Mathematical Analysis Fundamentals

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Mathematical Analysis Fundamentals by Agamirza Bashirov, Elsevier Science
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Author: Agamirza Bashirov ISBN: 9780128010501
Publisher: Elsevier Science Publication: March 27, 2014
Imprint: Elsevier Language: English
Author: Agamirza Bashirov
ISBN: 9780128010501
Publisher: Elsevier Science
Publication: March 27, 2014
Imprint: Elsevier
Language: English

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.

  • Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers
  • Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces
  • Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration
  • Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus
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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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