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＜電子ブック＞
Analysis I : Integral Representations and Asymptotic Methods / edited by Revaz V. Gamkrelidze
(Encyclopaedia of Mathematical Sciences ; 13)

版	1st ed. 1989.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1989
本文言語	英語
大きさ	VII, 238 p : online resource
冊子体	Integral representations and asymptotic methods / R.V. Gamkrelidze (ed.) ; : gw,: us
著者標目	Gamkrelidze, Revaz V editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Chemometrics LCSH:Computational intelligence LCSH:Mathematical physics FREE:Analysis FREE:Mathematical Applications in Chemistry FREE:Computational Intelligence FREE:Theoretical, Mathematical and Computational Physics
一般注記	I. Series and Integral Representations -- II. Asymptotic Methods in Analysis -- III. Integral Transforms -- Author Index 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-642-61310-4

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