0387947434 (New York: softcover : acid-free paper)
(Number (ISBN
9780387947433 (New York: softcover : acid-free paper)
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Winning solutions /
General Material Designation
[Book]
First Statement of Responsibility
Edward Lozansky, Cecil Rousseau.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
c1996.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 244 p. :
Other Physical Details
ill. ;
Dimensions
24 cm.
SERIES
Series Title
Problem books in mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 237-238) and index.
CONTENTS NOTE
Text of Note
Numbers: The natural numbers ; Mathematical induction ; Congruence ; Rational and irrational numbers ; Complex numbers ; Progressions and sums ; Diophantine equations ; Quadratic reciprocity -- Algebra: Basic theorems and techniques ; Polynomial equations ; Algebraic equations and inequalities ; The classical inequalities -- Combinatorics: What is combinatorics? ; Basics of counting ; Recurrence relations ; Generating functions ; The inclusion-exclusion principle ; The pigeonhole principle ; Combinatorial averaging ; Some extremal problems.
0
SUMMARY OR ABSTRACT
Text of Note
Provides exercises, theorems, techniques, and background for secondary school students interested in problem-solving competitions such as the International Mathematics Olympiad (IMO) or the USA Mathematical Olympiad (USAMO). "This book covers only a fraction of the topics normally represented in competitions such as the USAMO and IMO."--Preface, p.v.