Introduction to Analysis by Gaughan Edward D

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Introduction to Analysis by Gaughan Edward D

Regular price $14.49
Condition - Good
3 In stock
Regular price $14.49
Condition - Good
3 In stock

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Summary

Intends 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. This book offers students the vocabulary and facts necessary for further study in analysis.

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Introduction to Analysis by Gaughan Edward D

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 multi-step process requiring assistance for the beginner student.
SKU CIN0821847872G
ISBN 13 9780821847879
ISBN 10 0821847872
Title Introduction to Analysis
Author Gaughan Edward D
Series Pure And Applied Undergraduate Texts
Condition Good
Binding Type Hardback
Publisher American Mathematical Society
Year published 2009-02-28
Number of pages 240
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us