102 مشکلات ترکیبی از آموزش تیم IMO ایالات متحده آمریکا 102 combinatorial problems from the training of the USA IMO team
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Titu Andreescu ,Zuming Feng
- ناشر : Birkhäuser Boston
- چاپ و سال / کشور: 2002
- شابک / ISBN : 9780817643171, 0817643176
Description
"Combinatorial Problems" consists of 102 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 inequalitiesThe 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.
