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Amazing and Aesthetic Aspects of Analysis
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Amazing and Aesthetic Aspects of Analysis

1st ed. 2017

Book Details

Format Hardback or Cased Book
ISBN-10 1493967932
ISBN-13 9781493967933
Edition 1st ed. 2017
Publisher Springer-Verlag New York Inc.
Imprint Springer-Verlag New York Inc.
Country of Manufacture US
Country of Publication GB
Publication Date May 28th, 2018
Print length 722 Pages
Weight 1,292 grams
Dimensions 16.50 x 24.50 x 4.80 cms
Ksh 12,600.00
Werezi Extended Catalogue 0 in stock

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Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter:the interconnections between set theory and mathematical statements and proofs;the fundamental axioms of the natural, integer, and real numbers;rigorous e-N and e-d definitions;convergence and properties of an infinite series, product, or continued fraction;series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. 

In studying this book, students will encounter:
  • the interconnections between set theory and mathematical statements and proofs;
  • the fundamental axioms of the natural, integer, and real numbers;
  • rigorous ε-N and ε-δ definitions;
  • convergence and properties of an infinite series, product, or continued fraction;
  • series, product, and continued fraction formulæ for the various elementary functions and constants.
Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

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