A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been revi
Analysis II: Third Edition
β Scribed by Terence Tao (auth.)
- Publisher
- Springer Singapore
- Year
- 2016
- Tongue
- English
- Leaves
- 235
- Series
- Texts and Readings in Mathematics 38
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xvii
Metric spaces....Pages 1-27
Continuous functions on metric spaces....Pages 28-44
Uniform convergence....Pages 45-74
Power series....Pages 75-106
Fourier series....Pages 107-126
Several Variable Differential Calculus....Pages 127-161
Lebesgue measure....Pages 162-186
Lebesgue integration....Pages 187-211
Back Matter....Pages 213-220
β¦ Subjects
Analysis
π SIMILAR VOLUMES
This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The book does not strive for abstraction for its own sake,
Offering readability, practicality and flexibility, Wade presents Fundamental Theorems from a practical viewpoint. Introduces central ideas of analysis in a one-dimensional setting, then covers multidimensional theory. Offers separate coverage of topology and analysis. Numbers theorems, definition