Description 
ix, 189 pages : illustrations ; 25 cm 
Series 
Undergraduate texts in mathematics 

Undergraduate texts in mathematics.

Contents 
Partial Ch. 1. Sets and Functions  Ch. 2. Real and Complex Numbers  Ch. 3. Limits  Ch. 4. Bisection Arguments  Ch. 5. Infinite Series  Ch. 6. Periodic Functions  Ch. 7. Sequences  Ch. 8. Continuous Functions  Ch. 9. Derivatives  Ch. 10. Integration  Ch. 11. [pi], [gamma], e, and n!  App. Mathematical Induction 

Ch. 1. Sets and Functions  Ch. 2. Real and Complex Numbers  Ch. 3. Limits  Ch. 4. Bisection Arguments  Ch. 5. Infinite Series  Ch. 6. Periodic Functions  Ch. 7. Sequences  Ch. 8. Continuous Functions  Ch. 9. Derivatives  Ch. 10. Integration  Ch. 11. [pi], [gamma], e, and n!  App. Mathematical Induction 
Summary 
This book is intended as an undergraduate text on real analysis and includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a unique and novel approach to the subject matter that has not previously appeared in book form. The author defines what is meant by a limit just once, and all of the subsequent limiting processes are viewed as special cases of this one definition. In this way the subject matter attains a unity and coherence that is missing in the traditional approach, and students will be able to fully appreciate and understand the common source of the topics they are studying. These topics are presented as "variations on a theme" rather than essentially different ideas, and this leads to a clearer global view of the subject 
Bibliography 
Includes bibliographical references (page186) and index 
Subject 
Mathematical analysis.

LC no. 
97020490 
ISBN 
0387982744 (hardcover : acidfree paper) 

(hardcover : acidfree paper) 
