2nd ed. — Springer, 2025. — 402 p. — ISBN-13 : 978-3031869457 This book adopts the logic of Systems Thinking and Control Systems, presenting a simple but complete theory called the Theory of Combinatory Systems. This new theory describes, interprets, explains, and simulates collective phenomena and their observable effects. Such collective phenomena – many of which are “one...
Springer, 2025. — 167 p. — ISBN-13 : 978-3031841279 This book focuses on the computational aspects of graph convexity, with a particular emphasis on path convexity within graphs. It provides a thoughtful introduction to this emerging research field, which originated by adapting concepts from convex geometry to combinatorics and has experienced substantial growth.
Минск: Белорусский национальный технический университет, 2025. — 145 с. Комплекс содержит основные математические методы, знание которых необходимо для специалистов в области инженерии и программирования: комбинаторные задачи; операции над множествами; кодирование и шифрование; методы проверки логических высказываний; оптимизационные задачи на графах. Вместе с теоретическими...
Chapman and Hall/CRC, 2025. — 521 p. The concept of completely regular codes was introduced by Delsarte in his celebrated 1973 thesis, which created the field of Algebraic Combinatorics. This notion was extended by several authors from classical codes over finite fields to codes in distance-regular graphs. Half a century later, there was no book dedicated uniquely to this...
2nd edition. — Cambridge: Cambridge University Press, 2001. — 620 p. — ISBN: 0521006015. Combinatorics, a subject dealing with ways of arranging and distributing objects, involves ideas from geometry, algebra, and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has...
London: Ellis Horwood, 1995. — 270 p. — ISBN 0138340943. For too long ‘applied mathematics’ in schools and universities has meant ‘mechanics’. Although this area still has an important role to play, many students are turning away from it and are showing a growing interest in newer areas of applications of mathematics, such as those covered by the various syllabuses in A-level...
Translated from French by H.G. Flegg. — Transworld, 1972. — 147 p. The last twenty years or so have seen a remarkable development in the study of finite combinatorial problems. These problems arise in a very wide variety of situations and are of pressing interest not only in the pure and applied sciences but also in fields such as sociology, economics, psychology, linguistics,...
Издание автора, 2024. — 42 с. В отличии от других моих книг, связанных с данной тематикой (например, «Элементы комбинаторики, теории вероятностей и математической статистики») эта книга, в основном, на более чем 20 примерах и задачах комбинаторики, показывает, как можно успешно использовать нейросети при их решении.
Frank Ruskey, 2003. — 311 p. Humanity has long enjoyed making lists. All children delight in their new-found ability to count 1,2,3, etc., and it is a profound revelation that this process can be carried out indefinitely. The fascination of finding the next unknown prime or of listing the digits of π appeals to the general population, not just mathematicians. The desire to...