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## Classroom Resource Materials: Excursions in Classical Analysis (Hardback)" ## $44.49 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD to LIKE NEW:** This book is in excellent condition and would be considered LIKE NEW if it weren’t for two extremely small blemishes in the front cover. The pages are clean and the binding is tight.

## Description

From the back cover: “The author presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to different beautiful parts of mathematics. Readers will frequently see problems solved by sing and idea that, at first glance, might not seem to even apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. *Excursions* emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis.

“The carefully selected assortment of problems, presented at the end of each chapter, includes 22 Putnam problems, 50 MAA monthly problems, and 14 open problems. These problems are not related to the chapter topics, but connect naturally to other problems and even serve as introductions to other areas of mathematics.

“The book will be useful in students’ preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. *Excursions* is also ideal for self-study, since the chapters are independent of one another and may be read in any order.”

**Chapters**

- Two Classical Inequalities
- A New Approach for Proving Inequalities
- Means Generated by an Integral
- The L’Hôpital Monotone Rule
- Trigonometric Identities via Complex Numbers
- Special Numbers
- On a Sum of Cosecants
- The Gamma Products in Simple Closed Forms
- On the Telescoping Sums
- Summation of Subseries in Closed Form
- Generating Functions for Powers of Fibonacci Numbers
- Identities for the Fibonacci Powers
- Bernoulli Numbers via Determinants
- On Some Finite Trigonometric Power Sums
- Power Series of (arcsin x)
^{2} - Six Ways to Sum ζ(2)
- Evaluations of Some Variant Euler Sums
- Interesting Series Involving Binomial Coefficients
- Parametric Differentiation and Integration
- Four Ways to Evaluate the Poisson Integral
- Some Irresistible Integrals

Each chapter has Exercises and References. The end matter includes Solutions to Selected Problems, Index, and About the Author.

## Details

- SKU:
- 2236
- Subject:
- Mathematics
- Author:
- Chen, Hongwei
- Publisher:
- Mathematical Association of America
- Publish Date:
- 2010 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.57
- Dimensions (W”xL”xH”):
- 7.25″x10.25″x0.8″
- ISBN-13:
- 9780883857687
- ISBN-10:
- 0883857685
- Grade Level:
- College
- Series:
- Classroom Resource Materials from the MAA

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