Geometry And Physics Volume I

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Geometry And Physics

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Author : Andrew Dancer
language : en
Publisher:
Release Date : 2018

Geometry And Physics written by Andrew Dancer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Geometry categories.

Covering a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics, this volume will be of interest to researchers and graduate students in geometry and mathematical physics.

Geometric And Topological Methods For Quantum Field Theory

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Author : Hernan Ocampo
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-13

Geometric And Topological Methods For Quantum Field Theory written by Hernan Ocampo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-13 with Science categories.

This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Corridors The Geometry Physics And Mathematics Of Chess Vol 1

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Author : Herman Tolbert Sr.
language : en
Publisher: Xlibris Corporation
Release Date : 2011-09-14

Corridors The Geometry Physics And Mathematics Of Chess Vol 1 written by Herman Tolbert Sr. and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-14 with Games & Activities categories.

Chess enthusiast Herman Tolbert Sr takes three of the four elements of chess (space, time, force) and parallels a one to one mapping that relates Geometry, Physics and Mathematics in a unique theme he terms "Corridors". Compiling over-the-board tournament experience along with online worldwide games as well as friendly pick-up games, Corridors is a repeated process which eventually zones in on the King or significant material which has game winning advantages. This work hopes to demonstrate Mr. Tolberts classroom teaching skills and his keen analytical ability to breakdown the complex into simpler form(s) Corridors is a combination of whole or partial rank(s), file(s) and square(s) which are controlled to a lasting degree which yield advantageous results. Many chess concepts are conveyed by novice to Grandmasters, but this unique work though not for the very beginner can be applied by the many eager-to-improve players; no matter the skill level. It is with this spirit that Mr. Tolbert wishes to share what he feels is a path of enlightenment, whose fruits of labor is a growth in understanding chess which can only lead to more victories.

Models For Polymeric And Anisotropic Liquids

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Author : Martin Kröger
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-15

Models For Polymeric And Anisotropic Liquids written by Martin Kröger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-15 with Science categories.

Models should be as simple as possible, but no simpler. For the physics of polymeric liquids, whose relevant lengths and time scales are out of reach for first principles calculations, this means that we have to choose a minimum set of sufficiently detailed descriptors such as architecture (linear, ring, branched), connectivity, semiflexibility, stretchability, excluded volume, and hydrodynamic interaction. These 'universal' fluids allow the prediction of material properties under external flow- or electrodynamic fields, the results being expressed in terms of reference units, specific for any particular chosen material. This book provides an introduction to the kinetic theory and computer simulation methods needed to handle these models and to interpret the results. Also included are a number of sample applications and computer codes.

Ricci And Levi Civita S Tensor Analysis Paper

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Author : Robert Hermann
language : en
Publisher:
Release Date : 1975

Ricci And Levi Civita S Tensor Analysis Paper written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.

Geometric Continuum Mechanics And Induced Beam Theories

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Author : Simon R. Eugster
language : en
Publisher: Springer
Release Date : 2015-03-19

Geometric Continuum Mechanics And Induced Beam Theories written by Simon R. Eugster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-19 with Science categories.

This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Principles Of Algebraic Geometry

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Author : Phillip Griffiths
language : en
Publisher: John Wiley & Sons
Release Date : 2014-08-21

Principles Of Algebraic Geometry written by Phillip Griffiths and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Mathematics categories.

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

Geometry And Physics

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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-17

Geometry And Physics written by Jürgen Jost and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-17 with Mathematics categories.

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Differential Geometry

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Author : J. J. Stoker
language : en
Publisher: John Wiley & Sons
Release Date : 1989-01-18

Differential Geometry written by J. J. Stoker and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-18 with Mathematics categories.

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.

Geometric Mechanics On Riemannian Manifolds

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Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-15

Geometric Mechanics On Riemannian Manifolds written by Ovidiu Calin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-15 with Mathematics categories.

* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics