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Multiple Integrals

  • Book
  • © 1966

Overview

Authors:
  1. Walter Ledermann
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Part of the book series: Library of Mathematics (LIMA)

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Table of contents (4 chapters)

  1. Front Matter

    Pages N2-vi
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  2. Line Integrals

    • Walter Ledermann
    Pages 1-21

  3. Double Integrals

    • Walter Ledermann
    Pages 22-67

  4. Surface Integrals

    • Walter Ledermann
    Pages 68-79

  5. Volume Integrals

    • Walter Ledermann
    Pages 80-98

  6. Back Matter

    Pages 99-107
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Keywords

About this book

The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a curve, a plane region, a surface and a solid are introduced in tum, and methods for evaluating these integrals are presented in detail. Especial reference is made to the results required in Physics and other mathematical sciences, in which multiple integrals are an indispensable tool. A full theoretical discussion of this topic would involve deep problems of analysis and topology, which are outside the scope of this volume, and concessions had to be made in respect of completeness without, it is hoped, impairing precision and a reasonable standard of rigour. As in the author's Integral Calculus (in this series), the main existence theorems are first explained informally and then stated exactly, but not proved. Topological difficulties are circumvented by imposing some­ what stringent, though no unrealistic, restrictions on the regions of integration. Numerous examples are worked out in the text, and each chapter is followed by a set of exercises. My thanks are due to my colleague Dr. S. Swierczkowski, who read the manuscript and made valuable suggestions. w. LEDERMANN The University of Sussex, Brighton.

Bibliographic Information

  • Book Title: Multiple Integrals

  • Authors: Walter Ledermann

  • Series Title: Library of Mathematics

  • DOI: https://doi.org/10.1007/978-94-011-6091-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Walter Ledermann 1966

  • Softcover ISBN: 978-0-7100-4358-0Published: 31 March 1966

  • eBook ISBN: 978-94-011-6091-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VI, 107

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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