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Understanding Analysis by Stephen Abbott (Hardcover, 2016)

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By Stephen Abbott. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. This new edition is extensively revised and updated with a refocused layout.

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This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler's computation of (2), the Weierstrass Approximation Theorem, and the gamma function are now among the book's cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781493927111
eBay Product ID (ePID)
213985819

Product Key Features

Author
Stephen Abbott
Publication Name
Understanding Analysis
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
312 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
6679g

Additional Product Features

Title_Author
Stephen Abbott
Series Title
Undergraduate Texts in Mathematics
Country/Region of Manufacture
United States

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item 1 Understanding Analysis by Stephen Abbott (English) Hardcover Book
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Picture 1 of 1

Understanding Analysis by Stephen Abbott (Hardcover, 2016)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Understanding Analysis by Stephen Abbott (English) Hardcover Book

item 2 Stephen Abbott Understanding Analysis (Hardback)

item 3 Stephen Abbott Understanding Analysis (Hardback) (US IMPORT)

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

Dr. Robert Melillo Disconnected Kids - Revised and Updated (Paperback)

The Demon-Haunted World: Science as a Candle in the Dark by Carl Sagan (English)

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