Автор: Chmutov Название: Introduction to Vassiliev Knot Invariants ISBN: 1107020832 ISBN-13(EAN): 9781107020832 Издательство: Cambridge Academ Рейтинг: Цена: 8094.00 р. 11563.00-30% Наличие на складе: Есть (1 шт.) Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.
Описание: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations.
The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach, the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching.
The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.
Описание: Covers the necessary background on tilings and then delves into a variety of fascinating topics in the field, including symmetry groups, random tilings, aperiodic tilings, and quasicrystals. Although primarily focused on tilings of the Euclidean plane, the book also covers tilings of the sphere, hyperbolic plane, and Euclidean 3-space.
Автор: Tom Richmond Название: General Topology: An Introduction ISBN: 3110686562 ISBN-13(EAN): 9783110686562 Издательство: Walter de Gruyter Рейтинг: Цена: 14495.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions. The author addresses all these topics with utter mathematical rigor. The high number of instructive Appendices and numerous Remark sections supply the necessary background knowledge.
Автор: Stahl Название: Introduction to Topology and Geometry 2e ISBN: 1118108108 ISBN-13(EAN): 9781118108109 Издательство: Wiley Рейтинг: Цена: 17574.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Ingemar Bengtsson, Karol Zyczkowski Название: Geometry of Quantum States : An Introduction to Quantum Entanglement ISBN: 1107656141 ISBN-13(EAN): 9781107656147 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Alexander Schmeding Название: An Introduction to Infinite-Dimensional Differential Geometry ISBN: 1316514889 ISBN-13(EAN): 9781316514887 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Emphasising connections to finite-dimensional geometry, it is accessible to graduate students, as well as researchers wishing to learn about the subject. Also available as Open Access on Cambridge Core.
Автор: Eilers Название: Introduction to Experimental Mathematics ISBN: 1107156130 ISBN-13(EAN): 9781107156135 Издательство: Cambridge Academ Рейтинг: Цена: 7286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.
Автор: Andrei Agrachev, Davide Barilari, Ugo Boscain Название: A Comprehensive Introduction to Sub-Riemannian Geometry ISBN: 110847635X ISBN-13(EAN): 9781108476355 Издательство: Cambridge Academ Рейтинг: Цена: 27878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive introduction to sub-Riemannian geometry proceeds from classical topics to cutting-edge theory and applications. The only prerequisites are calculus, linear algebra and differential equations. It can be used for graduate courses in Riemannian or sub-Riemannian geometry, or as a reference for researchers in several disciplines.
Описание: This detailed yet accessible text introduces the advanced mathematical methods at the core of theoretical physics. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering.
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