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Organized Collapse: An Introduction to Discrete Morse Theory, Dmitry N. Kozlov


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Автор: Dmitry N. Kozlov
Название:  Organized Collapse: An Introduction to Discrete Morse Theory
ISBN: 9781470457013
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 1470457016
Обложка/Формат: Hardback
Страницы: 312
Вес: 0.00 кг.
Дата издания: 30.09.2020
Серия: Graduate studies in mathematics
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry,Geometry,Topology
Подзаголовок: An introduction to discrete morse theory
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Поставляется из: Англии
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.



Introduction to Political Psychology

Автор: Cottam Martha L.
Название: Introduction to Political Psychology
ISBN: 1848726724 ISBN-13(EAN): 9781848726727
Издательство: Taylor&Francis
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Цена: 10258.00 р.
Наличие на складе: Поставка под заказ.

Описание: This comprehensive, user-friendly introductory textbook to political psychology explores the psychological origins of political behavior. The authors introduce readers to a broad range of theories, concepts, and case studies of political activity to illustrate that behavior. The book examines many patterns of political behaviors, including leadership, group behavior, voting, media effects, race, ethnicity, nationalism, social movements, terrorism, war, and genocide. It explores some of the most horrific things people do to each other, as well as how to prevent and resolve conflict – and how to recover from it. The book contains numerous features to enhance understanding, including text boxes highlighting current and historical events to help students see the connection between the world around them and the concepts they are learning. Different research methodologies used in the discipline are employed, such as experimentation and content analysis. The third edition of the book has two new chapters, one on the media, and one on social movements. This accessible and engaging introductory textbook is suitable as a primary text on a range of upper-level courses in political psychology, political behavior, and related fields, including policymaking.

Algebra: A Very Short Introduction

Автор: Higgins Peter M.
Название: Algebra: A Very Short Introduction
ISBN: 0198732821 ISBN-13(EAN): 9780198732822
Издательство: Oxford Academ
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Цена: от 1138.00 р.
Наличие на складе: Есть

Описание: This Very Short Introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.

Introduction to manifolds

Автор: Tu, Loring W.
Название: Introduction to manifolds
ISBN: 1441973990 ISBN-13(EAN): 9781441973993
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.

Introduction to Vassiliev Knot Invariants

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
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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.

Numbers: A Very Short Introduction

Автор: Higgins Peter M.
Название: Numbers: A Very Short Introduction
ISBN: 0199584052 ISBN-13(EAN): 9780199584055
Издательство: Oxford Education
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Цена: 1582.00 р.
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Описание: In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.

Introduction to Analytic Number Theory

Автор: Apostol Tom M
Название: Introduction to Analytic Number Theory
ISBN: 1441928057 ISBN-13(EAN): 9781441928054
Издательство: Springer
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Цена: 7400.00 р.
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Описание: "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory.

Modular Forms: A Classical and Computational Introduction: 2nd Edition

Автор: Kilford Lloyd J. P.
Название: Modular Forms: A Classical and Computational Introduction: 2nd Edition
ISBN: 1783265450 ISBN-13(EAN): 9781783265459
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators.

Introduction to Random Graphs

Автор: Frieze
Название: Introduction to Random Graphs
ISBN: 1107118506 ISBN-13(EAN): 9781107118508
Издательство: Cambridge Academ
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Цена: 9979.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book covers random graphs from the basic to the advanced and will appeal to anyone interested in combinatorics, applied probability or theoretical computer science. Having read this book, the reader should be in a good position to pursue research in the area.

Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)

Автор: Reis Clive, Rankin Stuart A.
Название: Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)
ISBN: 9814730548 ISBN-13(EAN): 9789814730549
Издательство: World Scientific Publishing
Цена: 8870.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata.

This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.

Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced -- via congruence classes -- to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless.

In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.

Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)

Автор: Reis Clive, Rankin Stuart A.
Название: Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)
ISBN: 981473053X ISBN-13(EAN): 9789814730532
Издательство: World Scientific Publishing
Цена: 19483.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata.

This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.

Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced -- via congruence classes -- to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless.

In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.

Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings

Автор: Jan Vries
Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings
ISBN: 3110340739 ISBN-13(EAN): 9783110340730
Издательство: Walter de Gruyter
Цена: 22305.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.


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