Introduction to the Theory of Distributions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Friedlander, F. G./ Joshi, M. S. 作者

譯者

1999-1 出版日期

188 頁數

$ 59.89 價格

叢書系列

9780521649711 圖書編碼

Introduction to the Theory of Distributions 在線電子書圖書標籤: 廣義函數 Mathematics Math 2020 148廣義函數 140分析 100數學

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發表於2024-11-26

Introduction to the Theory of Distributions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Introduction to the Theory of Distributions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Introduction to the Theory of Distributions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Introduction to the Theory of Distributions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Introduction to the Theory of Distributions 在線電子書圖書描述

The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced, which allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account should therefore be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.

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