Winning Solutions
1st Edition
Published on 6. September 1996
Book
Paperback/Softback
X, 260 pages
978-0-387-94743-3 (ISBN)
Description
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.
More details
Product info
Paperback
Series
Language
English
Place of publication
New York, NY
United States
Target group
Research
Product notice
Paperback (trade)
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
398 gr
ISBN-13
978-0-387-94743-3 (9780387947433)
DOI
10.1007/978-1-4612-4034-1
Schweitzer Classification
Other editions
Additional editions
Edward Lozansky | Cecil Rousseau
Winning Solutions
E-Book
12/2012
Springer
€96.29
Available for download
Content
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.