Real Analysis for the Undergraduate

With an Invitation to Functional Analysis

Matthew A. Pons

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Hardback

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English

Springer-Verlag New York Inc.
25 January 2014

Real analysis, real variables; Functional analysis & transforms

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.

By: Matthew A. Pons
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2014 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 24mm
Weight: 7.627kg
ISBN: 9781461496373
ISBN 10: 1461496373
Pages: 409
Publication Date: 25 January 2014
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

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

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

From the book reviews: This book is more than just an excellent introduction to real analysis at the undergraduate level. It also provides the basis for students to gain some experience in measure theory, Lebesgue integration, and functional analysis. ... Summing Up: Highly recommended. Upper-division undergraduates and above. (D. P. Turner, Choice, Vol. 52 (2), October, 2014) This book contains a reasonably complete exposition of real analysis theory which is needed for beginning undergraduate-level students. It includes basic material connected with this topic as well as more advanced problems. ... All the topics are presented thoroughly. The book includes nice graphic illustrations of the problems considered. (Ryszard J. Pawlak, Mathematical Reviews, September, 2014)