104 Number Theory Problems From The Training Of The Usa Imo Team
Download 104 Number Theory Problems From The Training Of The Usa Imo Team full books in PDF, epub, and Kindle. Read online free 104 Number Theory Problems From The Training Of The Usa Imo Team ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 214 |
Release | : 2007-04-05 |
Genre | : Mathematics |
ISBN | : 0817645616 |
This 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. 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. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Author | : Andreescu |
Publisher | : |
Total Pages | : 216 |
Release | : 2009-12-01 |
Genre | : |
ISBN | : 9788184895285 |
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 125 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 0817682228 |
"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.
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2000-04-26 |
Genre | : Mathematics |
ISBN | : 9780817641900 |
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 383 |
Release | : 2009-06-12 |
Genre | : Mathematics |
ISBN | : 0817646450 |
This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 222 |
Release | : 2006-03-04 |
Genre | : Mathematics |
ISBN | : 0817644326 |
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2011-09-21 |
Genre | : Mathematics |
ISBN | : 0817682538 |
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.
Author | : Svetoslav Savchev |
Publisher | : MAA |
Total Pages | : 244 |
Release | : 2003-02-27 |
Genre | : Education |
ISBN | : 9780883856451 |
Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.
Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2007-10-08 |
Genre | : Mathematics |
ISBN | : 0817644490 |
* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
Author | : Arthur Engel |
Publisher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2008-01-19 |
Genre | : Mathematics |
ISBN | : 0387226419 |
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.