102 Combinatorial Problems
From the Training of the USA IMO Team
(Sprache: Englisch)
"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: Provides in-depth enrichment in the important areas of...
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"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.
"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team.
Key features:
- Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies
Topics include:
- combinatorial arguments and identities
- generating functions
- graph theory
- recursive relations
- sums and products
- probability
- number theory
- polynomials
- theory of equations
- complex numbers in geometry
- algorithmic proofs
- combinatorial and advanced geometry
- functional equations and classical inequalities
The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.
Key features:
- Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies
Topics include:
- combinatorial arguments and identities
- generating functions
- graph theory
- recursive relations
- sums and products
- probability
- number theory
- polynomials
- theory of equations
- complex numbers in geometry
- algorithmic proofs
- combinatorial and advanced geometry
- functional equations and classical inequalities
The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.
Inhaltsverzeichnis zu „102 Combinatorial Problems “
- Preface and Introduction- Acknowledgments
- Abbreviations and
- Notations
- Introductory Problems
- Advanced Problems
- Solutions to
- Introductory Problems
- Solutions to Advanced Problems
- Glossary *
- Further Reading
Bibliographische Angaben
- Autoren: Titu Andreescu , Zuming Feng
- 2002, 115 Seiten, Maße: 15,8 x 23,7 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 0817643176
- ISBN-13: 9780817643171
Sprache:
Englisch
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