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Geometry, Dynamics And Topology Of Foliation: A First Course, Scardua Bruno & Morales Carlos


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Автор: Scardua Bruno & Morales Carlos
Название:  Geometry, Dynamics And Topology Of Foliation: A First Course
ISBN: 9789813207073
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813207078
Обложка/Формат: Hardback
Страницы: 196
Вес: 0.50 кг.
Дата издания: 19.04.2017
Серия: Mathematics
Язык: English
Размер: 162 x 237 x 20
Читательская аудитория: College/higher education
Ключевые слова: Topology, MATHEMATICS / Geometry / General,MATHEMATICS / Geometry / Algebraic,MATHEMATICS / Topology
Основная тема: Mathematics / Geometry (Convex And Discrete Geometry) And Topology
Поставляется из: Англии
Описание: The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefligers Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.


Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Автор: Marco Pettini
Название: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
ISBN: 1441921648 ISBN-13(EAN): 9781441921642
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The subject of the book, which contains numerous illustrations throughout, is very original and nothing similar has been written hitherto.

Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

Topology, Geometry and Gauge fields

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Hyperboloidal Foliation Method, The

Автор: Lefloch Philippe G & Ma Yue
Название: Hyperboloidal Foliation Method, The
ISBN: 9814641626 ISBN-13(EAN): 9789814641623
Издательство: World Scientific Publishing
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Цена: 9821.00 р.
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Описание: The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 ] 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.

Mid-Latitude Atmospheric Dynamics: A First Course

Автор: Jonathan E. Martin
Название: Mid-Latitude Atmospheric Dynamics: A First Course
ISBN: 0470864656 ISBN-13(EAN): 9780470864654
Издательство: Wiley
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Цена: 8704.00 р.
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Описание: This exciting text provides a mathematically rigorous yet accessible textbook that is primarily aimed at atmospheric science majors. Its accessibility is due to the texts emphasis on conceptual understanding. The first five chapters constitute a companion text to introductory courses covering the dynamics of the mid-latitude atmosphere.

A First Course in Computational Algebraic Geometry

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
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Цена: 2534.00 р.
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Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.

A First Course in Dynamics

Автор: Boris Hasselblatt
Название: A First Course in Dynamics
ISBN: 0521587506 ISBN-13(EAN): 9780521587501
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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Описание: This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigour with copious examples of important applications, covering topics ranging from Newtonian mechanics to coding theory.

Geometry and Topology of Manifolds

Автор: Futaki
Название: Geometry and Topology of Manifolds
ISBN: 443156019X ISBN-13(EAN): 9784431560197
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincar? conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in K?hler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.
The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.
Many-Body Physics, Topology and Geometry

Автор: Sen Siddhartha, Gupta Kumar Sankar
Название: Many-Body Physics, Topology and Geometry
ISBN: 9814678163 ISBN-13(EAN): 9789814678162
Издательство: World Scientific Publishing
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Цена: 9187.00 р.
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Описание: The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.

A First Course in Computational Fluid Dynamics

Автор: H. Aref, S. Balachandar
Название: A First Course in Computational Fluid Dynamics
ISBN: 1107178517 ISBN-13(EAN): 9781107178519
Издательство: Cambridge Academ
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Цена: 19800.00 р.
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Описание: A broad and fundamental coverage of computational fluid dynamics (CFD), explaining basic numerical methods and offering a rigorous introduction to CFD. This book emphasises the exploration of fluid science through computation and is an ideal text for any course in this area.

A First Course in Computational Fluid Dynamics

Автор: H. Aref, S. Balachandar
Название: A First Course in Computational Fluid Dynamics
ISBN: 131663096X ISBN-13(EAN): 9781316630969
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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Описание: A broad and fundamental coverage of computational fluid dynamics (CFD), explaining basic numerical methods and offering a rigorous introduction to CFD. This book emphasises the exploration of fluid science through computation and is an ideal text for any course in this area.


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