Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals

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Description

The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.
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Product details

  • Paperback | 362 pages
  • 152 x 229 x 19.05mm | 490g
  • United States
  • English
  • 0128102691
  • 9780128102695

Table of contents

Sets and Proofs
Numbers
Convergence
Point Set Topology
Continuity
The Space
Differentiation
Bounded Variation
Reimann Integration
Generalizations of Reimann Integration
Transcendental Functions
Fourier Series and Integers
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Review quote

"... the book does have numerous good exercises that test the student's grasp and cover some advanced topics, and it does give thorough coverage of much of classical analysis..."--MAA Reviews, December 29, 2014
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