WorldCat Identities

Courant, Richard 1888-1972

Overview
Works: 406 works in 2,560 publications in 11 languages and 21,370 library holdings
Genres: Biography  History 
Roles: Author, Editor, Author of introduction, Other, Honoree, Creator, Contributor
Classifications: QA401, 510
Publication Timeline
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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 )

144 editions published between 1941 and 2015 in 4 languages and held by 2,802 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
Methods of mathematical physics by Richard Courant( Book )

134 editions published between 1937 and 2009 in 3 languages and held by 1,929 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
Introduction to calculus and analysis by Richard Courant( Book )

162 editions published between 1965 and 2012 in 5 languages and held by 1,630 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
Methoden der mathematischen Physik by Richard Courant( Book )

99 editions published between 1924 and 2013 in 4 languages and held by 1,002 WorldCat member libraries worldwide

In diesem Buch, erstmals 1924 bzw. 1937 erschienen, spürt man noch wie am ersten Tag die Frische und Inspiration zweier großer Mathematiker und Lehrer. Hilbert kann man mit Fug und Recht als den letzten Mathematiker bezeichnen, der in allen Gebieten seiner Wissenschaft zu Hause war und in den verschiedensten Bereichen der Mathematik grundlegende neue Erkenntnisse gewann. Seine Resultate haben entscheidend die moderne Auffassung vom Wesen der Mathematik geprägt. Sein Schüler Courant galt und gilt auch heute noch als ein ausgezeichneter Lehrer, der auch schwierigste Materien verständlich darstellen konnte. Das bei Springer erschienene Buch von Courant/Robbins: Was ist Mathematik, kann in diesem Zusammenhang als beispielhaft genannt werden. Alles in allem eine großartige Zusammenfassung der mathematischen Hilfsmittel des Physikers, die auch heute noch viele enthusiastische Leser finden wird
Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen by Adolf Hurwitz( Book )

79 editions published between 1922 and 2010 in 4 languages and held by 768 WorldCat member libraries worldwide

With an additional article by R. Courant: Geometrische Funktionentheorie
Methods of mathematical physics by Richard Courant( Book )

86 editions published between 1937 and 2009 in 3 languages and held by 256 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
Theory of functions of a complex variable by Richard Courant( Book )

43 editions published between 1939 and 1979 in English and Italian and held by 252 WorldCat member libraries worldwide

Differential and integral calculus by Richard Courant( Book )

52 editions published between 1936 and 2011 in English and German and held by 151 WorldCat member libraries worldwide

Qué son las matemáticas? : conceptos y métodos fundamentales by Richard Courant( Book )

53 editions published between 1948 and 2011 in 8 languages and held by 124 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
Differential and integral calculus by Richard Courant( Book )

50 editions published between 1934 and 1988 in English and German and held by 90 WorldCat member libraries worldwide

Differential and integral calculus by Richard Courant( Book )

4 editions published between 1937 and 2011 in English and held by 84 WorldCat member libraries worldwide

Vorlesungen über Differential- und Integralrechnung by Richard Courant( Book )

11 editions published between 1927 and 2013 in German and held by 35 WorldCat member libraries worldwide

The calculus of variations by Richard Courant( Book )

6 editions published between 1932 and 1963 in English and held by 9 WorldCat member libraries worldwide

Hilbert-Courant by Constance Reid( Book )

2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide

Göttingen and New York--reflections on a life in mathematics--Richard Courant( Visual )

1 edition published in 1966 in English and held by 1 WorldCat member library worldwide

A survey of the career of Richard Courant, whose colleagues describe his influence and work. Includes his lecture on soap bubbles and minimal surfaces and reminiscences of the formation of the institutes ot Gẗtingen and N.Y.U. Utilizes rare old footage of the giant of the Gẗtingen days, David Hilbert and his associates
Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert by Richard Courant( )

1 edition published in 1979 in Undetermined and held by 0 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. 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 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

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
Covers
Methods of mathematical physicsIntroduction to calculus and analysisMethoden der mathematischen PhysikMethods of mathematical physicsDifferential and integral calculusQué son las matemáticas? : conceptos y métodos fundamentalesDifferential and integral calculusHilbert-Courant