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 I: Third Edition
β Scribed by Terence Tao (auth.)
- Publisher
- Springer Singapore
- Year
- 2016
- Tongue
- English
- Leaves
- 366
- Series
- Texts and Readings in Mathematics 37
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xix
Introduction....Pages 1-12
Starting at the beginning: The natural numbers....Pages 13-32
Set theory....Pages 33-73
Integers and Rationals....Pages 74-93
The real numbers....Pages 94-125
Limits of sequences....Pages 126-154
Series....Pages 155-180
Infinite sets....Pages 181-210
Continuous functions on R....Pages 211-250
Differentiation of functions....Pages 251-266
The Riemann integral....Pages 267-304
Back Matter....Pages 305-350
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