Mathematical Analysis Fundamentals
eBook - ePub

Mathematical Analysis Fundamentals

  1. 362 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Analysis Fundamentals

About this book

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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Yes, you can access Mathematical Analysis Fundamentals by Agamirza Bashirov in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface
  7. Chapter 1. Sets and Proofs
  8. Chapter 2. Numbers
  9. Chapter 3. Convergence
  10. Chapter 4. Point Set Topology
  11. Chapter 5. Continuity
  12. Chapter 6. Space C(E,E')
  13. Chapter 7. Differentiation
  14. Chapter 8. Bounded Variation
  15. Chapter 9. Riemann Integration
  16. Chapter 10. Generalizations of Riemann Integration
  17. Chapter 11. Transcendental Functions
  18. Chapter 12. Fourier Series and Integrals
  19. Bibliography