9781493950263 - Understanding Analysis (Undergraduate Texts in Mathematics) von Abbott, Stephen (7 Ergebnisse)

paperback. Zustand: Very Good.

Zustand: New. In.

Zustand: New. pp. 312.

Softcover. Zustand: Fine. Gebrochener Buchrucken. 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.

Paperback. Zustand: Brand New. 2nd reprint edition. 312 pages. 9.00x6.00x0.75 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 zeta(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.

Taschenbuch. Zustand: Neu. Understanding Analysis | Stephen Abbott | Taschenbuch | xii | Englisch | 2016 | Springer | EAN 9781493950263 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.