Mathematical Analysis Fundamentals - Rilegato

Bashirov, A. E.

 
9780128010013: Mathematical Analysis Fundamentals

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780128102695: Mathematical Analysis Fundamentals

Edizione in evidenza

ISBN 10:  0128102691 ISBN 13:  9780128102695
Casa editrice: Elsevier, 2016
Brossura