現代數學物理方法（第1捲） 下載 mobi epub pdf 電子書 2024

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內容簡介

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modem mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modem physics, and partial differenrial equations.

目錄

Preface
Introduction
Contents of Other Volumes
I: PRELIMINARIES
1. Sets and functions
2. Metric and normed linear spaces
Appendix Lira sup and lim inf
3. The Lebesgue integral
4. Abstract measure theory
5. Two conrergence arguments
6. Equicontinuity
Notes
Problems

II: HILBERT SPACES
1. The geometry of Hilbert space
2. The Riesz lemma
3. Orthonormal bases
4. Tensor products of Hilbert spaces
5. Ergodic theory: an introduction
Notes
Problems

III: BANACH SPACES
1. Definition and examples
2. Duals and double duals
3. The Hahn-Banach theorem
4. Operations on Banach spaces
5. The Baire category theorem and its consequences
Notes
Problems
IV: TOPOLOGICAL SPACES
1. General notions
2. Nets and Convergence
3. Compactness
Appendix The Stone-Weierstrass theorem
4. Measure theory on Compact spaces
5. Weak topologies on Banach spaces
Appendix Weak and strong measurability
Notes
Problems


V: LOCALLY ONVEX SPACES
1. General properties
2. Frdchet spaces
3. Functions of rapid decease and the tempered distributions
Appendix The N-representation for and
4. Inductive limits: generalized functions and weak solutions of partial differential equations
5. Fixed point theorems
6. Applications of fixed point theorems
7. Topologies on locally convex spaces: duality theory and the strong dual topology
Appendix Polars and the Mackey-Arens theorem
Notes
Problems
VI: BOUNDED OPERATORS
VII: THE SPECTRAL THEOREM
VIII: UNBOUNDED OPERATORS
THE FOURIER TRANSFORM
SUPPLEMENTARY MATERIAL
List of Symbols

前言/序言

現代數學物理方法（第1捲） 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

非常好的書，快遞給力

評分☆☆☆☆☆

作為國外的一本知名教材，該書是物理專業老師應該擁有的一本專業類書籍。

評分☆☆☆☆☆

幫朋友買的，朋友說書還不錯

評分☆☆☆☆☆

講解清晰，內容專業，理論係統，值得推薦！

評分☆☆☆☆☆

nicess

評分☆☆☆☆☆

還可以的啊還可以的啊

評分☆☆☆☆☆

物理用泛函，這個形容差不多吧，個人看法，勿撕。

評分☆☆☆☆☆

先買瞭兩本，希望下次摺的力度大些

評分☆☆☆☆☆

很經典的一本教材，好好學一下

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