Real Analysis for the Undergraduate: With an Invitation to Functional Analysis - Hardcover

Pons, Matthew A.

 
9781461496373: Real Analysis for the Undergraduate: With an Invitation to Functional Analysis
Hardcover
ISBN 10: 1461496373 ISBN 13: 9781461496373
Publisher: Springer, 2014

Synopsis

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.

"synopsis" may belong to another edition of this title.

About the Author

Matthew A. Pons is Associate Professor of Mathematics at North Central College.

From the Back Cover

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2014
Language
English
ISBN 10 
1461496373
ISBN 13 
9781461496373
Binding
Hardcover
Number of pages
427

Other Popular Editions of the Same Title

9781493946495: Real Analysis for the Undergraduate: With an Invitation to Functional Analysis

Featured Edition

ISBN 10:  1493946498 ISBN 13:  9781493946495
Publisher: Springer, 2016
Softcover