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Mathematical analysis and its inherent nature

Author: Hossein Hosseini Giv
Publisher: Providence, Rhode Island : American Mathematical Society, [2016]
Series: Sally series (Providence, R.I.); Pure and applied undergraduate texts, 25.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of analysis, the text is divided into two parts based on the way they are related to calculus: completion and abstraction. The  Read more...
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Hosseini Giv, Hossein, 1983-
Mathematical analysis and its inherent nature.
Providence, Rhode Island : American Mathematical Society, [2016]
(DLC) 2016018812
(OCoLC)950004264
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hossein Hosseini Giv
ISBN: 9781470434946 1470434946
OCLC Number: 1002123580
Description: 1 online resource (xxi, 348 pages ): illustrations.
Contents: Rebuilding the calculus building --
The real number system revisited --
Sequences and series of real numbers --
Limit and continuity of real functions --
Derivative and differentiation --
The Riemann integral --
Abstraction and generalization --
Basic theory of metric spaces --
Sequences in general metric spaces --
Limit and continuity of functions in metric spaces --
Sequences and series of functions --
Appendix --
Real sequences and series --
Limit and continuity of functions --
The concepts of derivative and differentiability --
The Riemann integral.
Series Title: Sally series (Providence, R.I.); Pure and applied undergraduate texts, 25.
Responsibility: Hossein Hosseini Giv.

Abstract:

Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical  Read more...

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