Courant, Richard 18881972
Overview
Works:  402 works in 2,294 publications in 12 languages and 20,498 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Author of introduction, Creator, Other, 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 )
 Studies and essays presented to R. Courant on his 60th birthday, Jan. 8, 1948( Book )
 Courant in Gottingen and New York( Visual )
 The Courant  Friedrichs  Lewy (CFL) condition : 80 years after its discovery by Carlos A. de Moura( Book )
 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 )
 Abraham Flexner papers by Abraham Flexner( )
 Oral history interview with Friedrich Hund by Friedrich Hund( )
 Oral history interview with Edward Creutz by E Creutz( )
 Oral history joint interview with James Franck and Hertha SponerFranck by James Franck( )
 Papers, 18821966 by James Franck( )
 Courant, Richard : 84( )
 Courant, Richard( )
 Oral history interview with Martin Schwarzschild by Martin Schwarzschild( )
 by Edward Uhler Condon( )
 Oral history interview with Richard Courant by Richard Courant( )
 Reid, William T., Papers by William T Reid( )
 by Niels Bohr( )
more
fewer
Most widely held works by
Richard Courant
Methods of mathematical physics by
Richard Courant(
Book
)
331 editions published between 1924 and 2013 in 5 languages and held by 3,306 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1924, this book has remained a classic in its field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing t
331 editions published between 1924 and 2013 in 5 languages and held by 3,306 WorldCat member libraries worldwide
Since the first volume of this work came out in Germany in 1924, this book has remained a classic in its field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing t
What is Mathematics? An elementary approach to ideas and methods by
Richard Courant(
Book
)
127 editions published between 1941 and 1996 in 3 languages and held by 2,806 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
127 editions published between 1941 and 1996 in 3 languages and held by 2,806 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
)
383 editions published between 1927 and 2011 in 6 languages and held by 2,670 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
383 editions published between 1927 and 2011 in 6 languages and held by 2,670 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
)
163 editions published between 1965 and 2012 in 6 languages and held by 1,725 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)
163 editions published between 1965 and 2012 in 6 languages and held by 1,725 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
)
78 editions published between 1940 and 2006 in 4 languages and held by 1,096 WorldCat member libraries worldwide
Appendices and remarks after some chapters
78 editions published between 1940 and 2006 in 4 languages and held by 1,096 WorldCat member libraries worldwide
Appendices and remarks after some chapters
Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen by
Adolf Hurwitz(
Book
)
76 editions published between 1922 and 2010 in 5 languages and held by 767 WorldCat member libraries worldwide
With an additional article by R. Courant: Geometrische Funktionentheorie
76 editions published between 1922 and 2010 in 5 languages and held by 767 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
)
55 editions published between 1950 and 2011 in 4 languages and held by 725 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
55 editions published between 1950 and 2011 in 4 languages and held by 725 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
)
86 editions published between 1946 and 2011 in 8 languages and held by 524 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 ehrfurchtsvoll den "Eingeweihten" überlät. 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. Die Autoren verschweigen nicht, da Mathematik neben Begabung auch viel Flei und Mitdenken erfordert: man sollte sich mit ihr beschäftigen, nicht nur über sie philosophieren. Wer aber bereit ist, beides einzusetzen, den führen die Autoren mit groem Geschick und anschaulichen Hilfsmitteln hin zu einem Einblick in das innere Gefüge der Mathematik sowie ihrer historischen Entwicklung. Behandelt werden die Fragenkomplexe: Zahlen, geometrische Konstruktionen, Algebra der Zahlkörper, projektive Geometrie, Axiomatik, nichteuklidische Geometrien, Topologie, Funktionen, Grenzwerte, Extrema und Infinitesimalrechnung. "Was ist Mathematik?" 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
86 editions published between 1946 and 2011 in 8 languages and held by 524 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 ehrfurchtsvoll den "Eingeweihten" überlät. 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. Die Autoren verschweigen nicht, da Mathematik neben Begabung auch viel Flei und Mitdenken erfordert: man sollte sich mit ihr beschäftigen, nicht nur über sie philosophieren. Wer aber bereit ist, beides einzusetzen, den führen die Autoren mit groem Geschick und anschaulichen Hilfsmitteln hin zu einem Einblick in das innere Gefüge der Mathematik sowie ihrer historischen Entwicklung. Behandelt werden die Fragenkomplexe: Zahlen, geometrische Konstruktionen, Algebra der Zahlkörper, projektive Geometrie, Axiomatik, nichteuklidische Geometrien, Topologie, Funktionen, Grenzwerte, Extrema und Infinitesimalrechnung. "Was ist Mathematik?" 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
Calculus of variations : with supplementary notes and exercises, 19451946 by
Richard Courant(
Book
)
48 editions published between 1953 and 1974 in English and held by 313 WorldCat member libraries worldwide
48 editions published between 1953 and 1974 in English and held by 313 WorldCat member libraries worldwide
Vorlesungen über Differential und Integralrechnung by
Richard Courant(
Book
)
34 editions published between 1927 and 1971 in German and held by 263 WorldCat member libraries worldwide
34 editions published between 1927 and 1971 in German and held by 263 WorldCat member libraries worldwide
Methods of mathematical physics by
Richard Courant(
Book
)
62 editions published between 1937 and 2009 in English and Undetermined and held by 262 WorldCat member libraries worldwide
62 editions published between 1937 and 2009 in English and Undetermined and held by 262 WorldCat member libraries worldwide
Vorlesungen über Differential und Integralrechnung by
Richard Courant(
Book
)
28 editions published between 1929 and 1972 in German and held by 231 WorldCat member libraries worldwide
28 editions published between 1929 and 1972 in German and held by 231 WorldCat member libraries worldwide
Theory of functions of a complex variable by
Richard Courant(
Book
)
29 editions published between 1948 and 1979 in 3 languages and held by 211 WorldCat member libraries worldwide
29 editions published between 1948 and 1979 in 3 languages and held by 211 WorldCat member libraries worldwide
Vorlesungen über die entwicklung der mathematik im 19. jahrhundert by
Felix Klein(
Book
)
29 editions published between 1926 and 1989 in 3 languages and held by 203 WorldCat member libraries worldwide
29 editions published between 1926 and 1989 in 3 languages and held by 203 WorldCat member libraries worldwide
Geometry and the imagination by
David Hilbert(
Book
)
2 editions published in 1932 in German and held by 148 WorldCat member libraries worldwide
2 editions published in 1932 in German and held by 148 WorldCat member libraries worldwide
Advanced methods in applied mathematics; lecture course by
Richard Courant(
Book
)
10 editions published in 1941 in English and Undetermined and held by 104 WorldCat member libraries worldwide
10 editions published in 1941 in English and Undetermined and held by 104 WorldCat member libraries worldwide
Che cos'è la matematica? : introduzione elementare ai suoi concetti e metodi by
Richard Courant(
Book
)
21 editions published between 1950 and 2009 in Italian and held by 94 WorldCat member libraries worldwide
21 editions published between 1950 and 2009 in Italian and held by 94 WorldCat member libraries worldwide
Funktionen mehrerer Veränderlicher by
Richard Courant(
Book
)
11 editions published between 1929 and 1972 in German and held by 65 WorldCat member libraries worldwide
Band 2
11 editions published between 1929 and 1972 in German and held by 65 WorldCat member libraries worldwide
Band 2
Funktionen einer Veränderlichen by
Richard Courant(
Book
)
11 editions published between 1927 and 1971 in German and held by 59 WorldCat member libraries worldwide
Band 1
11 editions published between 1927 and 1971 in German and held by 59 WorldCat member libraries worldwide
Band 1
Methods of mathematical physics by
Richard Courant(
Book
)
16 editions published between 1962 and 2009 in English and Undetermined and held by 35 WorldCat member libraries worldwide
16 editions published between 1962 and 2009 in English and Undetermined and held by 35 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
 Reid, Constance Author
 McShane, E. J. (Edward James) 1904 Translator Author
 Friedrichs, K. O. (Kurt Otto) 19011983 Author
 Stewart, Ian 1945 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, 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 Gas dynamics Geometry Geometry, NonEuclidean Heisenberg, Werner, Hilbert, David, Information theory Integral domains Lewy, Hans, Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Mechanics Minimal surfaces Nonlinear theories Nuclear physics Numerical analysis Plateau's problem Quantum theory Science Shock waves Sommerfeld, Arnold, Surfaces, Representation of Teller, Edward, Topology United States Universität Göttingen
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 18881972
Kūranto, R. 18881972
Richard Courant deutscher Mathematiker
Richard Courant Duits wiskundige
Richard Courant German American mathematician (18881972)
Richard Courant matemtico alemn
Richard Courant matematico tedesco
Richard Courant mathmaticien 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
(1,015)
German (441)
Spanish (40)
Japanese (27)
Italian (25)
Russian (22)
Chinese (15)
Polish (7)
French (2)
Hungarian (2)
Danish (1)
Romanian (1)
German (441)
Spanish (40)
Japanese (27)
Italian (25)
Russian (22)
Chinese (15)
Polish (7)
French (2)
Hungarian (2)
Danish (1)
Romanian (1)
Covers