Table Of Content1. Introduction. 2. Sequences. 3. Limits of Functions. 4. Continuity. 5. Differentiation. 6. Integration. 7. Infinite Series. 8. Sequences and Series of Functions. 9. Vector Calculus. 10. Functions of Two Variables. 11. Multiple Integration. Hints and Solutions to Selected Exercises. Index of Symbols. Index.
SynopsisFor two-semester/three-quarter, first undergraduate courses in Advanced Calculus or Real Analysis. This book is an easy, readable, intimidation-free analysis textbook. Ideas and methods of proof build upon each other and are explained thoroughly. This text covers both single and multivariable analysis in a student friendly setting., For two-semester/three-quarter, first undergraduate courses in Advanced Calculus or Real Analysis. This book is an easy, readable, intimidation-free analysis textbook. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first text to cover both single and multivariable analysis in such a student friendly setting., This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. For individuals seeking math fun at a higher level., This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. KEY TOPICS: Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. MARKET: For individuals seeking math fun at a higher level.