Winning solutions/
Lozansky, Edward
Winning solutions/ Edward Lozansky and Cecil Rousseau - New York: Springer, 1996. - x, 244p. : ill. ; 24 cm. - (Problem books in mathematics) .
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.
9788184895261
Number theory
Combinatorial analysis
Mathematics
510.76 / LOZ/W
Winning solutions/ Edward Lozansky and Cecil Rousseau - New York: Springer, 1996. - x, 244p. : ill. ; 24 cm. - (Problem books in mathematics) .
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.
9788184895261
Number theory
Combinatorial analysis
Mathematics
510.76 / LOZ/W