Winning Solutions - Brossura

Lozansky, Edward

Brossura

ISBN 10: 0387947434 ISBN 13: 9780387947433

Casa editrice: Springer, 2013

Riassunto

Problem-solving competitions for mathematically talented sec­ ondary school students have burgeoned in recent years. This book covers only a fraction of the topics normally rep­ resented in competitions such as the USAMO and IMO.

Su questo libro

Contenuti

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.

Product Description

Book by Lozansky Edward Rousseau Cecil

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0387947434
• ISBN 13: 9780387947433
• Rilegatura: Copertina flessibile
• Numero di pagine: 260
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania