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Mathematical Connections: A Capstone Course
John B. Conway, George Washington University, District of Columbia

2010; 243 pp; softcover
ISBN-10: 0-8218-4979-4
ISBN-13: 978-0-8218-4979-8
List Price: US$58
Member Price: US$46.40
Order Code: MBK/75
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See also:

The Erdős Distance Problem - Julia Garibaldi, Alex Iosevich and Steven Senger

Roots to Research: A Vertical Development of Mathematical Problems - Judith D Sally and Paul J Sally, Jr

A View from the Top: Analysis, Combinatorics and Number Theory - Alex Iosevich

This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.

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Undergraduate and graduate students interested in all areas of mathematics.


"[This book] is...a sourcebook to support many possible capstore courses (or supplement more traditional ones). Recommended."

-- D.V. Feldman, Choice

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