Mathematical Analysis Fundamentals (Elsevier Insights) - Hardcover

9780128010013: Mathematical Analysis Fundamentals (Elsevier Insights)
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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.



  • 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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Review:

"... 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, 2014

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  • PublisherElsevier
  • Publication date2014
  • ISBN 10 0128010010
  • ISBN 13 9780128010013
  • BindingHardcover
  • Number of pages362

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9780128102695: Mathematical Analysis Fundamentals

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ISBN 10:  ISBN 13:  9780128102695
Publisher: Elsevier, 2016
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