Introduction to Calculus and Analysis

Richard Courant, Fritz John (Autoren)

Buch | Hardcover

XXIII, 661 Seiten

1989
Springer Berlin (Verlag)
978-3-540-97151-1 (ISBN)

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From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus(...)

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.

Summary:
Introduction.- The Fundamental Ideas of the Integral and Differential Calculus.- The Techniques of Calculus.- Applications in Physics and Geometry.- Taylor's Expansion.- Numerical Methods.- Infinite Sums and Products.- Trigonometric Series.- Differential Equations for the Simplest Types of Vibration.- List of Bibliographical Dates.- Index.

Zusatzinfo	204 figs.
Sprache	deutsch
Gewicht	1082 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis • Differenzialrechnung • HC/Mathematik/Analysis • Integralrechnung
ISBN-10	3-540-97151-3 / 3540971513
ISBN-13	978-3-540-97151-1 / 9783540971511
Zustand	Neuware