Agamirza Bashirov

Mathematical Analysis Fundamentals (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 362
• Erscheinungstermin: 27. März 2014
• Englisch
• ISBN-13: 9780128010501
• Artikelnr.: 41044473