WorldCat Identities

Courant, Richard 1888-1972

Overview
Works: 356 works in 2,378 publications in 11 languages and 20,954 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
What is Mathematics? An elementary approach to ideas and methods by Richard Courant( Book )

206 editions published between 1941 and 2011 in 7 languages and held by 3,353 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 )

512 editions published between 1927 and 2011 in 7 languages and held by 3,294 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
Methods of mathematical physics by Richard Courant( Book )

146 editions published between 1930 and 2006 in English and Undetermined and held by 1,971 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
Introduction to calculus and analysis by Richard Courant( Book )

214 editions published between 1965 and 2012 in 6 languages and held by 1,861 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)
Methoden der mathematischen Physik by Richard Courant( Book )

130 editions published between 1924 and 1968 in 4 languages and held by 1,153 WorldCat member libraries worldwide

Supersonic flow and shock waves by Richard Courant( Book )

82 editions published between 1940 and 2012 in 4 languages and held by 1,108 WorldCat member libraries worldwide

Appendices and remarks after some chapters
Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen by Adolf Hurwitz( Book )

75 editions published between 1922 and 2010 in 5 languages and held by 764 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 )

54 editions published between 1950 and 2005 in 4 languages and held by 724 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
Methods of mathematical physics by Richard Courant( Book )

91 editions published between 1924 and 2009 in 3 languages and held by 315 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
Development of mathematics in the 19th century by Felix Klein( Book )

46 editions published between 1926 and 1979 in German and English and held by 232 WorldCat member libraries worldwide

Theory of functions of a complex variable by Richard Courant( Book )

32 editions published between 1948 and 1979 in 3 languages and held by 231 WorldCat member libraries worldwide

Calculus of variations : with supplementary notes and exercises, 1945-1946 by Richard Courant( Book )

32 editions published between 1953 and 1962 in English and held by 218 WorldCat member libraries worldwide

Methoden der mathematischen Physik by Richard Courant( Book )

28 editions published between 1924 and 2013 in 3 languages and held by 156 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
Geometry and the imagination by David Hilbert( Book )

2 editions published in 1932 in German and held by 148 WorldCat member libraries worldwide

Calculus of variations, and supplementary notes and exercises, 1945-1946 by Richard Courant( Book )

29 editions published between 1932 and 1974 in English and held by 109 WorldCat member libraries worldwide

Advanced methods in applied mathematics; lecture course by Richard Courant( Book )

11 editions published in 1941 in English and Undetermined and held by 107 WorldCat member libraries worldwide

Funktionen einer Veränderlichen by Richard Courant( Book )

11 editions published between 1927 and 1971 in German and English and held by 68 WorldCat member libraries worldwide

Band 1
Que es la matematica? : una exposicion elemental de sus ideas y metodos by Richard Courant( Book )

22 editions published between 1954 and 1979 in Spanish and held by 67 WorldCat member libraries worldwide

The history of the calculus and its conceptual development : (The concepts of the calculus) by Carl B Boyer( Book )

11 editions published between 1949 and 2010 in English and held by 62 WorldCat member libraries worldwide

Fluent description of the development of both the integral and differential calculus. Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today
Studies and essays : presented to R. Courant on his 60th birthday, January 8, 1948 by Richard Courant( Book )

12 editions published in 1948 in English and Undetermined and held by 61 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 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

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 (1,129)

German (494)

Spanish (49)

Italian (25)

Chinese (17)

Russian (14)

Japanese (6)

French (2)

Hungarian (2)

Romanian (1)

Danish (1)

Covers
Differential and integral calculusMethods of mathematical physicsIntroduction to calculus and analysisSupersonic flow and shock wavesDirichlet's principle, conformal mapping, and minimal surfacesMethods of mathematical physicsMethoden der mathematischen PhysikThe history of the calculus and its conceptual development : (The concepts of the calculus)