Real Analysis for the Undergraduate

Real Analysis for the Undergraduate
Author: Matthew A. Pons
Publisher: Springer Science & Business Media
Total Pages: 423
Release: 2014-01-25
Genre: Mathematics
ISBN: 1461496381


Download Real Analysis for the Undergraduate Book in PDF, Epub and Kindle

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.


Real Analysis for the Undergraduate
Language: en
Pages: 423
Authors: Matthew A. Pons
Categories: Mathematics
Type: BOOK - Published: 2014-01-25 - Publisher: Springer Science & Business Media

GET EBOOK

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Le
Intermediate Real Analysis
Language: en
Pages: 783
Authors: E. Fischer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank. The publication of another such book
Real Analysis via Sequences and Series
Language: en
Pages: 483
Authors: Charles H.C. Little
Categories: Mathematics
Type: BOOK - Published: 2015-05-28 - Publisher: Springer

GET EBOOK

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the
Basic Elements of Real Analysis
Language: en
Pages: 284
Authors: Murray H. Protter
Categories: Mathematics
Type: BOOK - Published: 2006-03-29 - Publisher: Springer Science & Business Media

GET EBOOK

From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis.
Real Analysis
Language: en
Pages: 280
Authors: John M. Howie
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates.