Introduction to Calculus and Analysis

Volume II/1

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Last edited by Tom Morris
December 29, 2022 | History

Introduction to Calculus and Analysis

Volume II/1

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Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was half-Jewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMO-functions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)

Publish Date
Publisher
Springer
Language
English
Pages
558

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Cover of: Introduction to Calculus and Analysis II/1
Introduction to Calculus and Analysis II/1
Oct 06, 2011, Springer
paperback
Cover of: Introduction to Calculus and Analysis
Introduction to Calculus and Analysis: Volume II/1
2000, Springer
electronic resource / in English
Cover of: Introduction to Calculus and Analysis Volume II/1
Introduction to Calculus and Analysis Volume II/1
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Book Details


Published in

Berlin, Heidelberg

Table of Contents

From the contents: Functions of Several Variables and Their Derivatives: Points and Points Sets in the Plane and in Space; Functions of Several Independent Variables; Continuity; The Partial Derivatives of a Function; The Differential of a Function and Its Geometrical Meaning...
Vectors, Matrices, Linear Transformations: Operations with Vectors; Matrices and Linear Transformations; Determinants; Geometrical Interpretation of Determinants; Vector Notions in Analysis
Developments and Applications of the Differential Calculus: Implicit Functions; Curves and Surfaces in Implicit Form; Systems of Functions, Transformations, and Mappings; Applications; ...
Multiple Integrals: Areas in the Plane; Double Integrals; Integrals over Regions in three and more Dimensions; Space Differentiation. Mass and Density; Reduction of the Multiple Integral to Repeated Single Integrals; Transformation of Multiple Integrals; Improper Multiple Integrals; Geometrical Applications; Physical Applications; ... .-.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Series
Classics in Mathematics

Classifications

Dewey Decimal Class
515
Library of Congress
QA299.6-433

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xvi, 558p. 81 illus.)
Number of pages
558

ID Numbers

Open Library
OL27046759M
Internet Archive
introductiontoca00cour_576
ISBN 10
3540665692
ISBN 13
9783540665694
OCLC/WorldCat
851727759

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December 29, 2022 Edited by Tom Morris merge authors
September 18, 2020 Created by ImportBot import new book