
Analysis I
Integral Representations and Asymptotic Methods
Revaz V. Gamkrelidze(Editor)
Springer (Publisher)
Published on 18. September 2011
Book
Paperback/Softback
VII, 238 pages
978-3-642-64786-4 (ISBN)
Description
Infinite series, and their analogues-integral representations, became fundamental tools in mathematical analysis, starting in the second half of the seventeenth 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 isthe creation of techniques 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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1989
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VII, 238 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
388 gr
ISBN-13
978-3-642-64786-4 (9783642647864)
DOI
10.1007/978-3-642-61310-4
Schweitzer Classification
Other editions
Additional editions
Book
09/1989
Springer
€85.55
Article exhausted; check different version
Content
I. Series and Integral Representations.- II. Asymptotic Methods in Analysis.- III. Integral Transforms.- Author Index.