WorldCat Identities

Courant, Richard 1888-1972

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
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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
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 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 )

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 well-illustrated, well-motivated and very well-provided 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
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
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
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
Calculus of variations : with supplementary notes and exercises, 1945-1946 by Richard Courant( Book )

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

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

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

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

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

Geometry and the imagination by David Hilbert( Book )

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

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

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
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
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

 
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What is Mathematics? An elementary approach to ideas and methods
Alternative Names
Courant-Friedrichs 1888-1972

Courant-Hilbert 1888-1972

Courant, R.

Courant R. 1888-1972

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, Rikhard 1888-1972

Kūranto, R. 1888-1972

Richard Courant deutscher Mathematiker

Richard Courant Duits wiskundige

Richard Courant German American mathematician (1888-1972)

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. 1888-1972

Рихард Курант

Ріхард Курант

Ռիխարդ Կուրանտ

קוראנט, ריכרד 1888-1972

קורנט, ריכרד 1888-1972

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)

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?Methods of mathematical physicsMethods of mathematical physics