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Introduction To Calculus & Analysis Volume 1

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Synopses & Reviews

Publisher Comments:

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.

About the Author

The mathematical Gazette (75.1991.471): "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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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. (...)"

Table of Contents

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.

Product Details

ISBN:
9783540650584
Author:
Courant, Richard
Publisher:
Springer
Author:
John, Fritz
Location:
Berlin
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Fourier series
Subject:
Numerical methods
Subject:
Real analysis
Subject:
Functional Analysis
Subject:
Real functions
Subject:
Special functions
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
1
Edition Description:
Reprint of the 1st ed. Berlin Heidelberg New York 1989
Series:
Classics in Mathematics
Publication Date:
December 1998
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
684
Dimensions:
235 x 155 mm 957 gr

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Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis

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