Authors:
- 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
- Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Indian Institue of Technology Madras, Chennai, India
S. Ponnusamy
Bibliographic Information
Book Title: Foundations of Mathematical Analysis
Authors: S. Ponnusamy
DOI: https://doi.org/10.1007/978-0-8176-8292-7
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-0-8176-8291-0Published: 16 December 2011
eBook ISBN: 978-0-8176-8292-7Published: 17 December 2011
Edition Number: 1
Number of Pages: XV, 570
Number of Illustrations: 205 b/w illustrations
Topics: Analysis, Applications of Mathematics, Approximations and Expansions, Fourier Analysis