Understanding Analysis [2e]
Book 0 of Undergraduate Texts in Mathematics
Language: English
: Bundle.Springer Free Ebook Collection.Mathematics and Statistics : Collection: Academic Mathematics Nonfiction Textbook
Publisher: Springer
Published: Jan 1, 2000
Collection:
Academic
Reading Ease:
96.45
Genre:
Textbook
Page Count:
870
Word Count:
103307
Book Details
...
Description:
This book outlines an elementary, one-semester course that exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.This new edition is extensively revised and updated with a refocused layout. In addition to the inclusion of extra exercises, the quality and focus of the exercises in this book has improved, which will help motivate the reader. New features include a discussion of infinite products, and expanded sections on metric spaces, the Baire category theorem, multi-variable functions, and the Gamma function.