عنوان

Understanding analysis /

شابک

1493927116

شابک

1493927124

شابک

9781493927111

شابک

9781493927128

شابک اشتباه

9781493927111

شماره

b623745

عنوان اصلي

Understanding analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Stephen Abbott.

وضعيت ويراست

Second edition.

نام خاص و کميت اثر

1 online resource (xii, 312 pages) :

ساير جزييات

illustrations

عنوان فروست

Undergraduate texts in mathematics

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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 Eulers computation of ℓœ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the books 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 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, thats whats going to happen. This terrific book will become the text of choice for the single-variable introductory analysis course Steve Kennedy, MAA Reviews.

منبع سفارش / آدرس اشتراک

Springer

شماره استاندارد بين المللي کتاب و موسيقي

9781493927111

موضوع مستند نشده

Mathematical analysis.

موضوع مستند نشده

Analysis.

موضوع مستند نشده

Applied Mathematics.

موضوع مستند نشده

Engineering & Applied Sciences.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Analyse mathématique.

موضوع مستند نشده

Mathematical analysis.

موضوع مستند نشده

MAT034000

موضوع مستند نشده

PBK

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Abbott, Stephen,1964-

تاريخ عمليات

20201221082848.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y