Encyclopaedia of Mathematical Sciences

Analysis I

Integral Representations and Asymptotic Methods

Editors: Gamkrelidze, R.V. (Ed.)

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About this book

Infinite series, and their analogues-integral representations, became funda­ mental tools in mathematical analysis, starting in the second half of the seven­ teenth century. They have provided the means for introducing into analysis all o( the so-called transcendental functions, including those which are now called elementary (the logarithm, exponential and trigonometric functions). With their help the solutions of many differential equations, both ordinary and partial, have been found. In fact the whole development of mathematical analysis from Newton up to the end of the nineteenth century was in the closest way connected with the development of the apparatus of series and integral representations. Moreover, many abstract divisions of mathematics (for example, functional analysis) arose and were developed in order to study series. In the development of the theory of series two basic directions can be singled out. One is the justification of operations with infmite series, the other is the creation oftechniques for using series in the solution of mathematical and applied problems. Both directions have developed in parallel Initially progress in the first direction was significantly smaller, but, in the end, progress in the second direction has always turned out to be of greater difficulty.

Table of contents (2 chapter)

  • Asymptotic Methods in Analysis

    M. V. Fedoryuk

    Pages 83-191

    Buy Chapter $29.95
  • Integral Transforms

    M. V. Fedoryuk

    Pages 193-232

    Buy Chapter $29.95
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Buy this book

eBook $99.00 net
( price for USA )
  • ISBN 978-3-642-61310-4
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $129.00 net
( price for USA )
  • ISBN 978-3-642-64786-4
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Analysis I
Book Subtitle
Integral Representations and Asymptotic Methods
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
13
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61310-4
DOI
10.1007/978-3-642-61310-4
Softcover ISBN
978-3-642-64786-4
Series ISSN
0938-0396
Edition Number
1
Topics