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" Winning solutions / "
Edward Lozansky, Cecil Rousseau.
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BL
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| Record Number
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655820
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| Doc. No
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dltt
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| Main Entry
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Lozansky, Edward.
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| Title & Author
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Winning solutions /\ Edward Lozansky, Cecil Rousseau.
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| Publication Statement
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New York :: Springer,, c1996.
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| Series Statement
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Problem books in mathematics
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| Page. NO
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x, 244 p. :: ill. ;; 24 cm.
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| ISBN
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0387947434 (New York: softcover : acid-free paper)
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: 9780387947433 (New York: softcover : acid-free paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 237-238) and index.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Mathematics, Problems, exercises, etc.
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| LC Classification
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QA43.L793 1996
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| Added Entry
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Rousseau, Cecil.
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