TY  - BOOK
AU  - Lozansky, Edward
AU  - Rousseau, Cecil
TI  - Winning solutions
SN  - 9788184895261
U1  - 510.76 
PY  - 1996///
CY  - New York
PB  - Springer
KW  - Number theory
KW  - Combinatorial analysis
KW  - Mathematics
N1  - 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
ER  -