Undergraduate Texts in Mathematics: Understanding Analysis: Second Edition

Stephen Abbott

ISBN 10: 1493950266 / ISBN 13: 9781493950263

Editore: Springer New York, 2016

Gebrochener Buchrucken / Seiten oder Softcover umgeknickt. This book presents a one-semester course designed to engage students with the rigorous and rewarding axiomatic study of functions of a real variable. The course aims to challenge and enhance mathematical intuition rather than merely confirm it. The focus is on intriguing questions that highlight the fascination of analysis. The revised edition features an updated layout, additional exercises, and improved quality to better motivate readers. New topics include discussions on infinite products, expanded sections on metric spaces, the Baire category theorem, multi-variable functions, and the Gamma function. Reviews from the first edition praise its clarity and motivation, noting that it sets a high standard for textbooks. One reviewer remarked on its potential to raise students' expectations for quality in their learning materials. Each chapter begins with a discussion to motivate its content and concludes with an epilogue that hints at more advanced topics. The engaging and challenging presentation makes complex subjects accessible to beginners, emphasizing the elements of analysis that captivate interest. This book is positioned as an essential resource for introductory analysis courses, appealing to both instructors and students alike. Codice articolo 1531c866-0aaa-496b-827e-c193b9f8da50

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Informazioni sull?autore:

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.          

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Titolo: Undergraduate Texts in Mathematics: ...
Casa editrice: Springer New York
Data di pubblicazione: 2016
Legatura: Softcover
Condizione: Fine