TY - BOOK AU - Peter Duren TI - Invitation to classical analysis T2 - Pure and Applied Undergraduate Texts SN - 978-1-4704-6321-2 AV - QA320 PY - 2012///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Chapter 1. Basic Principles Chapter 2. Special Sequences Chapter 3. Power Series and Related Topics Chapter 4. Inequalities Chapter 5. Infinite Products Chapter 6. Approximation by Polynomials Chapter 7. Tauberian Theorems Chapter 8. Fourier Series Chapter 9. The Gamma Function Chapter 10. Two Topics in Number Theory Chapter 11. Bernoulli Numbers Chapter 12. The Cantor Set Chapter 13. Differential Equations Chapter 14. Elliptic Integrals N2 - This book is designed for individual study but can also serve as a text for second-semester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applications. Special features are capsule scientific biographies of the major players and a gallery of portraits.Although this book is designed for undergraduate students, others may find it an accessible source of information on classical topics that underlie modern developments in pure and applied mathematics.---Summary provided by publisher ER -