Understanding Analysis | 9781493950263 | Stephen Abbott | Boeken | bol (2024)

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.

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 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.

Review of the first edition:

“This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so well-motivated t

hat exposing students to it could well lead them to expect such excellence in all their textbooks. … Understanding Analysis is perfectly titled; if your students read it, that’s what’s going to happen. … This terrific book will become the text of choice for the single-variable introductory analysis course … ”

— Steve Kennedy, MAA Reviews

Inhoud

Taal

en

Bindwijze

Paperback

Oorspronkelijke releasedatum

29 oktober 2016

Aantal pagina's

312

Illustraties

Nee

Betrokkenen

Hoofdauteur

Stephen Abbott

Tweede Auteur

Stephen Abbott

Hoofduitgeverij

Springer-Verlag New York Inc.

Overige kenmerken

Editie

2

Extra groot lettertype

Nee

See Also

Understanding Analysis (Undergraduate Texts in Mathemat…

Product breedte

155 mm

Product lengte

235 mm

Studieboek

Ja

Verpakking breedte

155 mm

Verpakking hoogte

23 mm

Verpakking lengte

235 mm

Verpakkingsgewicht

5509 g

EAN

EAN

9781493950263

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Categorieën

• Wiskunde
• Boeken

Taal

Engels

Beschikbaarheid

Leverbaar

Select-bezorgopties

Vandaag Bezorgd, Avondbezorging, Zondagbezorging, Gratis verzending

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