Skip to content
Home/ Introduction to Analysis: Theorems and Examples
Introduction to Analysis: Theorems and Examples

Introduction to Analysis: Theorems and Examples

by Katsuura, Hidefumi
No customer reviews yet ISBN 9783031679568

This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary/ternary numbers and the Cantor set. The book then moves on to continuous functions, differentiations, integrations, and uniform convergence of sequences of functions. An example of a nontrivial uniformly Cauchy sequence of functions is given. The author defines each topic, identifies important theorems, and includes many examples throughout each chapter. The book also provides introductory instruction on proof writing, with an emphasis on how to execute a precise writing style.

About the author

Product details

Pub dateOct 4, 2025
ISBN-103031679563
ISBN-139783031679568
LanguageEnglish
Last updated 2026-08-24 15:33
$52.27
In stock soon — order now to reserve your copy
Delivery by Monday, September 14, 2026
Qty
Sign in to Add to Saved list
Free delivery on orders over $35.
15-day returns. Any reason.
Secure checkout. We never store card details.

Readers who bought this also bought

More from Mathematical Analysis
See all
Mathematics: MacMillan Science Library, 4 Volume Set
<p>This full-color update of the award-winning 2002 A-Z encyclopedia explains concepts, provides a historical overview, and explores careers in the field. Written for middle school/high school students, as well as non-math-major undergraduates, <em>Mathematics</em> contains some 300 entries that cover the basics of algebra, geometry and trigonometry, with the goal of making these topics more accessible and interesting. Readers will see the uses and effects of math in daily life, while short biographies highlight notable mathematicians. Thirty percent of the content is new to this edition, highlighting advances in mathematics since 2000. <em>Mathematics</em> is illustrated with images, equations, tables, and figures, and includes sidebars.<br /><br />Both the original edition and the new were shaped by expert boards who determined the entry list and reviewed content. Each entry contains a bibliography/suggestions for further reading and crossâ references directing the users to articles of related interest.<br />
$1,251.17
Problems in Real Analysis (Revised)
Aliprantis, Charalambos D
$122.73
Principles of Real Analysis (Revised)
Aliprantis, Charalambos D
$173.55
Probability & Measure Theory
Ash, Robert B
$149.30
Working Analysis
Cooper, Jeffery
$155.07
Regression Analysis
Ping Sa
$47.60