9780763779474-0763779474-Elements of Real Analysis (International Series in Mathematics)

Elements of Real Analysis (International Series in Mathematics)

ISBN-13: 9780763779474
ISBN-10: 0763779474
Edition: Math ed.
Author: Charles G. Denlinger
Publication date: 2010
Publisher: Jones & Bartlett Learning
Format: Paperback 739 pages
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Book details

ISBN-13: 9780763779474
ISBN-10: 0763779474
Edition: Math ed.
Author: Charles G. Denlinger
Publication date: 2010
Publisher: Jones & Bartlett Learning
Format: Paperback 739 pages

Summary

Elements of Real Analysis (International Series in Mathematics) (ISBN-13: 9780763779474 and ISBN-10: 0763779474), written by authors Charles G. Denlinger, was published by Jones & Bartlett Learning in 2010. With an overall rating of 4.1 stars, it's a notable title among other Applied (Mathematics) books. You can easily purchase or rent Elements of Real Analysis (International Series in Mathematics) (Paperback) from BooksRun, along with many other new and used Applied books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $32.62.

Description

Elementary Real Analysis is a core course in nearly all mathematics departments throughout the world. It enables students to develop a deep understanding of the key concepts of calculus from a mature perspective. Elements of Real Analysis is a student-friendly guide to learning all the important ideas of elementary real analysis, based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors. It avoids the compact style of professional mathematics writing, in favor of a style that feels more comfortable to students encountering the subject for the first time. It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage.

In using this book, students discover that real analysis is completely deducible from the axioms of the real number system. They learn the powerful techniques of limits of sequences as the primary entry to the concepts of analysis, and see the ubiquitous role sequences play in virtually all later topics. They become comfortable with topological ideas, and see how these concepts help unify the subject. Students encounter many interesting examples, including "pathological" ones, that motivate the subject and help fix the concepts. They develop a unified understanding of limits, continuity, differentiability, Riemann integrability, and infinite series of numbers and functions.

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