Amazing and Aesthetic Aspects of Analysis (Undergraduate Texts In Mathematics )
By:
- Synopsis
-
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 xce; xb5;-N and xce; xb5;- xce; xb4; definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulae for the various elementary functions and constants.
Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
- Copyright:
- 2017
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781493967957
- Publisher:
- Springer New York
- Date of Addition:
- 05/14/18
- Copyrighted By:
- Springer New York
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Textbooks, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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- by Paul Loya
- in Nonfiction
- in Textbooks
- in Mathematics and Statistics