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Understanding Analysis

Previously published in hardcover
BuchKartoniert, Paperback
312 Seiten
Englisch
Springererschienen am29.10.20162. Aufl.
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.mehr
Verfügbare Formate
BuchGebunden
EUR24,60
BuchKartoniert, Paperback
EUR24,60
E-BookPDF1 - PDF WatermarkE-Book
EUR42,79
E-BookPDF1 - PDF WatermarkE-Book
EUR39,99

Produkt

KlappentextAcutely 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.
Zusammenfassung
Provides a polished and tuned-up version of the same core text that has proved successful with students and instructors for 15 years

Includes around 150 new exercises, in addition to around 200 of the best exercises from the first edition, and an accompanying solutions manual for instructors

Presents three new self-guided projects exploring Euler s sum, the factorial function and the Weierstrass Approximation Theorem

Request lecturer material: sn.pub/lecturer-material
Details
ISBN/GTIN978-1-4939-5026-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum29.10.2016
Auflage2. Aufl.
ReiheUndergraduate Texts in Mathematics
Seiten312 Seiten
SpracheEnglisch
Gewicht552 g
IllustrationenXII, 312 p. 36 illus. in color.
Artikel-Nr.41093584

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- 1 The Real Numbers.- 2 Sequences and Series.- 3 Basic Topology of R.- 4 Functional Limits and Continuity.- 5 The Derivative.- 6 Sequences and Series of Functions.- 7 The Riemann Integral.- 8 Additional Topics.- Bibliography.- Index.mehr
Kritik
"The choice of topics is a happy combination of the essential and the interesting, all truly leading to an understanding of what analysis is and what questions it addresses, aided by the author's extraordinarily lucid exposition. ... Summing Up: Highly recommended. Upper-division undergraduates." (D. Robbins, Choice, Vol. 53 (2), October, 2015)

"This is the second edition of a text for an undergraduate course in single-variable real analysis. ... The topics covered in this book are the ones that have, by now, become standard for a one-semester undergraduate real analysis course ... . Overall, this book represents, to my mind, the gold standard among single-variable undergraduate analysis texts." (Mark Hunacek, MAA Reviews, June, 2015)


"This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so well-motivated that 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; take a look at it next time you're preparing that class."

- Steve Kennedy, MAA Reviews

"Each chapter begins with a discussion section and ends with an epilogue. The discussion serves to motivate the content of the chapter while the epilogue points tantalisingly to more advanced topics. ... I wish I had written this book! The development of the subject follows the tried-and-true path, but the presentation is engaging and challenging. Abbott focuses attention immediately on the topics which make analysis fascinating ... and makes them accessible to an inexperienced audience."



- Scott Sciffer, The Australian Mathematical Society Gazettemehr

Autor

Stephen D. Abbott is Professor of Mathematics at Middlebury College. He is a two-time winner of Middlebury's Perkins Award for Excellence in Teaching (1998, 2010). His published work includes articles in the areas of operator theory and functional analysis, the algorithmic foundations of robotics, and the intersection of science, mathematics and the humanities.