Foundations of Mathematical Analysis

Authors: Ponnusamy, Saminathan

  • “Questions and Exercises" are provided at the end of each section, covering a broad spectrum of content and various levels of difficulty, and hints are provided for selected exercises
  • Some of the exercises are routine in nature while others are interesting, instructive, and challenging
  • Covers a broad spectrum of content with a range of difficulty that would enable students to learn techniques and standard analysis tools
  • Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, and so on Examines various important applications throughout the book and uses MATHEMATICA and MAPLE to demonstrate various uses of the Fourier series
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  • ISBN 978-0-8176-8292-7
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  • Immediate eBook download after purchase
Hardcover $84.95
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  • ISBN 978-0-8176-8291-0
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About this Textbook

Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.

This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts.

Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.

Reviews

From the reviews:

“The book is intended for undergraduate students and beginning graduate students of mathematics. It can be used in the classroom or as a self-study guide. … The text is organized in a classical way, each section is followed by a set of questions that stimulate the reader to think about the deeper nature of definitions or the background of theorems and exercises, which vary from routine to simple proofs.” (Vladimír Janiš, Zentralblatt MATH, Vol. 1236, 2012)


Table of contents (11 chapters)

Buy this book

eBook $64.99
price for USA (gross)
  • ISBN 978-0-8176-8292-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.95
price for USA
  • ISBN 978-0-8176-8291-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Foundations of Mathematical Analysis
Authors
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8292-7
DOI
10.1007/978-0-8176-8292-7
Hardcover ISBN
978-0-8176-8291-0
Edition Number
1
Number of Pages
XV, 570
Number of Illustrations and Tables
205 b/w illustrations
Topics