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Title:
Putnam and beyond
Personal Author:
Publication Information:
New York, NY. : Springer, 2007
Physical Description:
xvi, 798 p. : ill. ; 24 cm.
ISBN:
9780387257655

9780387684451
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Also available in online version
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30000010178851 QA43 G38 2007 Open Access Book Book
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Summary

Summary

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research.


Table of Contents

Preface
Methods
Algebra
Real Analysis
Geometry and Trigonometry
Number Theory
Combinatorics and Probabilities
Solutions
Definitions and Notations
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