] case mismatch in snippet view article find links to article

Daniel J.; Aubrey, Jason A. (2017). An Introduction to Proof through Real Analysis. John Wiley & Sons. p. 3. ISBN 9781119314721. Musser, Gary L.; Peterson

Grandi's series (2,260 words) [view diff] case mismatch in snippet view article find links to article

Protter, Murray H.; Morrey, Charles B. Jr. (1991). A First Course in Real Analysis. Undergraduate Texts in Mathematics. Springer. p. 249. ISBN 978-0-387-97437-8

Pathological (mathematics) (2,392 words) [view diff] exact match in snippet view article

continuous everywhere but differentiable nowhere. Test functions in real analysis and distribution theory, which are infinitely differentiable functions

Goldstine theorem (1,126 words) [view diff] case mismatch in snippet view article find links to article

after. p. 69.{{cite book}}: CS1 maint: location (link) Folland, Gerald. Real Analysis: Modern Techniques and Their Applications (Second ed.). Proposition

Continuum hypothesis (4,061 words) [view diff] case mismatch in snippet view article find links to article

"Throwing a dart at Freiling's argument against the continuum hypothesis". Real Analysis Exchange. 15 (1): 342–345. doi:10.2307/44152014. JSTOR 44152014. MR 1042552

Cantor's diagonal argument (2,751 words) [view diff] case mismatch in snippet view article find links to article

2307/2975129, JSTOR 2975129 Bloch, Ethan D. (2011). The Real Numbers and Real Analysis. New York: Springer. p. 429. ISBN 978-0-387-72176-7. Sheppard, Barnaby

Smith–Volterra–Cantor set (966 words) [view diff] case mismatch in snippet view article find links to article

topological spaces Aliprantis and Burkinshaw (1981), Principles of Real Analysis Smith, Henry J.S. (1874). "On the integration of discontinuous functions"

Hilbert–Schmidt theorem (271 words) [view diff] case mismatch in snippet view article find links to article

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127(1):71-88. Kolmogorov, A. N.; Fomin, S. V. (1970). Introduction to Real Analysis. New York: Dover Publications Inc. Sethi S P, Cheng F. Optimality of

John Mackintosh Howie (538 words) [view diff] case mismatch in snippet view article find links to article

Semigroup Theory, Clarendon Press ISBN 0-19-851194-9 MR1455373 2001: Real Analysis, Springer books ISBN 1-85233-314-6 MR1826051 2003: Complex Analysis

Andrey Kolmogorov (2,791 words) [view diff] exact match in snippet view article find links to article

Nikolaevich; Fomin, Sergei Vasilyevich (1975) [1970]. Introductory real analysis. New York: Dover Publications. ISBN 978-0-486-61226-3.. Youschkevitch

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ISBN 978-1-77048-113-8. Carlson, Robert (2017). A Concrete Introduction to Real Analysis. CRC Press. ISBN 978-1-4987-7815-2. Cohen, Elliot D. (2009). Critical

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Robert (1967). The elements of real analysis. Wiley. Bartle, Robert G.; Sherbert, Donald R. (2000). Introduction to real analysis. Wiley. Courant, Richard (1924)

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(1988) Borel Spaces from University of Texas Richard M. Dudley (2002) Real Analysis and Probability, 2nd edition, page 487. Sashi Mohan Srivastava (1998)

Squeeze theorem (1,752 words) [view diff] case mismatch in snippet view article find links to article

and sometimes the squeeze lemma. Sohrab, Houshang H. (2003). Basic Real Analysis (2nd ed.). Birkhäuser. p. 104. ISBN 978-1-4939-1840-9. Selim G. Krejn

Riemann–Stieltjes integral (2,823 words) [view diff] case mismatch in snippet view article find links to article

Kolmogorov, Andrey; Fomin, Sergei V. (1975) [1970]. Introductory Real Analysis. Translated by Silverman, Richard A. (Revised English ed.). Dover Press

Stirling's approximation (4,752 words) [view diff] case mismatch in snippet view article find links to article

note on an identity of the gamma function and Stirling's formula", Real Analysis Exchange, 32 (1): 267–271, MR 2329236 For example, a program in Mathematica:

Contraction mapping (1,120 words) [view diff] exact match in snippet view article find links to article

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Cameron Byerley; Russell a. Gordon (2007). "Measures of Aberrancy". Real Analysis Exchange. 32 (1). Michigan State University Press: 233. doi:10.14321/realanalexch

Oklahoma School of Science and Mathematics (2,257 words) [view diff] case mismatch in snippet view article find links to article

Abstract Algebra (Mathematics), Chemical Thermodynamics (Chemistry), Real Analysis (Mathematics), Foundations of Mathematics (Mathematics), and other classes

Computable number (3,269 words) [view diff] exact match in snippet view article find links to article

the existence of counterexamples such as these, parts of calculus and real analysis can be developed in the field of computable numbers, leading to the

Serge Lang (3,702 words) [view diff] case mismatch in snippet view article find links to article

previously published under the different titles of Analysis II (1968) and Real Analysis (1983) Jorgenson, Jay; Lang, Serge (1993). Basic Analysis of Regularized

Charalambos Aliprantis (434 words) [view diff] exact match in snippet view article find links to article

Aliprantis, Charalambos D; Burkinshaw, Owen (1998). Principles of real analysis (Third ed.). Academic. pp. xii+415 pp. ISBN 978-0-12-050257-8. MR 1669668

Logarithm (11,674 words) [view diff] exact match in snippet view article find links to article

number not equal to 1 and let f(x) = b x. It is a standard result in real analysis that any continuous strictly monotonic function is bijective between

Sheldon Axler (420 words) [view diff] case mismatch in snippet view article find links to article

Trigonometry, John Wiley & Sons, January 2011. Measure, Integration & Real Analysis (open access, updated 2020), Springer, November 2019. Axler, Sheldon

Separating set (261 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle X} separate points. Dual system Carothers, N. L. (2000), Real Analysis, Cambridge University Press, pp. 201–204, ISBN 9781139643160. v t e

Closed graph theorem (1,926 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag. ISBN 3-540-13627-4. OCLC 17499190. Folland, Gerald B. (1984), Real Analysis: Modern Techniques and Their Applications (1st ed.), John Wiley & Sons

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Geometry, Cambridge University Press, 2005 Limits: A New Approach to Real Analysis, Undergraduate Texts in Mathematics, Springer Verlag, 1997 The geometry

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ISBN 0-691-04289-6. Krantz, Steven George (2005). "Definition 10.3". Real analysis and foundations (2nd ed.). CRC Press. pp. 269–270. ISBN 1-58488-483-5

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ISBN 978-1-930190-10-8. Bressoud, David (2007). A Radical Approach to Real Analysis (2nd ed.). Washington: Mathematical Association of America. ISBN 978-0-88385-747-2

Existence (13,415 words) [view diff] case mismatch in snippet view article find links to article

Springer. ISBN 978-3-319-18074-8. Johar, Syafiq (2024). The Big Book of Real Analysis: From Numbers to Measures. Springer Nature. ISBN 978-3-031-30832-1.

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2307/1986401. JSTOR 1986401. MR 1500522. Junghenn, Hugo D. (2015). A Course in Real Analysis. Boca Raton, Florida: CRC Press. p. 430. ISBN 978-1-4822-1927-2. MR 3309241

Bohr–Favard inequality (310 words) [view diff] no match in snippet view article find links to article

The Bohr–Favard inequality is an inequality appearing in a problem of Harald Bohr on the boundedness over the entire real axis of the integral of an almost-periodic

Peter Gustav Lejeune Dirichlet (3,586 words) [view diff] exact match in snippet view article find links to article

Mathematik. 4: 157–169. Bressoud, David M. (2007). A radical approach to real analysis. MAA. pp. 218–227. ISBN 978-0-88385-747-2. Lakatos, Imre (1976). Proofs

Instituto Tecnológico Autónomo de México (2,464 words) [view diff] exact match in snippet view article find links to article

in numerical analysis, financial mathematics, stochastic processes, real analysis and dynamic systems applied to the social sciences. Both BSc programs

Jaroslav Kurzweil (289 words) [view diff] case mismatch in snippet view article find links to article

Differential Equations: Not Absolutely Continuous Solutions. Series in Real Analysis. 11. World Scientific Publishing Company. ISBN 978-9814324021. Jiří

Uniform topology (79 words) [view diff] exact match in snippet view article find links to article

general topology, it is the topology carried by a uniform space. In real analysis, it is the topology of uniform convergence. This disambiguation page

Mathematical induction (6,914 words) [view diff] case mismatch in snippet view article find links to article

11–21.) Kolmogorov, Andrey N.; Fomin, Sergei V. (1975). Introductory Real Analysis. Silverman, R. A. (trans., ed.). New York: Dover. ISBN 978-0-486-61226-3

Resolvable space (159 words) [view diff] exact match in snippet view article find links to article

Glossary of topology A.B. Kharazishvili (2006), Strange functions in real analysis, Chapman & Hall/CRC monographs and surveys in pure and applied mathematics

Alexander Moiseevich Olevskii (583 words) [view diff] case mismatch in snippet view article find links to article

Professor of Mathematics, Tel-Aviv University". REAL ANALYSIS EXCHANGE, Summer Symposium in Real Analysis XXXIX, "The Cows and Colleges Symposium", St.

Classification of discontinuities (3,526 words) [view diff] case mismatch in snippet view article find links to article

Discontinuity". Stromberg, Karl R. (2015). An Introduction to Classical Real Analysis. American Mathematical Society. p. 120. Ex. 3 (c). ISBN 978-1-4704-2544-9

Gaussian process (5,929 words) [view diff] case mismatch in snippet view article find links to article

\ldots ,y(\mathbf {x} ^{(N)}))} is a Gaussian Dudley, R.M. (1989). Real Analysis and Probability. Wadsworth and Brooks/Cole. ISBN 0-534-10050-3. Amos

Joseph Schumpeter (8,048 words) [view diff] no match in snippet view article find links to article

credit. One could divide economists among (1) those who emphasized "real" analysis and regarded money as merely a "veil" and (2) those who thought monetary

Linearity of differentiation (3,096 words) [view diff] case mismatch in snippet view article find links to article

pp. 259–260, ISBN 9780387954844. Zorn, Paul (2010), Understanding Real Analysis, CRC Press, p. 184, ISBN 9781439894323. Gockenbach, Mark S. (2011),

Nowhere dense set (2,405 words) [view diff] exact match in snippet view article find links to article

a dense set of points with zero derivative". Folland, G. B. (1984). Real analysis: modern techniques and their applications. New York: John Wiley & Sons

Nowhere dense set (2,405 words) [view diff] exact match in snippet view article find links to article

a dense set of points with zero derivative". Folland, G. B. (1984). Real analysis: modern techniques and their applications. New York: John Wiley & Sons

John von Neumann (23,699 words) [view diff] exact match in snippet view article find links to article

years, von Neumann published several papers related to set-theoretical real analysis and number theory. In a paper from 1925, he proved that for any dense

Graduate Studies in Mathematics (4,664 words) [view diff] case mismatch in snippet view article find links to article

Joan Cerdà (2010, ISBN 978-0-8218-5115-9) 117 An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog, Terence Tao (2010,

Real TV (Azerbaijani TV channel) (525 words) [view diff] case mismatch in snippet view article

now-defunct ANS TV. It was launched on 15 March 2018 and is owned by Real Analysis Information Center. Real TV is headquartered in the Narimanov raion

Misconceptions about the normal distribution (1,557 words) [view diff] case mismatch in snippet view article find links to article

Gary L.; Hall, Eric B. (1993). Counterexamples in Probability and Real Analysis. Oxford University Press. pp. 140–141. ISBN 0-19-507068-2. Stoyanov

Differential form (10,058 words) [view diff] case mismatch in snippet view article find links to article

1007/978-0-8176-8412-9, ISBN 978-0-8176-8411-2 Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (Second ed.), John Wiley &

Barry Simon (2,154 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Society, Providence RI 2015, ISBN 978-1-4704-1098-8. vol. 1: Real Analysis. vol. 2A: Basic Complex Analysis. vol. 2B: Advanced Complex Analysis

Exponentiation (13,629 words) [view diff] case mismatch in snippet view article find links to article

28. ISBN 9780470647691. Denlinger, Charles G. (2011). Elements of Real Analysis. Jones and Bartlett. pp. 278–283. ISBN 978-0-7637-7947-4. Tao, Terence

Uniform convergence (5,341 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Analysis, 3rd ed., McGraw–Hill, 1976. Gerald Folland, Real Analysis: Modern Techniques and Their Applications, Second Edition, John Wiley

Ekeland's variational principle (2,299 words) [view diff] case mismatch in snippet view article find links to article

1090/S0002-9939-1981-0624927-9. MR 0624927. Ok, Efe (2007). "D: Continuity I". Real Analysis with Economic Applications (PDF). Princeton University Press. p. 664

Bernstein polynomial (4,491 words) [view diff] exact match in snippet view article find links to article

Fundamental Research, pp. 7–8 Goldberg, Richard R. (1964), Methods of real analysis, John Wiley & Sons, pp. 263–265 Caglar, Hakan; Akansu, Ali N. (July

Jensen's inequality (5,129 words) [view diff] exact match in snippet view article find links to article

\mu \right)\leq \int _{\Omega }\varphi \circ f\,\mathrm {d} \mu } In real analysis, we may require an estimate on φ ( ∫ a b f ( x ) d x ) {\displaystyle

Semi-continuity (3,987 words) [view diff] case mismatch in snippet view article find links to article

ISBN 981-02-2534-2. Stromberg, Karl (1981). Introduction to Classical Real Analysis. Wadsworth. ISBN 978-0-534-98012-2. Willard, Stephen (2004) [1970].

Change of variables (2,691 words) [view diff] exact match in snippet view article find links to article

(Second ed.). Reading: Addison-Wesley. pp. 269–275. Folland, G. B. (1999). Real analysis : modern techniques and their applications (2nd ed.). New York: Wiley

Upper topology (352 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag. ISBN 978-0-387-90125-1. OCLC 1365153. p.101 Knapp, Anthony W. (2005). Basic Real Analysis. Birkhhauser. p. 481. ISBN 0-8176-3250-6. v t e

Rademacher's theorem (1,317 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801. Folland, Gerald B. (1999). Real analysis. Modern techniques and their applications. Pure and Applied Mathematics

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integration did not. (2) McKubre-Jordens, M. and Weber, Z. (2012). "Real analysis in paraconsistent logic". Journal of Philosophical Logic 41 (5):901–922

Giulio Ascoli (517 words) [view diff] exact match in snippet view article find links to article

Italian). Available from the website of the. Dshalalow, Jewgeni H. (2001), Real analysis: an introduction to the theory of real functions and integration, Studies

Charles Jean de la Vallée Poussin (1,387 words) [view diff] exact match in snippet view article find links to article

edition 1912, 1914 by Jacques Gabay, ISBN 2-87647-227-9 (deals only with real analysis). Online: Cours d'analyse infinitésimale, Tome I Cours d'analyse infinitésimale

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6194–7002. JSTOR 101396. Bauldry, William C. (2011). Introduction to Real Analysis. An Educational Approach. Wiley. p. 122. ISBN 9781118164433. Hofmann

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and Robert E. Zink. “A NOTE ON THE DEFINITION OF AN ORLICZ SPACE.” Real Analysis Exchange, vol. 21, no. 1, 1995, pp. 356–362. JSTOR, www.jstor.org/stable/44153928

Internal reconstruction (2,885 words) [view diff] exact match in snippet view article find links to article

same as the input. As it happens, the forms as given yield readily to real analysis and so there is no reason to look elsewhere. The first assumption is

Arnold Ross (2,463 words) [view diff] case mismatch in snippet view article find links to article

NAP:11240. William C. Bauldry (9 September 2011). Introduction to Real Analysis: An Educational Approach. John Wiley & Sons. p. 46. ISBN 978-1-118-16443-3

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publisher (link) F. Semwogerere and A. Shabazz and F. Abebe (Mar 2006). Real Analysis — A First Course With An Inductive Approach. Victoria/BC: Trafford Publishing

Spectral theory of ordinary differential equations (9,399 words) [view diff] case mismatch in snippet view article find links to article

2307/2372051, JSTOR 2372051 Kolmogorov, A.N.; Fomin, S.V. (1975). Introductory Real Analysis. Dover. ISBN 978-0-486-61226-3. Kostenko, Aleksey; Sakhnovich, Alexander;

Schwarz lantern (2,899 words) [view diff] exact match in snippet view article find links to article

chord. Makarov, Boris; Podkorytov, Anatolii (2013). "Section 8.2.4". Real analysis: measures, integrals and applications. Universitext. Berlin: Springer-Verlag

Dirichlet kernel (2,062 words) [view diff] case mismatch in snippet view article find links to article

Thomson, Brian S. (1997). "15 Fourier Series §15.2 Dirichlet's Kernel". Real Analysis. Prentice-Hall. pp. 619–622. ISBN 0-13-458886-X. Podkorytov, A.N. (1988)

Constructive analysis (4,959 words) [view diff] case mismatch in snippet view article find links to article

Ishi Press International. ISBN 4-87187-714-0. Bridger, Mark (2007). Real Analysis: A Constructive Approach. Hoboken: Wiley. ISBN 978-0-471-79230-7.

Hemicontinuity (1,690 words) [view diff] case mismatch in snippet view article find links to article

University Press. pp. 949–951. ISBN 0-19-507340-1. Ok, Efe A. (2007). Real Analysis with Economic Applications. Princeton University Press. pp. 216–226

Peano–Jordan measure (1,391 words) [view diff] exact match in snippet view article find links to article

2307/1968175. ISSN 0003-486X. JSTOR 1968175. Emmanuele DiBenedetto (2002). Real analysis. Basel, Switzerland: Birkhäuser. ISBN 0-8176-4231-5. Richard Courant;

List of University of Chicago faculty (4,756 words) [view diff] exact match in snippet view article find links to article

logic Norman Steenrod – topologist Marshall Stone – contributed to real analysis, functional analysis, topology, and Boolean algebras; President of the

Joseph Liberman (180 words) [view diff] exact match in snippet view article find links to article

of the first city Mathematical Olimpiad. He worked in geometry and real analysis. In 1938 he published his first paper. In 1939 he entered graduate school

Neville Maxwell (2,487 words) [view diff] exact match in snippet view article find links to article

Report of the Officials, which Maxwell dismisses with a one-liner and no real analysis. Historian Srinath Raghavan, Senior Fellow at the Centre for Policy

Semiring (8,021 words) [view diff] case mismatch in snippet view article find links to article

OCLC 1100115281. Retrieved November 5, 2020. Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (2nd ed.), John Wiley & Sons

Beyond Order (1,480 words) [view diff] exact match in snippet view article find links to article

also said that there was "not much here for women at all" nor any "real analysis of how power operates", and that "the rules are really nothing to argue

Hahn–Banach theorem (12,640 words) [view diff] case mismatch in snippet view article find links to article

Publishing Co., Inc. pp. 5–7. ISBN 981-238-067-1. MR 1921556. Gabriel Nagy, Real Analysis lecture notes Brezis, Haim (2011). Functional Analysis, Sobolev Spaces

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(Cambridge University Press, 2011) Bass, Richard Franklin (2013) [2011]. Real analysis for graduate students (Second ed.). Createspace Independent Publishing

Density on a manifold (1,562 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag, ISBN 978-3-540-20062-8. Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (Second ed.), ISBN 978-0-471-31716-6

Leibniz integral rule (11,222 words) [view diff] case mismatch in snippet view article find links to article

615–627. doi:10.2307/2319163. JSTOR 2319163. Folland, Gerald (1999). Real Analysis: Modern Techniques and their Applications (2nd ed.). New York: John

Education Program for Gifted Youth (1,362 words) [view diff] case mismatch in snippet view article find links to article

launched with courses in the Theory of Relativity taught by Gary Oas and Real Analysis taught by Marc Sanders. Building on the success of this first year,

Ivar Ekeland (2,261 words) [view diff] case mismatch in snippet view article find links to article

Press. ISBN 978-0-521-38289-2. Ok, Efe (2007). "D: Continuity I" (PDF). Real Analysis with Economic Applications. Princeton University Press. p. 664. ISBN 978-0-691-11768-3

Andrew M. Gleason (5,389 words) [view diff] exact match in snippet view article find links to article

courses from Hille" including, in his sophomore year, graduate-level real analysis. "Starting with that course with Hille, I began to have some sense of

Ring of sets (1,424 words) [view diff] case mismatch in snippet view article find links to article

OCLC 1100115281. Retrieved November 5, 2020. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications (2nd ed.). John Wiley & Sons

Maurice Sion (556 words) [view diff] exact match in snippet view article find links to article

89–106. doi:10.1112/plms/s3-19.1.89. Introduction to the methods of real analysis. New York: Holt, Rinehart and Winston. 1968. Theory of semigroup valued

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Mathematical Society listed him in their inaugural class of fellows. Real Analysis and Applications, with Allan Donsig, Undergraduate Texts in Mathematics

Positive and negative sets (587 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle P.} Set function – Function from sets to numbers Folland, Gerald B (1984). Real Analysis (1st ed.). John Wiley & Sons. p. 81. ISBN 0-471-80958-6.

Simply typed lambda calculus (4,590 words) [view diff] exact match in snippet view article find links to article

seek to provide a foundation for mathematics (Peano arithmetic and real analysis), via model theory. The presentation given above is not the only way

Stolz–Cesàro theorem (4,268 words) [view diff] case mismatch in snippet view article find links to article

vol. I, Berlin: Springer. A. D. R. Choudary, Constantin Niculescu: Real Analysis on Intervals. Springer, 2014, ISBN 9788132221487, pp. 59-62 J. Marshall

Thomae's function (1,548 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-4939-5026-3 Bartle, Robert G.; Sherbert, Donald R. (1999), Introduction to Real Analysis (3rd ed.), Wiley, ISBN 978-0-471-32148-4 (Example 5.1.6 (h)) "Dirichlet-function"

Open and closed maps (5,297 words) [view diff] case mismatch in snippet view article find links to article

maps are not necessarily continuous. Sohrab, Houshang H. (2003). Basic Real Analysis. Springer Science & Business Media. p. 203. ISBN 9780817642112. Now

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2013-02-02. Hurd, Albert E.; Loeb, Peter A. An introduction to nonstandard real analysis. Pure and Applied Mathematics, 118. Academic Press, Inc., Orlando, FL

Symmetric derivative (1,534 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-521-89053-3. A. B. Kharazishvili (2005). Strange Functions in Real Analysis (2nd ed.). CRC Press. p. 34. ISBN 978-1-4200-3484-4. Aull, C. E. (1967)

De Bruijn–Erdős theorem (graph theory) (3,632 words) [view diff] exact match in snippet view article

Hurd, Albert E.; Loeb, Peter A. (1985), An introduction to nonstandard real analysis, Pure and Applied Mathematics, vol. 118, Orlando, FL: Academic Press

Falconer's conjecture (1,108 words) [view diff] case mismatch in snippet view article find links to article

"Dimensions of intersections and distance sets for polyhedral norms", Real Analysis Exchange, 30 (2): 719–726, doi:10.14321/realanalexch.30.2.0719 (inactive

Besicovitch covering theorem (757 words) [view diff] exact match in snippet view article find links to article

42: 205–235, doi:10.1017/s0305004100022660. DiBenedetto, E (2002), Real analysis, Birkhäuser, ISBN 0-8176-4231-5. Füredi, Zoltán; Loeb, Peter A. (1994)

Maximum theorem (1,875 words) [view diff] case mismatch in snippet view article find links to article

theorem for correspondences Michael selection theorem Ok, Efe (2007). Real Analysis with Economics Applications. Princeton University Press. p. 306.

Invasion America (board wargame) (1,558 words) [view diff] exact match in snippet view article

found the invasion scenarios the most interesting "because they need a real analysis about where to land for the three invaders, and what to do afterwards

Weyl's lemma (Laplace equation) (2,271 words) [view diff] case mismatch in snippet view article

of Second Order. Springer. ISBN 3-540-41160-7. Stein, Elias (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University

Whitney covering lemma (341 words) [view diff] exact match in snippet view article find links to article

Analysis. Springer. ISBN 978-0-387-09431-1. DiBenedetto, Emmanuele (2002), Real analysis, Birkhäuser, ISBN 0-8176-4231-5. Stein, Elias (1970), Singular Integrals

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Complex Analysis. NY: McGraw-Hill. p. 172. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications. NY: Wiley Interscience Series

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1975), metric spaces; Bôcher Prize (1999) Isidor Natanson (1906–1964), real analysis and constructive function theory Melvyn Nathanson (born 1944), number

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International Group, 1981. ISBN 0-534-98012-0 Gerald Teschl, Topics in Real Analysis, Amer. Math. Soc. (to appear). Online Version The Katznelson book is