出版日期:1996-9
ISBN:9780387947433
作者:Lozansky, Edward; Lozansky, E.; Rousseau, Cecil
页数:244页
书籍目录
Preface1 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 Reciprocity2 Algebra 2.1 Basic Theorems and Techniques 2.2 Polynomial Equations 2.3 Algebraic Equations and Inequalities 2.4 The Classical Inequalities3 Combinatorics 3.1 What is Combinatofics? 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 ProblemsHints and Answers for Selected ExercisesGeneral ReferencesList of SymbolsIndex
作者简介
This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.