Courant, Richard 18881972
Overview
Works:  408 works in 2,640 publications in 10 languages and 21,543 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Author of introduction, Honoree, Other, Creator, Contributor 
Classifications:  QA303, 510 
Publication Timeline
.
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 )
 The Courant  Friedrichs  Lewy (CFL) condition : 80 years after its discovery by Carlos A. de Moura( )
 Studies and essays presented to R. Courant on his 60th birthday, Jan. 8, 1948( 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 Edward Creutz by E Creutz( )
 Oral history interview with Eugene Paul Wigner by Eugene Paul Wigner( )
 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 Richard Courant by Richard Courant( )
 Oral history joint interview with James Franck and Hertha SponerFranck by James Franck( )
 Oral history interview with Marvin Stern by Marvin Stern( )
 Oral history interview with Martin Schwarzschild by Martin Schwarzschild( )
 Oral history interview with Friedrich Hund by Friedrich Hund( )
 Oral history interview with Werner Heisenberg by Werner Heisenberg( )
 Richard Courant, January 8, 1888  January 27, 1972 by Peter D Lax( Book )
 Reid, William T., Papers by William T Reid( )
more
fewer
Most widely held works by
Richard Courant
Methods of mathematical physics by
Richard Courant(
Book
)
354 editions published between 1924 and 2013 in 4 languages and held by 4,441 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1937, this book, together with its first 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 final revision of 1961
354 editions published between 1924 and 2013 in 4 languages and held by 4,441 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1937, this book, together with its first 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 final revision of 1961
What is Mathematics? An elementary approach to ideas and methods by
Richard Courant(
Book
)
149 editions published between 1941 and 1996 in 3 languages and held by 2,784 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
149 editions published between 1941 and 1996 in 3 languages and held by 2,784 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
Differential and integral calculus by
Richard Courant(
Book
)
282 editions published between 1934 and 2011 in 5 languages and held by 2,424 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
282 editions published between 1934 and 2011 in 5 languages and held by 2,424 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
)
182 editions published between 1965 and 2012 in 5 languages and held by 1,923 WorldCat member libraries worldwide
The new Chapter 1 contains all the fundamental properties of linear differential forms and their integrals. These prepare the reader for the introduction to higherorder exterior differential forms added to Chapter 3. Also found now in Chapter 3 are a new proof of the implicit function theorem by successive approximations and a discus sion of numbers of critical points and of indices of vector fields in two dimensions. Extensive additions were made to the fundamental properties of multiple integrals in Chapters 4 and 5. Here one is faced with a familiar difficulty: integrals over a manifold M, defined easily enough by subdividing M into convenient pieces, must be shown to be inde pendent of the particular subdivision. This is resolved by the sys tematic use of the family of Jordan measurable sets with its finite intersection property and of partitions of unity. In order to minimize topological complications, only manifolds imbedded smoothly into Euclidean space are considered. The notion of "orientation" of a manifold is studied in the detail needed for the discussion of integrals of exterior differential forms and of their additivity properties. On this basis, proofs are given for the divergence theorem and for Stokes's theorem in n dimensions. To the section on Fourier integrals in Chapter 4 there has been added a discussion of Parseval's identity and of multiple Fourier integrals
182 editions published between 1965 and 2012 in 5 languages and held by 1,923 WorldCat member libraries worldwide
The new Chapter 1 contains all the fundamental properties of linear differential forms and their integrals. These prepare the reader for the introduction to higherorder exterior differential forms added to Chapter 3. Also found now in Chapter 3 are a new proof of the implicit function theorem by successive approximations and a discus sion of numbers of critical points and of indices of vector fields in two dimensions. Extensive additions were made to the fundamental properties of multiple integrals in Chapters 4 and 5. Here one is faced with a familiar difficulty: integrals over a manifold M, defined easily enough by subdividing M into convenient pieces, must be shown to be inde pendent of the particular subdivision. This is resolved by the sys tematic use of the family of Jordan measurable sets with its finite intersection property and of partitions of unity. In order to minimize topological complications, only manifolds imbedded smoothly into Euclidean space are considered. The notion of "orientation" of a manifold is studied in the detail needed for the discussion of integrals of exterior differential forms and of their additivity properties. On this basis, proofs are given for the divergence theorem and for Stokes's theorem in n dimensions. To the section on Fourier integrals in Chapter 4 there has been added a discussion of Parseval's identity and of multiple Fourier integrals
Supersonic flow and shock waves by
Richard Courant(
Book
)
87 editions published between 1940 and 2012 in 3 languages and held by 1,116 WorldCat member libraries worldwide
Appendices and remarks after some chapters
87 editions published between 1940 and 2012 in 3 languages and held by 1,116 WorldCat member libraries worldwide
Appendices and remarks after some chapters
Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen by
Adolf Hurwitz(
Book
)
79 editions published between 1922 and 2010 in 4 languages and held by 793 WorldCat member libraries worldwide
With an additional article by R. Courant: Geometrische Funktionentheorie
79 editions published between 1922 and 2010 in 4 languages and held by 793 WorldCat member libraries worldwide
With an additional article by R. Courant: Geometrische Funktionentheorie
Vorlesungen über Differential und Integralrechnung by
Richard Courant(
Book
)
145 editions published between 1927 and 1972 in German and English and held by 782 WorldCat member libraries worldwide
Band 1
145 editions published between 1927 and 1972 in German and English and held by 782 WorldCat member libraries worldwide
Band 1
Dirichlet's principle, conformal mapping, and minimal surfaces by
Richard Courant(
Book
)
46 editions published between 1950 and 2005 in 3 languages and held by 743 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
46 editions published between 1950 and 2005 in 3 languages and held by 743 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
Was ist Mathematik? by
Richard Courant(
Book
)
61 editions published between 1954 and 2013 in 7 languages and held by 622 WorldCat member libraries worldwide
Mathematik ist nicht jedermanns Sache. Wer sie liebt, f¿r den ist sie spannend und aufregend wie das sch¿nste R¿el. F¿r viele Menschen aber ist Mathematik ein Buch mit sieben Siegeln, das man ehrfurchtsvoll den Eingeweihten ¿berl¿. Das Ziel von BWas ist Mathematik?/B ist es, Br¿cken zu schlagen und jeden einzuladen, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Die Autoren verschweigen nicht, da¿Mathematik neben Begabung auch viel Flei¿und Mitdenken erfordert: man sollte sich mit ihr besch¿igen, nicht nur ¿ber sie philosophieren. Wer aber bereit ist, beides einzusetzen, den f¿hren die Autoren mit gro¿m Geschick und anschaulichen Hilfsmitteln hin zu einem Einblick in das innere Gef¿ge der Mathematik sowie ihrer historischen Entwicklung. Behandelt werden die Fragenkomplexe: Zahlen, geometrische Konstruktionen, Algebra der Zahlk¿rper, projektive Geometrie, Axiomatik, nichteuklidische Geometrien, Topologie, Funktionen, Grenzwerte, Extrema und Infinitesimalrechnung. BWas ist Mathematik/B? ist f¿r Leser jeden Alters und jeder Vorbildung gedacht. Gymnasiallehrer finden eine reiche Auswahl an Beispielen, Studenten ist es ein Leitfaden, wenn sie die Orientierung zu verlieren meinen, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen. TOC:Die nat¿rlichen Zahlen. Das Zahlensystem der Mathematik. Geometrische Konstruktionen, Die Algebra der Zahlk¿rper. Projektive Geometrie. Axiomatik, Nichteuklidische Geometrien. Topologie. Funktionen und Grenzwerte. Maxima und Minima. Die Infinitesimalrechung
61 editions published between 1954 and 2013 in 7 languages and held by 622 WorldCat member libraries worldwide
Mathematik ist nicht jedermanns Sache. Wer sie liebt, f¿r den ist sie spannend und aufregend wie das sch¿nste R¿el. F¿r viele Menschen aber ist Mathematik ein Buch mit sieben Siegeln, das man ehrfurchtsvoll den Eingeweihten ¿berl¿. Das Ziel von BWas ist Mathematik?/B ist es, Br¿cken zu schlagen und jeden einzuladen, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Die Autoren verschweigen nicht, da¿Mathematik neben Begabung auch viel Flei¿und Mitdenken erfordert: man sollte sich mit ihr besch¿igen, nicht nur ¿ber sie philosophieren. Wer aber bereit ist, beides einzusetzen, den f¿hren die Autoren mit gro¿m Geschick und anschaulichen Hilfsmitteln hin zu einem Einblick in das innere Gef¿ge der Mathematik sowie ihrer historischen Entwicklung. Behandelt werden die Fragenkomplexe: Zahlen, geometrische Konstruktionen, Algebra der Zahlk¿rper, projektive Geometrie, Axiomatik, nichteuklidische Geometrien, Topologie, Funktionen, Grenzwerte, Extrema und Infinitesimalrechnung. BWas ist Mathematik/B? ist f¿r Leser jeden Alters und jeder Vorbildung gedacht. Gymnasiallehrer finden eine reiche Auswahl an Beispielen, Studenten ist es ein Leitfaden, wenn sie die Orientierung zu verlieren meinen, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen. TOC:Die nat¿rlichen Zahlen. Das Zahlensystem der Mathematik. Geometrische Konstruktionen, Die Algebra der Zahlk¿rper. Projektive Geometrie. Axiomatik, Nichteuklidische Geometrien. Topologie. Funktionen und Grenzwerte. Maxima und Minima. Die Infinitesimalrechung
Calculus of variations : with supplementary notes and exercises, 19451946 by
Richard Courant(
Book
)
52 editions published between 1956 and 1974 in English and held by 313 WorldCat member libraries worldwide
52 editions published between 1956 and 1974 in English and held by 313 WorldCat member libraries worldwide
Vorlesungen über differential und integralrechnung by
Richard Courant(
Book
)
57 editions published between 1927 and 1972 in 3 languages and held by 291 WorldCat member libraries worldwide
57 editions published between 1927 and 1972 in 3 languages and held by 291 WorldCat member libraries worldwide
Theory of functions of a complex variable by
Richard Courant(
Book
)
44 editions published between 1939 and 1979 in English and Italian and held by 261 WorldCat member libraries worldwide
44 editions published between 1939 and 1979 in English and Italian and held by 261 WorldCat member libraries worldwide
Che cos'è la matematica? : introduzione elementare ai suoi concetti e metodi by
Richard Courant(
Book
)
68 editions published between 1950 and 2010 in 10 languages and held by 239 WorldCat member libraries worldwide
Mathematik ist nicht jedermanns Sache. Wer sie liebt, für den ist sie spannend und aufregend wie das schönste Rätsel. Für viele Menschen aber ist Mathematik ein Buch mit sieben Siegeln, das man erfurchtsvoll den "Eingeweihten" überläßt. Das Ziel von "Was ist Mathematik?" ist es, Brücken zu schlagen und jeden einzuladen, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Der Band ist für Leser jeden Alters und jeder Vorbildung gedacht. Gymnasiallehrer finden eine reiche Auswahl an Beispielen, Studenten ist es ein Leitfaden, wenn sie die Orientierung zu verlieren meinen, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen
68 editions published between 1950 and 2010 in 10 languages and held by 239 WorldCat member libraries worldwide
Mathematik ist nicht jedermanns Sache. Wer sie liebt, für den ist sie spannend und aufregend wie das schönste Rätsel. Für viele Menschen aber ist Mathematik ein Buch mit sieben Siegeln, das man erfurchtsvoll den "Eingeweihten" überläßt. Das Ziel von "Was ist Mathematik?" ist es, Brücken zu schlagen und jeden einzuladen, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Der Band ist für Leser jeden Alters und jeder Vorbildung gedacht. Gymnasiallehrer finden eine reiche Auswahl an Beispielen, Studenten ist es ein Leitfaden, wenn sie die Orientierung zu verlieren meinen, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen
Vorlesungen über die entwicklung der mathematik im 19. jahrhundert by
Felix Klein(
Book
)
34 editions published between 1926 and 1979 in 3 languages and held by 211 WorldCat member libraries worldwide
34 editions published between 1926 and 1979 in 3 languages and held by 211 WorldCat member libraries worldwide
Anschauliche geometrie by
David Hilbert(
Book
)
2 editions published in 1932 in German and held by 153 WorldCat member libraries worldwide
2 editions published in 1932 in German and held by 153 WorldCat member libraries worldwide
Methods of mathematical physics by
Richard Courant(
Book
)
27 editions published between 1937 and 2008 in English and German and held by 109 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
27 editions published between 1937 and 2008 in English and German and held by 109 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
)
5 editions published between 1937 and 2011 in English and held by 93 WorldCat member libraries worldwide
5 editions published between 1937 and 2011 in English and held by 93 WorldCat member libraries worldwide
Differential and integral calculus by
Richard Courant(
Book
)
51 editions published between 1934 and 1988 in English and German and held by 91 WorldCat member libraries worldwide
51 editions published between 1934 and 1988 in English and German and held by 91 WorldCat member libraries worldwide
Methoden der mathematischen Physik by
Richard Courant(
Book
)
12 editions published between 1931 and 1968 in German and held by 69 WorldCat member libraries worldwide
12 editions published between 1931 and 1968 in German and held by 69 WorldCat member libraries worldwide
Methoden der mathematischen Physik by
Richard Courant(
Book
)
19 editions published between 1924 and 1993 in German and held by 68 WorldCat member libraries worldwide
19 editions published between 1924 and 1993 in German and held by 68 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Hilbert, David 18621943 Author Contributor
 Robbins, Herbert
 John, Fritz 19101994 Author of introduction
 Reid, Constance Author
 Friedrichs, K. O. (Kurt Otto) 19011983 Author Editor
 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, 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, Franck, James, 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 Pohl, Robert Wichard, Quantum theory Runge, Carl, Science Shock waves Sommerfeld, Arnold, Surfaces, Representation of United States Universität Göttingen Wigner, Eugene Paul,
Covers
Alternative Names
CourantFriedrichs 18881972
CourantHilbert 18881972
Courant R.
Courant R. 18881972
Courant, R. 18881972 (Richard)
Courant, R. (Richard), 18881972
Courant, Richard
Courant, Richard 1888
Hilbert, ... Courant 18881972
Kūran, R. 18881972
Kurant, R.
Kurant, R. 18881972
Kurant, Rihard.
Kurant, Rikard, 18881972
Kurant, Rikhard
Kurant, Rikhard 18881972
Kūranto, R. 18881972
Richard Courant deutscher Mathematiker
Richard Courant Duits wiskundige
Richard Courant German American mathematician (18881972)
Richard Courant matemático alemán
Richard Courant matematico tedesco
Richard Courant mathématicien allemand
Richard Courant německý matematik
Richard Courant tysk matematikar
Richard Courant tysk matematiker
Richardus Courant
Курант Р
Курант Р. 18881972
Курант Рихард
Рихард Курант
Ріхард Курант
Ռիխարդ Կուրանտ
קוראנט, ריכרד 18881972
קורנט, ריכרד 18881972
ריצ'רד קורנט
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