Mathematical Analysis Fundamentals

Paperback | August 19, 2016

byAgamirza Bashirov

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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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From the Publisher

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 se...

From the Jacket

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...

Format:PaperbackDimensions:362 pages, 8.75 × 6.35 × 0.68 inPublished:August 19, 2016Publisher:Elsevier Science & TechLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128102691

ISBN - 13:9780128102695

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Extra Content

Table of Contents

  1. Sets and Proofs
  2. Numbers
  3. Convergence
  4. Point Set Topology
  5. Continuity
  6. The Space
  7. Differentiation
  8. Bounded Variation
  9. Reimann Integration
  10. Generalizations of Reimann Integration
  11. Transcendental Functions
  12. Fourier Series and Integers