Putnam and Beyond (eBook, PDF)
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This undergraduate textbook with an emphasis on problem solving serves as both a study guide for the William Lowell Putnam Mathematics Competition and as an excellent transition book from high school problem solving to college level mathematical research. With numerous examples and problems with solutions that reflect the spirit of the Putnam exam, the work is structured topically to assist undergraduates in gaining proficiency across a broad spectrum of subjects (algebra, real analysis, geometry and trigonometry, number theory, combinatorics and probabilities) that comprise a core mathematics...
This undergraduate textbook with an emphasis on problem solving serves as both a study guide for the William Lowell Putnam Mathematics Competition and as an excellent transition book from high school problem solving to college level mathematical research. With numerous examples and problems with solutions that reflect the spirit of the Putnam exam, the work is structured topically to assist undergraduates in gaining proficiency across a broad spectrum of subjects (algebra, real analysis, geometry and trigonometry, number theory, combinatorics and probabilities) that comprise a core mathematics curriculum. From the authors of Mathematical Olympiad Challenges (Birkhäuser Boston, 2000), Putnam and Beyond fills a gap in the market for problem-based texts that specifically target the Putnam exams and undergraduate mathematics majors.
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