Undergraduate Texts in Mathematics

Amazing and Aesthetic Aspects of Analysis

Authors: Loya, Paul

  • ​​​​Contains enthusiastic prose and exciting and imaginative exercises that will motivate the reader
  • Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and flourishes
  • Motivates the material with historical remarks and well-chosen quotes
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Buy this book

eBook $54.99
price for USA (gross)
valid through November 5, 2017
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 14, 2017
  • ISBN 978-1-4939-6795-7
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $69.99
price for USA
valid through November 5, 2017
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 14, 2017
  • ISBN 978-1-4939-6793-3
  • Free shipping for individuals worldwide
About this Textbook

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.

About the authors

Paul Loya is a professor of mathematics at Binghamton University.

Video

Buy this book

eBook $54.99
price for USA (gross)
valid through November 5, 2017
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 14, 2017
  • ISBN 978-1-4939-6795-7
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $69.99
price for USA
valid through November 5, 2017
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 14, 2017
  • ISBN 978-1-4939-6793-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Amazing and Aesthetic Aspects of Analysis
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2017
Publisher
Springer-Verlag New York
Copyright Holder
Paul Loya
eBook ISBN
978-1-4939-6795-7
DOI
10.1007/978-1-4939-6795-7
Hardcover ISBN
978-1-4939-6793-3
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XXI, 722
Number of Illustrations and Tables
122 b/w illustrations
Topics