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searching for Foundations of geometry 86 found (129 total)

Hilbert's sixth problem (1,181 words) [view diff] exact match in snippet view article find links to article

Treatment of the Axioms of Physics. The investigations on the foundations of geometry suggest the problem: To treat in the same manner, by means of axioms

Daniel Santbech (323 words) [view diff] exact match in snippet view article find links to article

well as for the practical application of war, and utilized the foundations of geometry, with ample references to Euclid and Ptolemy, in order to do so

Howard Levi (992 words) [view diff] case mismatch in snippet view article find links to article

geometry. Much of the Wesleyan material was based on his book Foundations of Geometry and Trigonometry. His book Polynomials, Power Series, and Calculus

Rudolf Wille (353 words) [view diff] exact match in snippet view article find links to article

research interests included algebra, order and lattice theory, foundations of geometry, discrete mathematics, measurement theory, mathematics in music

Gyula Strommer (147 words) [view diff] exact match in snippet view article find links to article

the Faculty of Mechanical Engineering. His research topics: the foundations of geometry, Bolyai-Lobachevsky geometry. * E. Molnár: Constructions in the

Lambert quadrilateral (584 words) [view diff] exact match in snippet view article find links to article

ISBN 0-387-96458-4, in honor of Ibn al-Haytham Martin, George E. (1998). The foundations of geometry and the non-Euclidean plane (Corrected 4. print. ed.). New York

Non-Desarguesian plane (1,174 words) [view diff] case mismatch in snippet view article find links to article

dimension 2. Hilbert, David (1950) [first published 1902], The Foundations of Geometry [Grundlagen der Geometrie] (PDF), English translation by E.J. Townsend

Karol Borsuk (384 words) [view diff] case mismatch in snippet view article find links to article

Polish Scientific Publishers, 1969) Podstawy geometrii (1955) Foundations of Geometry (1960) with Wanda Szmielew, North Holland publisher Theory of Retracts

Farkas Bolyai (610 words) [view diff] exact match in snippet view article find links to article

he spent the rest of his life. Bolyai's main interests were the foundations of geometry and the parallel axiom. His main work, Tentamen juventutem studiosam

Jean Nicod (478 words) [view diff] case mismatch in snippet view article find links to article

Introductory Survey", International Labor Review 9: 467–80. 1930. Foundations of Geometry & Induction, Containing Geometry in a Sensible World and the Logical

Hypercycle (geometry) (1,525 words) [view diff] exact match in snippet view article

plane is a harmonic, genus 1 curve. Martin, George E. (1986). The foundations of geometry and the non-euclidean plane (1., corr. Springer ed.). New York:

Secant line (1,006 words) [view diff] case mismatch in snippet view article find links to article

Company, p. 387, ISBN 9780393040029. Venema, Gerard A. (2006), Foundations of Geometry, Pearson/Prentice-Hall, p. 229, ISBN 978-0-13-143700-5 Jacobs,

Giuseppe Veronese (359 words) [view diff] case mismatch in snippet view article find links to article

Veronese e i fondamenti della geometria [Giuseppe Veronese and the Foundations of Geometry], Milano, Unicopli, "Biblioteca di cultura filosofica, 10", 1999

Herbert Busemann (769 words) [view diff] exact match in snippet view article find links to article

1955, Dover, 2005. Metric methods in Finsler spaces and in the foundations of geometry, Princeton University Press, Oxford University Press, 1942. with

Non-Archimedean geometry (321 words) [view diff] exact match in snippet view article find links to article

Geometry: Euclid and beyond (2000), p. 158. Hilbert, David (1902), The foundations of geometry (PDF), The Open Court Publishing Co., La Salle, Ill., MR 0116216

Geometric transformation (759 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-13-044941-5. OCLC 50004269. Venema, Gerard A. (2006), Foundations of Geometry, Pearson Prentice Hall, p. 285, ISBN 9780131437005 "Geometry Translation"

Gilbert de Beauregard Robinson (748 words) [view diff] case mismatch in snippet view article find links to article

papers on the topic of symmetric groups. He also published The Foundations of Geometry (1940) and The Representations of the Symmetric Groups (1961) as

Aleksei Pogorelov (2,671 words) [view diff] exact match in snippet view article find links to article

textbooks on analytical geometry, on differential geometry, and on foundations of geometry. Pogorelov's uniqueness theorem and the Alexandrov–Pogorelov theorem

Robert Lee Moore (1,682 words) [view diff] exact match in snippet view article find links to article

University of Chicago, and whose research interests were on the foundations of geometry, heard of Robert's feat, he arranged for a scholarship that would

Journal of Geometry (200 words) [view diff] exact match in snippet view article find links to article

covering geometry, broadly considered. In particular this includes "foundations of geometry, geometric algebra, finite geometries, combinatorial geometry,

Affine geometry (2,632 words) [view diff] case mismatch in snippet view article find links to article

first non-Desarguesian plane was noted by David Hilbert in his Foundations of Geometry. The Moulton plane is a standard illustration. In order to provide

Nikolai Lobachevsky (2,304 words) [view diff] case mismatch in snippet view article find links to article

wrote a paper about his ideas called "A Concise Outline of the Foundations of Geometry" that was published by the Kazan Messenger but was rejected when

Affine plane (583 words) [view diff] case mismatch in snippet view article find links to article

of Mandelbrot, "Gaussian Self-Affinity and Fractals", of Levi, "Foundations of Geometry and Trigonometry", and of Yaglom, "A Simple Non-Euclidean Geometry

Locus (mathematics) (1,401 words) [view diff] case mismatch in snippet view article

explaining a slightly old-fashioned term. George E. Martin, The Foundations of Geometry and the Non-Euclidean Plane, Springer-Verlag, 1975. Hamilton, Henry

270 BC (321 words) [view diff] exact match in snippet view article find links to article

chiefly known for the Elements treatise, which established the foundations of geometry, has been estimated to die in 270 BC Diano, Carlo (February 22

Edwin Bidwell Wilson (1,687 words) [view diff] case mismatch in snippet view article find links to article

Russell's works The Principles of Mathematics and An Essay on the Foundations of Geometry where he highlighted the strong role of Peano in shaping the foundations

Timeline of geometry (1,413 words) [view diff] case mismatch in snippet view article find links to article

Hilbert presents a set of self-consistent geometric axioms in Foundations of Geometry 1901 – Élie Cartan develops the exterior derivative, 1912 – Luitzen

Line segment (1,501 words) [view diff] case mismatch in snippet view article find links to article

pages 2 & 3, Marcel Dekker ISBN 0-8247-6671-7 David Hilbert The Foundations of Geometry. The Open Court Publishing Company 1950, p. 4 Wikimedia Commons

Undergraduate Texts in Mathematics (4,182 words) [view diff] case mismatch in snippet view article find links to article

Theory. ISBN 978-0-387-90092-6. Martin, George E. (1975). The Foundations of Geometry and the Non-Euclidean Plane. ISBN 978-1-4612-5727-1. Kemeny, John

Serial relation (622 words) [view diff] case mismatch in snippet view article find links to article

Bedeutung der Weberische Gesetze Russell (1897) An Essay on the Foundations of Geometry Jing Tao Yao and Davide Ciucci and Yan Zhang (2015). "Generalized

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

theory, combinatorial topology, geometric group theory, and the foundations of geometry. His works include Knoten und Gruppen (1926), Einführung in die

Dehn plane (640 words) [view diff] exact match in snippet view article find links to article

ISSN 0025-5831, JFM 31.0471.01, S2CID 122651688 Hilbert, David (1902), The foundations of geometry (PDF), The Open Court Publishing Co., La Salle, Ill., MR 0116216

The Principles of Mathematics (1,871 words) [view diff] exact match in snippet view article find links to article

Contradiction" explains it. Russell had written previously on foundations of geometry, denoting, and relativism of space and time, so those topics are

Bertrand Russell (14,914 words) [view diff] case mismatch in snippet view article find links to article

foundations of mathematics at Trinity. In 1897, he wrote An Essay on the Foundations of Geometry (submitted at the Fellowship Examination of Trinity College) which

Parallel (geometry) (2,736 words) [view diff] case mismatch in snippet view article

(1st ed.), London: Macmillan and Co. Wylie, C. R. Jr. (1964), Foundations of Geometry, McGraw–Hill Papadopoulos, Athanase; Théret, Guillaume (2014),

Saccheri quadrilateral (1,118 words) [view diff] case mismatch in snippet view article find links to article

Development and History, 4th edition, W. H. Freeman, 2008. George E. Martin, The Foundations of Geometry and the Non-Euclidean Plane, Springer-Verlag, 1975

Isosceles triangle (4,080 words) [view diff] case mismatch in snippet view article find links to article

Information Age Publishing, ISBN 9781607526001 Venema, Gerard A. (2006), Foundations of Geometry, Prentice-Hall, ISBN 0-13-143700-3 Washburn, Dorothy K. (July 1984)

Ultraparallel theorem (983 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-88385-522-5. W. Thurston, Three-Dimensional Geometry and Topology, page 72 Karol Borsuk & Wanda Szmielew (1960) Foundations of Geometry, page 291.

Hilbert's arithmetic of ends (923 words) [view diff] case mismatch in snippet view article find links to article

Development of Bolyai-Lobahevskian Geometry" as Appendix III in "Foundations of Geometry", 1971. Robin Hartshorne, "Geometry: Euclid and Beyond", Springer-Verlag

Hjelmslev's theorem (318 words) [view diff] case mismatch in snippet view article find links to article

called the Hjelmslev transformation. Martin, George E. (1998), The Foundations of Geometry and the Non-Euclidean Plane, Undergraduate Texts in Mathematics

Euclid's lemma (1,718 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Society, ISBN 978-0-821-82004-9 Martin, G. E. (2012), The Foundations of Geometry and the Non-Euclidean Plane, Undergraduate Texts in Mathematics

Hyperbolic triangle (1,657 words) [view diff] exact match in snippet view article find links to article

published posthumously in 1786. Martin, George E. (1998). The foundations of geometry and the non-Euclidean plane (Corrected 4. print. ed.). New York

Giordano Vitale (751 words) [view diff] case mismatch in snippet view article find links to article

Publishing Company, Chicago] [George Edward Martin (1998), "The Foundations of Geometry and the Non-Euclidean Plane", p.272, Springer] M. Teresa Borgato

Max Dehn (1,351 words) [view diff] exact match in snippet view article find links to article

of Jewish origin in Hamburg, Imperial Germany. He studied the foundations of geometry with Hilbert at Göttingen in 1899, and obtained a proof of the

Pilar Ribeiro (550 words) [view diff] case mismatch in snippet view article find links to article

Portuguese of David Hilbert's classic work, Grundlagen der Geometrie (Foundations of Geometry). The couple did not return permanently to Portugal until after

Adolf Phalén (349 words) [view diff] exact match in snippet view article find links to article

time and movement, as well as epistemological questions about the foundations of geometry and the concepts of infinity and quantity. Phaléns criticism of

Line (geometry) (4,299 words) [view diff] case mismatch in snippet view article

University Press. p. 314. ISBN 9781139473736. Wylie Jr., C.R. (1964), Foundations of Geometry, New York: McGraw-Hill, p. 59, definition 3, ISBN 0-07-072191-2

Bernhard Riemann (2,917 words) [view diff] exact match in snippet view article find links to article

Riemann, his student, to prepare a Habilitationsschrift on the foundations of geometry. Over many months, Riemann developed his theory of higher dimensions

Classical unified field theories (2,023 words) [view diff] exact match in snippet view article find links to article

pursued several avenues of generalization, including extending the foundations of geometry and adding an extra spatial dimension. The first attempts to provide

Karl Georg Christian von Staudt (1,608 words) [view diff] case mismatch in snippet view article find links to article

Young page 141 Hans Freudenthal (1974) "The Impact of Von Staudt's Foundations of Geometry", in For Dirk Struik, R.S. Cohen editor, D. Reidel. Also found

The International Library of Psychology, Philosophy and Scientific Method (1,016 words) [view diff] exact match in snippet view article find links to article

Crookshank. Moore, G. E. Philosophical studies (1922). Nicod, Jean. Foundations of geometry and induction (1930). Ogden, Charles Kay. Bentham's theory of fictions

Hyperbolic functions (4,822 words) [view diff] exact match in snippet view article find links to article

JSTOR 3602492. S2CID 125866575. Martin, George E. (1986). The foundations of geometry and the non-euclidean plane (1st corr. ed.). New York: Springer-Verlag

Similarity (geometry) (3,483 words) [view diff] case mismatch in snippet view article

Prentice-Hall. ISBN 978-0-13-032927-1. Venema, Gerard A. (2006). Foundations of Geometry. Pearson Prentice-Hall. ISBN 978-0-13-143700-5. Yale, Paul B. (1968)

Bertrand Russell's philosophical views (6,659 words) [view diff] case mismatch in snippet view article find links to article

his own work. Russell's first mathematical book, An Essay on the Foundations of Geometry, was published in 1897. This work was heavily influenced by Immanuel

Beniamino Segre (1,319 words) [view diff] exact match in snippet view article find links to article

sopra un corpo qualsiasi [Lectures on modern geometry. Vol. 1. Foundations of geometry over any division ring] (in Italian), Bologna: Zanichelli, pp. IV+195

270s BC (2,702 words) [view diff] exact match in snippet view article find links to article

chiefly known for the Elements treatise, which established the foundations of geometry, has been estimated to die in 270 BC Qian, Sima. Records of the

Thomas Gerald Room (1,455 words) [view diff] exact match in snippet view article find links to article

began investigating finite geometry, and wrote a textbook on the foundations of geometry. Room invented Room squares in a brief note published in 1955.

Mathematics (16,258 words) [view diff] case mismatch in snippet view article find links to article

to 1870". arXiv:1409.1140 [math.HO]. Hilbert, David (1902). The Foundations of Geometry. Open Court Publishing Company. p. 1. doi:10.1126/science.16.399

Rolf Nevanlinna (2,324 words) [view diff] exact match in snippet view article find links to article

Frithiof). Nevanlinna also published in Finnish a book on the foundations of geometry and a semipopular account of the Theory of Relativity. His Finnish

Gottfried Wilhelm Leibniz (18,767 words) [view diff] case mismatch in snippet view article find links to article

Risi, Vincenzo (2016). Leibniz on the Parallel Postulate and the Foundations of Geometry. Birkhäuser. p. 4. ISBN 978-3-319-19863-7. De Risi, Vincenzo (10

Stereographic projection (5,777 words) [view diff] exact match in snippet view article find links to article

formula found in Bernhard Riemann's Habilitationsschrift on the foundations of geometry, delivered at Göttingen in 1854, and entitled Über die Hypothesen

Hugo Dingler (1,024 words) [view diff] exact match in snippet view article find links to article

mathematics was a follower of Dingler, at least with respect to the foundations of geometry and physics. The so-called Erlangen School of followers and allies

Gottlob Frege (5,315 words) [view diff] case mismatch in snippet view article find links to article

Mathematiker-Vereinigung XII (1903), 368–375. In English: "On the Foundations of Geometry". 1967: Kleine Schriften. (I. Angelelli, ed.). Darmstadt: Wissenschaftliche

Oskar Becker (1,934 words) [view diff] case mismatch in snippet view article find links to article

Habilitationsschrift on Investigations of the Phenomenological Foundations of Geometry and their Physical Applications, (1923). Becker was Husserl's assistant

Constantin Carathéodory (4,812 words) [view diff] case mismatch in snippet view article find links to article

Michael; Majer, Ulrich (2004). David Hilbert's Lectures on the Foundations of Geometry 1891–1902. Springer Science & Business Media. p. 11. ISBN 978-3-540-64373-9

John Stallo (2,442 words) [view diff] case mismatch in snippet view article find links to article

Russell[7], who awarded it three footnotes in his An Essay on the Foundations of Geometry (1897).[8] Russell's footnotes brought Stallo to the attention

Philip P. Wiener (1,025 words) [view diff] case mismatch in snippet view article find links to article

He translated a number of works from French including Nicod's Foundations of Geometry and Induction and Duhem's The Aim and Structure of Physical Theory

Ion Barbu (2,497 words) [view diff] exact match in snippet view article find links to article

Finsler, or Lagrange metrics." Barbilian made a contribution to the foundations of geometry with his articles in 1940 and 1941 in Jahresbericht der Deutschen

History of geometry (6,910 words) [view diff] case mismatch in snippet view article find links to article

Hilbert in 1894 in his dissertation Grundlagen der Geometrie (Foundations of Geometry). In the mid-18th century, it became apparent that certain progressions

Lie group (9,440 words) [view diff] exact match in snippet view article find links to article

continuous groups came from ideas of Bernhard Riemann, on the foundations of geometry, and their further development in the hands of Klein. Thus three

Projective plane (6,597 words) [view diff] exact match in snippet view article find links to article

quite separate fields. On the one hand, the researcher into the foundations of geometry tends to regard Desarguesian spaces as completely known. Since

Timeline of mathematics (7,723 words) [view diff] case mismatch in snippet view article find links to article

Hilbert presents a set of self-consistent geometric axioms in Foundations of Geometry. 1900 – David Hilbert states his list of 23 problems, which show

Henri Poincaré (9,744 words) [view diff] case mismatch in snippet view article find links to article

"On the Nature of Mathematical Reasoning", 972–81. 1898, "On the Foundations of Geometry", 982–1011. 1900, "Intuition and Logic in Mathematics", 1012–20

Coordinate systems for the hyperbolic plane (2,291 words) [view diff] exact match in snippet view article find links to article

the anglesum being 180 degrees. Martin, George E. (1998). The foundations of geometry and the non-Euclidean plane (Corrected 4. print. ed.). New York

Cayley–Klein metric (3,462 words) [view diff] case mismatch in snippet view article find links to article

Grundlagen. Leipzig: Teubner. Russell, Bertrand (1898), An Essay on the Foundations of Geometry re-issued 1956 by Dover Publications, Inc. Alfred North Whitehead

Bertrand Russell's political views (4,575 words) [view diff] case mismatch in snippet view article find links to article

Social Democracy, London: Longmans, Green 1897, An Essay on the Foundations of Geometry, Cambridge: At the University Press. 1900, A Critical Exposition

Franz Alt (mathematician) (2,125 words) [view diff] exact match in snippet view article

Alt engaged in research in set-theoretic topology and logical foundations of geometry. In addition, in the next few years he became interested in econometrics

Antiquarian science books (4,623 words) [view diff] case mismatch in snippet view article find links to article

Radioactivity Hilbert, David (Germany). Grundlagen der Geometrie (The Foundations of Geometry). 1899. Mathematics Ramón y Cajal, Santiago (Spain). Textura del

Arrangement of lines (5,913 words) [view diff] exact match in snippet view article find links to article

Sectio Mathematica, 14: 107–108 Martin, George E. (1996), The foundations of geometry and the non-Euclidean plane, Undergraduate Texts in Mathematics

Topological geometry (4,188 words) [view diff] exact match in snippet view article find links to article

Amsterdam: North-Holland, pp. 1255–1324 Hilbert, D. (1899), The foundations of geometry, translation by E. J. Townsend, 1902, Chicago Knarr, N. (1995)

Hajime Tanabe (8,050 words) [view diff] case mismatch in snippet view article find links to article

Investigations into the Philosophy of Mathematics. ‘The Logical Foundations of Geometry’ [幾何学の論理的基礎] (Tetsugaku Zasshi [哲学雑誌], No. 371, No. 372 and No

Dehn invariant (5,650 words) [view diff] exact match in snippet view article find links to article

for Euclidean geometry. This was part of a program to make the foundations of geometry more rigorous, by treating explicitly notions like area that Euclid's

List of Jewish mathematicians (15,774 words) [view diff] exact match in snippet view article find links to article

mathematician and computer scientist Moritz Pasch (1843–1930), foundations of geometry Chaim Pekeris (1908–1992), mathematician and physicist: V15:716

Giuseppe Longo (2,486 words) [view diff] exact match in snippet view article find links to article

invention of perspective in painting and its connection to the foundations of geometry and the concept of infinity in mathematics. Longo's research in

Philip McShane (15,373 words) [view diff] exact match in snippet view article find links to article

and statistical methods and added scattered reflections on the foundations of geometry and the significance of recurrence schemes in and for an adequate

Modern influence of Ancient Greece (14,788 words) [view diff] exact match in snippet view article find links to article

chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century.