WorldCat Identities

Courant, Richard 1888-1972

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
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Most widely held works about Richard Courant
 
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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
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 Four-Color 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
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 higher-order 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
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
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
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
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
Calculus of variations : with supplementary notes and exercises, 1945-1946 by Richard Courant( Book )

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

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

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
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

Anschauliche geometrie by David Hilbert( Book )

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
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

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

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

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

 
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Audience level: 0.53 (from 0.24 for Mathematic ... to 0.90 for Methoden d ...)

What is Mathematics? An elementary approach to ideas and methods
Covers
What is Mathematics? An elementary approach to ideas and methodsDifferential and integral calculusIntroduction to calculus and analysisSupersonic flow and shock wavesDirichlet's principle, conformal mapping, and minimal surfacesWas ist Mathematik?Che cos'è la matematica? : introduzione elementare ai suoi concetti e metodiMethods of mathematical physics
Alternative Names
Courant-Friedrichs 1888-1972

Courant-Hilbert 1888-1972

Courant R.

Courant R. 1888-1972

Courant, R. 1888-1972 (Richard)

Courant, R. (Richard), 1888-1972

Courant, Richard

Courant, Richard 1888-

Hilbert, ... Courant- 1888-1972

Kūran, R. 1888-1972

Kurant, R.

Kurant, R. 1888-1972

Kurant, Rihard.

Kurant, Rikard, 1888-1972

Kurant, Rikhard

Kurant, Rikhard 1888-1972

Kūranto, R. 1888-1972

Richard Courant deutscher Mathematiker

Richard Courant Duits wiskundige

Richard Courant German American mathematician (1888-1972)

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. 1888-1972

Курант Рихард

Рихард Курант

Ріхард Курант

Ռիխարդ Կուրանտ

קוראנט, ריכרד 1888-1972

קורנט, ריכרד 1888-1972

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
English (1,192)

German (475)

Spanish (65)

Italian (28)

Chinese (15)

Japanese (11)

Polish (7)

Russian (4)

Hungarian (2)

Romanian (1)