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Analysis I : Integral Representation and Asymptotic Methods, Vol. 13
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Item specifics
- Condition
- ISBN
- 9783642647864
About this product
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642647863
ISBN-13
9783642647864
eBay Product ID (ePID)
143908840
Product Key Features
Number of Pages
VII, 238 Pages
Publication Name
Analysis I : Integral Representations and Asymptotic Methods
Language
English
Subject
Intelligence (Ai) & Semantics, Numerical Analysis, Chemistry / Physical & Theoretical, Calculus, Transformations, Mathematical Analysis
Publication Year
2011
Type
Textbook
Subject Area
Mathematics, Computers, Science
Series
Encyclopaedia of Mathematical Sciences Ser.
Format
Trade Paperback
Dimensions
Item Height
0.2 in
Item Weight
13.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Series Volume Number
13
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
I. Series and Integral Representations.- II. Asymptotic Methods in Analysis.- III. Integral Transforms.- Author Index.
Synopsis
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., 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 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 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., 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.
LC Classification Number
QA299.6-433
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