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searching for Real analysis 215 found (572 total)

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 (4,328 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

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)

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

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

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

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

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

Sturm's theorem (2,817 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

Implicit function theorem (3,821 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

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

Sergei Fomin (303 words) [view diff] exact match in snippet view article find links to article

mathematician who was co-author with Andrey Kolmogorov of Introductory real analysis, and co-author with Israel Gelfand of Calculus of Variations (1963)

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

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

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

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

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

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

Product rule (4,278 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-486-44596-0 Eugene Boman, and Robert Rogers. Real Analysis https://math.libretexts.org/Bookshelves/Analysis/Real_Analysis_(Boman_and_Rogers)/02%3A_Calculus_in

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

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}

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

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

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

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

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

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

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

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

Magnitude (mathematics) (1,316 words) [view diff] case mismatch in snippet view article

York: Dover Publications. Bloch, Ethan D. (2011), The Real Numbers and Real Analysis, Springer, p. 52, ISBN 9780387721774 – via Google Books, The idea of

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

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

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;

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 (3,391 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. Anthony Vazzana; David

Injective function (2,589 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

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

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

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

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

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.

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

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

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

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

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

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

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.

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

Dirichlet integral (2,929 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

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

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.

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 &

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

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

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

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

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

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

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"

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

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

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

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

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.,

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

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)

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)

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

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

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

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

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

Continuum hypothesis (4,060 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

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

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

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

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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)

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

Stirling's approximation (4,756 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:

Limit of a function (11,342 words) [view diff] exact match in snippet view article find links to article

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Computable number (3,270 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

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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

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

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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.

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

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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

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

Möbius strip (9,639 words) [view diff] case mismatch in snippet view article find links to article

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

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

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.

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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),

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

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

Scattered space (713 words) [view diff] exact match in snippet view article find links to article

- Uniqueness of decomposition into perfect set and scattered set". "Real analysis - is Cantor-Bendixson theorem right for a general second countable space

John von Neumann (23,689 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,

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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. Carnielli, Walter; Coniglio, Marcelo

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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

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

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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

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

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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

Exponentiation (13,693 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

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

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

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

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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

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

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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

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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;

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

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

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

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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

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

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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

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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;

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

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

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

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,

Leibniz integral rule (11,250 words) [view diff] case mismatch in snippet view article find links to article

University Press. p. 10. ISBN 0-521-89697-5. Folland, Gerald (1999). Real Analysis: Modern Techniques and their Applications (2nd ed.). New York: John

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

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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

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

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

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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

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

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.

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

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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

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

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

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

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

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.

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

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