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portada Mathematical Analysis Fundamentals
Type
Physical Book
Publisher
Author
Year
2016
Language
English
Pages
362
Format
Paperback
ISBN13
9780128102695
Edition No.
1
Categories

Mathematical Analysis Fundamentals

Agamirza Bashirov (Author) · Elsevier · Paperback

Mathematical Analysis Fundamentals - Agamirza Bashirov

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Synopsis "Mathematical Analysis Fundamentals "

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 numbersDeeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spacesPresentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integrationElements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus

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