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Stephen Abbott Understanding Analysis (Hardback)

Description: Further DetailsTitle: Understanding AnalysisCondition: NewEAN: 9781493927111ISBN: 9781493927111Edition: 2nd ed. 2015Publisher: Springer-Verlag New York Inc.Format: HardbackRelease Date: 05/20/2015Description: 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 fromthe first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(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.Language: EnglishCountry/Region of Manufacture: USItem Height: 235mmItem Length: 155mmAuthor: Stephen AbbottGenre: Science Nature & MathBook Series: Undergraduate Texts in MathematicsRelease Year: 2015 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.

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Stephen Abbott Understanding Analysis (Hardback)

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Book Title: Understanding Analysis

Title: Understanding Analysis

EAN: 9781493927111

ISBN: 9781493927111

Edition: 2nd ed. 2015

Release Date: 05/20/2015

Release Year: 2015

Country/Region of Manufacture: US

Item Height: 235mm

Genre: Science Nature & Math

Number of Pages: Xii, 312 Pages

Publication Name: Understanding Analysis

Language: English

Publisher: Springer New York

Subject: Mathematical Analysis

Publication Year: 2015

Type: Textbook

Item Weight: 235.6 Oz

Author: Stephen Abbott

Item Length: 9.3 in

Subject Area: Mathematics

Series: Undergraduate Texts in Mathematics Ser.

Item Width: 6.1 in

Format: Hardcover

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