Amazing and Aesthetic Aspects of Analysis

by Paul Loya

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

Genres: Mathematics

737 pages, Hardcover

Published May 28, 2018

Reviews

[Mark Moon · Rating 5 out of 5]

This book lives up to its title! It's a cornucopia of fun undergraduate-level things you can do with analysis, without ever introducing differentiation or integration. The main highlight is a grand total of 9 different proofs that the sum of 1/n^2 over all positive integers n is pi^2 / 6.