Invitation to classical analysis

By: Peter DurenMaterial type: TextTextSeries: Pure and Applied Undergraduate Texts ; Vol. 17Publication details: Rhode Island: American Mathematical Society, [c2012]Description: 392 pISBN: 978-1-4704-6321-2Subject(s): MathematicsLOC classification: QA320
Contents:
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
Summary: 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
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA320 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00945
Total holds: 0

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

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

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