problems combinatorics

Problem-Solving Methods in Combinatorics An Approach to Olympiad Problems【電子書籍】 Pablo Sober nProblems from the Discrete to the Continuous Probability, Number Theory, Graph Theory, and Combinatorics【電子書籍】 Ross G. PinskyRandom Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics【電子書籍】 Guy FayolleAdditive Combinatorics A Menu of Research Problems【電子書籍】 Bela Bajnok
 

商品の説明

  • <p>Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. It also includes a large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book. The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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    商品の説明

  • <p>The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※...
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    商品の説明

  • <p>This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as <em>Stochastic Networks</em>, <em>Analytic Combinatorics</em>, and <em>Quantum Physics</em>. This second edition consists of two parts.</p> <p><strong>Part I</strong> is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using <em>Complex Function Theory</em>, <em>Boundary</em> <em>Value Problems</em>, <em>Riemann Surfaces</em>, and <em>Galois Theory</em>, completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the <em>Transient Behavi...
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    商品の説明

  • <p><em><strong>Additive Combinatorics: A Menu of Research Problems</strong></em> is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written the book specifically for students of any background and proficiency level, from beginners to advanced researchers. It features an extensive menu of research projects that are challenging and engaging at many different levels. The questions are new and unsolved, incrementally attainable, and designed to be approachable with various methods.</p> <p>The book is divided into five parts which are compared to a meal. The first part is called Ingredients and includes relevant background information about number theory, combinatorics, and group theory. The second part, Appetizers, introduces readers to the book’s main subject through samples. The third part, Sides, covers auxiliary functions that appear throughout different chapters. T...
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