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Hongwei Chen - Excursions in Classical Analysis (Classroom Resource Materials) - 9780883857687 - V9780883857687
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Excursions in Classical Analysis (Classroom Resource Materials)

€ 85.27
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Description for Excursions in Classical Analysis (Classroom Resource Materials) Hardcover. A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students. Series: Classroom Resource Materials. Num Pages: 316 pages, illustrations. BIC Classification: PBK. Category: (U) Tertiary Education (US: College). Dimension: 254 x 178 x 20. Weight in Grams: 71.
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 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.

Product Details

Format
Hardback
Publication date
2010
Publisher
Mathematical Association of America
Number of pages
316
Condition
New
Series
Classroom Resource Materials
Number of Pages
301
Place of Publication
Washington, United States
ISBN
9780883857687
SKU
V9780883857687
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1

About Hongwei Chen
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.

Reviews for Excursions in Classical Analysis (Classroom Resource Materials)
Based on his obviously very rich and far-reaching experience in this didactic realm, the author offers a colorful panorama of various topics in calculus, both elementary and advanced, as well as a wide variety of typical problems placed in their respective historical contexts. Generally, starting from analyzing simple cases, the present book illustrates creative problem solving techniques along selected case studies, on the one hand, and helps students grasp the art of mathematical experimentation, guessing, discovery, and proof, on the other. In fact, this text often presents different approaches and solutions to a particular problem, thereby illuminating the fascinating interplay between original classical ideas, related more recent viewpoints, and various methods of proof likewise. ...No doubt, this fine book will be of great use and value for students preparing for mathematics competitions, participating in undergraduate analysis courses, seminars, and research projects, or conducting any kind of self-study in the field."" - Zentrallblatt Math ""Chen (Christopher Newport Univ) offers many enjoyable trips through classical analysis, providing wonderful insights and remarkable connections. The focus is problem solving, while modeling various aspects of discovery, proof, and multiple solutions. The chapters are organized around specific themes (e.g., classical inequalities or trigonometric identities via complex numbers or evaluating the Poisson integral), each designed to be experienced independently. The chapters consistently include historical perspectives, connections to modern research, and powerful interactions between continuous and discrete mathematics. ...The ""excursions"" are designed for upper-level mathematics students with strong backgrounds in calculus."" - CHOICE Magazine ""Chen's book is a wonderful tour of classical analysis and would serve as an excellent source of undergraduate enrichment/research problems. It recalls the type of gems in classical analysis, number theory, and combinatorics I first encountered in the books of Polya and Szego as an undergraduate many years ago. Peruse the table of contents and see if some of the topics and subtopics don't grab you."" - Henry Ricardo, MAA Reviews

Goodreads reviews for Excursions in Classical Analysis (Classroom Resource Materials)


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