Amazing and Aesthetic Aspects of Analysis (Paperback, Softcover reprint of the original 1st ed. 2017)

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 -N and - 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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Release date:	July 2019
First published:	2017
Authors:	Paul Loya
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	722
Edition:	Softcover reprint of the original 1st ed. 2017
ISBN-13:	978-1-4939-9245-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	1-4939-9245-7
Barcode:	9781493992454

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