ISBN-10:
0387947434
ISBN-13:
9780387947433
Pub. Date:
09/06/1996
Publisher:
Springer New York
Winning Solutions / Edition 1

Winning Solutions / Edition 1

by Edward Lozansky, Cecil Rousseau

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Product Details

ISBN-13: 9780387947433
Publisher: Springer New York
Publication date: 09/06/1996
Series: Problem Books in Mathematics
Edition description: 1996
Pages: 260
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Numbers.- 1.1 The Natural Numbers.- 1.2 Mathematical Induction.- 1.3 Congruence.- 1.4 Rational and Irrational Numbers.- 1.5 Complex Numbers.- 1.6 Progressions and Sums.- 1.7 Diophantine Equations.- 1.8 Quadratic Reciprocity.- 2 Algebra.- 2.1 Basic Theorems and Techniques.- 2.2 Polynomial Equations.- 2.3 Algebraic Equations and Inequalities.- 2.4 The Classical Inequalities.- 3 Combinatorics.- 3.1 What is Combinatorics?.- 3.2 Basics of Counting.- 3.3 Recurrence Relations.- 3.4 Generating Functions.- 3.5 The Inclusion-Exclusion Principle.- 3.6 The Pigeonhole Principle.- 3.7 Combinatorial Averaging.- 3.8 Some Extremal Problems.- Hints and Answers for Selected Exercises.- General References.- List of Symbols.

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