Introduction to Analysis by American Mathematical Society

Introduction to Analysis by American Mathematical Society

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	Unavailable
ISBN 13	9780821847879
ISBN 10	0821847872
Title	Introduction to Analysis
Author	American Mathematical Society
Series	Pure And Applied Undergraduate Texts
Condition	Unavailable
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.