Introduction to analysis
 Author/Creator
 Gaughan, Edward.
 Language
 English.
 Edition
 5th ed.
 Imprint
 Providence, R.I. : American Mathematical Society, [2009?]
 Physical description
 xi, 240 p. : ill. ; 24 cm.
 Series

Sally series (Providence, R.I.)
Pure and applied undergraduate texts ; 1.
Access
Available online

Stacks

Unknown
QA300 .G34 2009

Unknown
QA300 .G34 2009
More options
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preliminaries
 Sequences
 Limits of functions
 Continuity
 Differentiation
 The Riemann integral
 Infinite series
 Sequences and series of functions.
 Publisher's Summary
 Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multistep process requiring assistance for the beginner student.
(source: Nielsen Book Data)
Subjects
 Genre
 Lehrbuch.
Bibliographic information
 Reprint/reissue date
 2009
 Original date
 1998
 Responsibility
 Edward D. Gaughan.
 Series
 The Sally series
 Pure and applied undergraduate texts ; 1
 Note
 Includes index.
 Originally published: 5th ed. Pacific Grove, CA : Brooks/Cole, c1998.
 ISBN
 9780821847879 (alk. paper)
 0821847872 (alk. paper)