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Variations on a Theme of Borel: An Essay on the Role of the Fundamental Group in Rigidity, Shmuel Weinberger


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Автор: Shmuel Weinberger
Название:  Variations on a Theme of Borel: An Essay on the Role of the Fundamental Group in Rigidity
ISBN: 9781107142596
Издательство: Cambridge Academ
Классификация:





ISBN-10: 1107142598
Обложка/Формат: Hardback
Страницы: 351
Вес: 0.64 кг.
Дата издания: 08.12.2022
Серия: Cambridge tracts in mathematics
Язык: English
Размер: 159 x 236 x 30
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry,Functional analysis & transforms,Groups & group theory,Topology, MATHEMATICS / Geometry / General
Основная тема: Algebra,Groups & group theory,Functional analysis & transforms,Algebraic geometry,Topology, MATHEMATICS / Geometry / General
Подзаголовок: An essay on the role of the fundamental group in rigidity
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: Shmuel Weinberger describes here analogies between geometric topology, differential geometry, group theory, global analysis, and noncommutative geometry. He develops deep tools in a setting where they have immediate application. The connections between these fields enrich each and shed light on one another.

Oeuvres - Collected Papers II

Автор: Armand Borel
Название: Oeuvres - Collected Papers II
ISBN: 3662443104 ISBN-13(EAN): 9783662443101
Издательство: Springer
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Цена: 55890.00 T
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Описание: In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas."

Oeuvres - Collected Papers IV

Автор: Armand Borel
Название: Oeuvres - Collected Papers IV
ISBN: 3642307175 ISBN-13(EAN): 9783642307171
Издательство: Springer
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Цена: 60550.00 T
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Описание: Contains the papers published by A Borel from 1983 to 1999. This volume concludes with an essay on H Poincare and special relativity. Some comments on, and corrections to, a number of papers have been added.

Rigidity and Symmetry

Автор: Robert Connelly; Asia Ivi? Weiss; Walter Whiteley
Название: Rigidity and Symmetry
ISBN: 1493949705 ISBN-13(EAN): 9781493949700
Издательство: Springer
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Цена: 102480.00 T
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Описание: "The thematic program on Discrete Geometry and Applications took place at the Fields Institute for Research in Mathematical Sciences in Toronto between July 1 and December 31, 2011. The papers included in this book are based on some research conducted during the semester and on some of the lectures there"--Preface.

Rigidity and symmetry

Название: Rigidity and symmetry
ISBN: 1493907808 ISBN-13(EAN): 9781493907809
Издательство: Springer
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Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "The thematic program on Discrete Geometry and Applications took place at the Fields Institute for Research in Mathematical Sciences in Toronto between July 1 and December 31, 2011. The papers included in this book are based on some research conducted during the semester and on some of the lectures there"--Preface.

Euclidean Distance Matrices and Their Applications in Rigidity Theory

Автор: Abdo Y. Alfakih
Название: Euclidean Distance Matrices and Their Applications in Rigidity Theory
ISBN: 303007417X ISBN-13(EAN): 9783030074173
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration.

Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.

Euclidean Distance Matrices and Their Applications in Rigidity Theory

Автор: Abdo Y. Alfakih
Название: Euclidean Distance Matrices and Their Applications in Rigidity Theory
ISBN: 3319978454 ISBN-13(EAN): 9783319978451
Издательство: Springer
Рейтинг:
Цена: 83850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration.

Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.

Introduction to Arithmetic Groups

Автор: Armand Borel
Название: Introduction to Arithmetic Groups
ISBN: 1470452316 ISBN-13(EAN): 9781470452315
Издательство: Mare Nostrum (Eurospan)
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Цена: 51750.00 T
Наличие на складе: Невозможна поставка.
Описание: Fifty years after it was first published, Armand Borel`s Introduction aux groupes arithmetiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory.

Linear Algebraic Groups

Автор: Armand Borel
Название: Linear Algebraic Groups
ISBN: 1461269547 ISBN-13(EAN): 9781461269540
Издательство: Springer
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Цена: 51230.00 T
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Classes of Polish Spaces Under Effective Borel Isomorphism

Автор: Vassilios Gregoriades
Название: Classes of Polish Spaces Under Effective Borel Isomorphism
ISBN: 1470415631 ISBN-13(EAN): 9781470415631
Издательство: Mare Nostrum (Eurospan)
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Цена: 78540.00 T
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Описание: Studies the equivalence classes under $\Delta^1_1$ isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation, and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of $\Delta^1_1$-reduction.


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