Courant, Richard 18881972
Overview
Works:  446 works in 2,469 publications in 11 languages and 21,396 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Author of introduction, Creator, Other, Contributor 
Classifications:  QA303, 510 
Publication Timeline
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Most widely held works about
Richard Courant
 Courant in Göttingen and New York : the story of an improbable mathematician by Constance Reid( Book )
 HilbertCourant by Constance Reid( Book )
 Studies and essays presented to R. Courant on his 60th birthday, Jan. 8, 1948( Book )
 Courant by Constance Reid( Book )
 Richard Courant, 18881972 : der Mathematiker als Zeitgenosse by Constance Reid( Book )
 The Courant  Friedrichs  Lewy (CFL) condition : 80 years after its discovery by Carlos A. de Moura( Book )
 Courant in Gottingen and New York( Visual )
 Richard Courant by F. G Tricomi( Book )
 Mathematical Association of America presents Richard Courant in Cournat in Göttingen and New York( Visual )
 Göttingen and New Yorkreflections on a life in mathematicsRichard Courant( Visual )
 Oral history interview with Friedrich Hund by Friedrich Hund( )
 Oral history interview with Richard Courant by Richard Courant( )
 Oral history interview with Ludwig Franz Benedikt Biermann by Ludwig Biermann( )
 Oral history interview with Ernst Pascual Jordan by Pascual Jordan( )
 Oral history interview with Martin Schwarzschild by Martin Schwarzschild( )
 Oral history interview with Edward Creutz by E Creutz( )
 Oral history interview with Eugene Paul Wigner by Eugene Paul Wigner( )
 Oral history interview with Werner Heisenberg by Werner Heisenberg( )
 Oral history interview with Marvin Stern by Marvin Stern( )
 Oral history joint interview with James Franck and Hertha SponerFranck by James Franck( )
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Most widely held works by
Richard Courant
What is Mathematics? An elementary approach to ideas and methods by
Richard Courant(
Book
)
256 editions published between 1941 and 2013 in 9 languages and held by 3,475 WorldCat member libraries worldwide
"Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Brought up to date with a new chapter by Ian Stewart, this second edition offers new insights into recent mathematical developments and describes proofs of the FourColor Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved."Jacket
256 editions published between 1941 and 2013 in 9 languages and held by 3,475 WorldCat member libraries worldwide
"Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Brought up to date with a new chapter by Ian Stewart, this second edition offers new insights into recent mathematical developments and describes proofs of the FourColor Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved."Jacket
Methods of mathematical physics by
Richard Courant(
Book
)
386 editions published between 1924 and 2013 in 4 languages and held by 2,934 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953
386 editions published between 1924 and 2013 in 4 languages and held by 2,934 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953
Differential and integral calculus by
Richard Courant(
Book
)
235 editions published between 1934 and 2003 in 3 languages and held by 1,976 WorldCat member libraries worldwide
V.1  The fundamentals ideas of the integral and differential calculus; Differentiation and integration of the elementary functions; Further development of the integral calculus; Applications; Taylor's theorem and the approximate expression of functions by polynomials; Numerical methods; Infinite series and other limiting processes; Fourier series; A sketch of the theoery of functions of several variables; The differential equations for the simplest types of vibration; Appendices; Index. v.2  Preliminari remarks on analytical geometry and vector analysis; Functions of several variables and their derivatives; Developments and applications of the differential calculus; Multiple integrals; Integration over regions in several dimensions; Differential equations; Calculus of variations; Functions of a complex variable; Appendices; Index
235 editions published between 1934 and 2003 in 3 languages and held by 1,976 WorldCat member libraries worldwide
V.1  The fundamentals ideas of the integral and differential calculus; Differentiation and integration of the elementary functions; Further development of the integral calculus; Applications; Taylor's theorem and the approximate expression of functions by polynomials; Numerical methods; Infinite series and other limiting processes; Fourier series; A sketch of the theoery of functions of several variables; The differential equations for the simplest types of vibration; Appendices; Index. v.2  Preliminari remarks on analytical geometry and vector analysis; Functions of several variables and their derivatives; Developments and applications of the differential calculus; Multiple integrals; Integration over regions in several dimensions; Differential equations; Calculus of variations; Functions of a complex variable; Appendices; Index
Introduction to calculus and analysis by
Richard Courant(
Book
)
51 editions published between 1965 and 2000 in 3 languages and held by 1,336 WorldCat member libraries worldwide
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is wellillustrated, wellmotivated and very wellprovided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)
51 editions published between 1965 and 2000 in 3 languages and held by 1,336 WorldCat member libraries worldwide
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is wellillustrated, wellmotivated and very wellprovided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)
Supersonic flow and shock waves by
Richard Courant(
Book
)
82 editions published between 1940 and 2012 in 4 languages and held by 1,114 WorldCat member libraries worldwide
Appendices and remarks after some chapters
82 editions published between 1940 and 2012 in 4 languages and held by 1,114 WorldCat member libraries worldwide
Appendices and remarks after some chapters
Vorlesungen über Differential und Integralrechnung by
Richard Courant(
Book
)
139 editions published between 1927 and 2013 in 3 languages and held by 832 WorldCat member libraries worldwide
Band 1
139 editions published between 1927 and 2013 in 3 languages and held by 832 WorldCat member libraries worldwide
Band 1
Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen by
Adolf Hurwitz(
Book
)
77 editions published between 1922 and 2010 in 5 languages and held by 763 WorldCat member libraries worldwide
With an additional article by R. Courant: Geometrische Funktionentheorie
77 editions published between 1922 and 2010 in 5 languages and held by 763 WorldCat member libraries worldwide
With an additional article by R. Courant: Geometrische Funktionentheorie
Dirichlet's principle, conformal mapping, and minimal surfaces by
Richard Courant(
Book
)
53 editions published between 1950 and 2005 in 3 languages and held by 722 WorldCat member libraries worldwide
It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this category. It is written in a style which, as the author hopes, expresses adequately the balance and tension between the individuality of mathematical objects and the generality of mathematical methods. The author has been interested in Dirichlet's Principle and its various applications since his days as a student under David Hilbert. Plans for writing a book on these topics were revived when Jesse Douglas' work suggested to him a close connection between Dirichlet's Principle and basic problems concerning minimal sur faces. But war work and other duties intervened; even now, after much delay, the book appears in a much less polished and complete form than the author would have liked
53 editions published between 1950 and 2005 in 3 languages and held by 722 WorldCat member libraries worldwide
It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this category. It is written in a style which, as the author hopes, expresses adequately the balance and tension between the individuality of mathematical objects and the generality of mathematical methods. The author has been interested in Dirichlet's Principle and its various applications since his days as a student under David Hilbert. Plans for writing a book on these topics were revived when Jesse Douglas' work suggested to him a close connection between Dirichlet's Principle and basic problems concerning minimal sur faces. But war work and other duties intervened; even now, after much delay, the book appears in a much less polished and complete form than the author would have liked
Calculus of variations : with supplementary notes and exercises, 19451946 by
Richard Courant(
Book
)
53 editions published between 1932 and 1974 in English and Undetermined and held by 311 WorldCat member libraries worldwide
53 editions published between 1932 and 1974 in English and Undetermined and held by 311 WorldCat member libraries worldwide
Methoden der mathematischen Physik by
Richard Courant(
Book
)
3 editions published in 1937 in German and held by 269 WorldCat member libraries worldwide
3 editions published in 1937 in German and held by 269 WorldCat member libraries worldwide
Theory of functions of a complex variable by
Richard Courant(
Book
)
40 editions published between 1948 and 1979 in 3 languages and held by 251 WorldCat member libraries worldwide
40 editions published between 1948 and 1979 in 3 languages and held by 251 WorldCat member libraries worldwide
Development of mathematics in the 19th century by
Felix Klein(
Book
)
44 editions published between 1926 and 1979 in German and English and held by 232 WorldCat member libraries worldwide
44 editions published between 1926 and 1979 in German and English and held by 232 WorldCat member libraries worldwide
Methoden der mathematischen Physik by
Richard Courant(
Book
)
20 editions published between 1924 and 1968 in German and held by 200 WorldCat member libraries worldwide
20 editions published between 1924 and 1968 in German and held by 200 WorldCat member libraries worldwide
Methoden der mathematischen Physik by
Richard Courant(
Book
)
13 editions published in 1924 in German and held by 196 WorldCat member libraries worldwide
13 editions published in 1924 in German and held by 196 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
57 editions published between 1965 and 2012 in English and Undetermined and held by 179 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
57 editions published between 1965 and 2012 in English and Undetermined and held by 179 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
Vorlesungen über Differential und Integralrechnung by
Richard Courant(
Book
)
38 editions published between 1927 and 1971 in 3 languages and held by 157 WorldCat member libraries worldwide
38 editions published between 1927 and 1971 in 3 languages and held by 157 WorldCat member libraries worldwide
Differential and integral calculus by
Richard Courant(
Book
)
81 editions published between 1934 and 2011 in 5 languages and held by 152 WorldCat member libraries worldwide
81 editions published between 1934 and 2011 in 5 languages and held by 152 WorldCat member libraries worldwide
Geometry and the imagination by
David Hilbert(
Book
)
2 editions published in 1932 in German and held by 150 WorldCat member libraries worldwide
2 editions published in 1932 in German and held by 150 WorldCat member libraries worldwide
Differential and integral calculus by
Richard Courant(
Book
)
3 editions published in 1937 in English and held by 88 WorldCat member libraries worldwide
3 editions published in 1937 in English and held by 88 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
17 editions published between 1965 and 2008 in English and French and held by 67 WorldCat member libraries worldwide
From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...)
17 editions published between 1965 and 2008 in English and French and held by 67 WorldCat member libraries worldwide
From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...)
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Audience Level
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Related Identities
 Hilbert, David 18621943 Author Contributor
 Robbins, Herbert
 John, Fritz 19101994
 Reid, Constance Author
 Friedrichs, K. O. (Kurt Otto) 19011983 Author
 McShane, E. J. (Edward James) 1904 Translator Author
 Stewart, Ian 1945 Annotator Adapter Editor
 Hurwitz, Adolf 18591919 Author
 CohnVossen, S. (Stephan) 19021936 Other Editor Creator
 Courant Institute of Mathematical Sciences
Useful Links
Associated Subjects
Aerodynamics, Supersonic Atomic theory Bohr, Niels, Born, Max, Breit, Gregory, Calculus Calculus, Integral Calculus of variations Computer scienceMathematics Conformal mapping Courant, Richard, Debye, Peter J. W.(Peter Josef William), Differential calculus Differential equations, Partial Dirichlet principle Einstein, Albert, Elliptic functions Engineering mathematics Fermi, Enrico, Friedrichs, K. O.(Kurt Otto), Functions Functions of complex variables Geometry Geometry, NonEuclidean Heisenberg, Werner, Hilbert, David, Information theory Integral domains Jordan, Pascual, Lewy, Hans, Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsStudy and teaching Minimal surfaces Nuclear physics Numerical analysis Oppenheimer, J. Robert, Plateau's problem Princeton University Quantum theory Schrödinger, Erwin, Science Shock waves Sommerfeld, Arnold, Surfaces, Representation of United States Universität Göttingen Wigner, Eugene Paul,
Alternative Names
CourantFriedrichs 18881972
CourantHilbert 18881972
Courant R.
Courant R. 18881972
Courant, R. (Richard), 18881972
Courant, Richard
Courant, Richard 1888
Hilbert, ... Courant 18881972
Kūran, R. 18881972
Kurant, R.
Kurant, R. 18881972
Kurant, Rihard.
Kurant, Rikhard
Kurant, Rikhard 18881972
Kūranto, R. 18881972
Richard Courant Duits wiskundige
Richard Courant German American mathematician (18881972)
Richard Courant matemático alemán
Richard Courant matematico tedesco
Richard Courant mathématicien allemand
Richard Courant tysk matematikar
Richard Courant tysk matematiker
Richardus Courant
Курант Р
Курант Р. 18881972
Рихард Курант
Ріхард Курант
Ռիխարդ Կուրանտ
קוראנט, ריכרד 18881972
קורנט, ריכרד 18881972
ریچارد کورانت ریاضیدان آلمانی
რიხარდ კურანტი
리하르트 쿠란트
クーラン, R.
クーラント, R.
リヒャルト・クーラント
理查·科朗特
Languages
English
(1,098)
German (466)
Spanish (34)
Italian (27)
Chinese (17)
Polish (7)
Japanese (6)
Russian (4)
Hungarian (2)
French (1)
Romanian (1)
German (466)
Spanish (34)
Italian (27)
Chinese (17)
Polish (7)
Japanese (6)
Russian (4)
Hungarian (2)
French (1)
Romanian (1)
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