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OverviewInfinite 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. Full Product DetailsAuthor: Revaz V. Gamkrelidze , Mikhail V. Fedoryuk , R. V. Gamkrelidze , David NewtonPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1989 Volume: 13 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.388kg ISBN: 9783642647864ISBN 10: 3642647863 Pages: 238 Publication Date: 18 September 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsI. Series and Integral Representations.- II. Asymptotic Methods in Analysis.- III. Integral Transforms.- Author Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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