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Analysis I
Integral Representations and Asymptotic Methods
Taschenbuch von Revaz V. Gamkrelidze
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
I. Series and Integral Representations.- II. Asymptotic Methods in Analysis.- III. Integral Transforms.- Author Index.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: vii
238 S.
ISBN-13: 9783642647864
ISBN-10: 3642647863
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Gamkrelidze, Revaz V.
Herausgeber: Revaz V Gamkrelidze
Auflage: Softcover reprint of the original 1st ed. 1989
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 235 x 155 x 14 mm
Von/Mit: Revaz V. Gamkrelidze
Erscheinungsdatum: 18.09.2011
Gewicht: 0,388 kg
preigu-id: 106331313
Inhaltsverzeichnis
I. Series and Integral Representations.- II. Asymptotic Methods in Analysis.- III. Integral Transforms.- Author Index.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: vii
238 S.
ISBN-13: 9783642647864
ISBN-10: 3642647863
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Gamkrelidze, Revaz V.
Herausgeber: Revaz V Gamkrelidze
Auflage: Softcover reprint of the original 1st ed. 1989
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 235 x 155 x 14 mm
Von/Mit: Revaz V. Gamkrelidze
Erscheinungsdatum: 18.09.2011
Gewicht: 0,388 kg
preigu-id: 106331313
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