Excursions in Classical Analysis: Pathways to Advanced Problem Solving and Undergraduate Research (Classroom Resource Materials) - Hardcover

Chen, Hongwei

 
9780883857687: Excursions in Classical Analysis: Pathways to Advanced Problem Solving and Undergraduate Research (Classroom Resource Materials)

Synopsis

A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

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About the Author

Hongwei Chen was born in China, and received his PhD from North Carolina State University in 1991. He is currently a Professor of Mathematics at Christopher Newport University. He has published more than fifty research articles in classical analysis and partial differential equations.

From the Back Cover

Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof.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 other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that might at first glance, might not even seem to 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 book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.

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Other Popular Editions of the Same Title

9780521190824: Excursions in Classical Analysis: Pathways to Advanced Problem Solving and Undergraduate Research (Classroom Resource Materials)

Featured Edition

ISBN 10:  0521190827 ISBN 13:  9780521190824
Publisher: Cambridge University Press
Hardcover