Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples.Ī Path to Combinatorics for Undergraduates - Titu Andreescu,Zuming Feng SummaryThis unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions.
GEOMETRY OLYMPIAD PROBLEMS SERIES
Solving Problems in Geometry - Kim Hoo Hang,Haibin Wang SummaryThis new volume of the Mathematical Olympiad Series focuses on the topic of geometry. We treat each chapter as a short story of its own and include numerous solved exercises with detailed explanations and related insights that will hopefully make your journey very enjoyable. The work is designed as a medley of the important Lemmas in classical geometry in a relatively linear fashion: gradually starting from Power of a Point and common results to more sophisticated topics, where knowing a lot of techniques can prove to be tremendously useful.
In some sense, the text also represents an unofficial sequel to the recent problem collection published by XYZ Press, 110 Geometry Problems for the International Mathematical Olympiad, written by the first and third authors, but the two books can be studied completely independently of each other. Lemmas in Olympiad Geometry - Titu Andreescu,Cosmin Pohoata,Sam Korsky SummaryThis book showcases the synthetic problem-solving methods which frequently appear in modern day Olympiad geometry, in the way we believe they should be taught to someone with little familiarity in the subject.
GEOMETRY OLYMPIAD PROBLEMS PROFESSIONAL
Geometric Problems on Maxima and Minima - Titu Andreescu,Oleg Mushkarov,Luchezar Stoyanov SummaryPresents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts. 102 Combinatorial Problems - Titu Andreescu,Zuming Feng Summary'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. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. 104 Number Theory Problems - Titu Andreescu,Dorin Andrica,Zuming Feng SummaryThis challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate 'positive' conjectures and provide solutions.
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