Amazing and Aesthetic Aspects of Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Amazing and Aesthetic Aspects of Analysis by Paul Loya, Springer New York
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Author: Paul Loya ISBN: 9781493967957
Publisher: Springer New York Publication: May 11, 2018
Imprint: Springer Language: English
Author: Paul Loya
ISBN: 9781493967957
Publisher: Springer New York
Publication: May 11, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

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