An Introduction To Geometrical Physics

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An Introduction To Geometrical Physics

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Author : Aldrovandi Ruben
language : en
Publisher: World Scientific
Release Date : 2016-10-07

An Introduction To Geometrical Physics written by Aldrovandi Ruben and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-07 with Science categories.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.

An Introduction To Geometrical Physics

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Author : Aldrovandi Ruben
language : en
Publisher:
Release Date : 2016

An Introduction To Geometrical Physics written by Aldrovandi Ruben and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Geometry, Differential categories.

"This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding."--Publisher's website.

Geometrical Properties Of Vectors And Covectors An Introductory Survey Of Differentiable Manifolds Tensors And Forms

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Author : Joaquim Maria Domingos
language : en
Publisher: World Scientific
Release Date : 2006-10-09

Geometrical Properties Of Vectors And Covectors An Introductory Survey Of Differentiable Manifolds Tensors And Forms written by Joaquim Maria Domingos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-09 with Mathematics categories.

This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.

Geometrical Properties Of Vectors And Convectors

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Author : Joaquim M. Domingos
language : en
Publisher: World Scientific
Release Date : 2006

Geometrical Properties Of Vectors And Convectors written by Joaquim M. Domingos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.

Modern Differential Geometry For Physicists

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Author : Chris J. Isham
language : en
Publisher: Allied Publishers
Release Date : 2002

Modern Differential Geometry For Physicists written by Chris J. Isham and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Geometry, Differential categories.

Spacetime Geometry And Gravitation

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Author : Pankaj Sharan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-18

Spacetime Geometry And Gravitation written by Pankaj Sharan 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 2009-11-18 with Science categories.

This is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss’ Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved.

Particles And Fields Proceedings Of The Ixth Jorge Andre Swieca Summer School

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Author : Joao Carlos Alves Barata
language : en
Publisher: World Scientific
Release Date : 1998-05-08

Particles And Fields Proceedings Of The Ixth Jorge Andre Swieca Summer School written by Joao Carlos Alves Barata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-08 with categories.

This book contains the proceedings of the IXth Jorge André Swieca Summer School — Particles and Fields — held at Campos do Jordao in February 1997.It surveys some of the most interesting research topics in theoretical physics, like duality theory, quantum field theory in curved space-time, supersymmetry and the standard model, differential geometry and its applications in physics and cosmic ray physics.

Spacetime And Geometry

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Author : Sean M. Carroll
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08

Spacetime And Geometry written by Sean M. Carroll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Science categories.

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Analytic Geometry And Linear Algebra For Physical Sciences

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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Analytic Geometry And Linear Algebra For Physical Sciences written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.

Dive into the essential mathematical tools with "Analytic Geometry and Linear Algebra for Physical Sciences." This comprehensive guide is tailored for undergraduate students pursuing degrees in the physical sciences, including physics, chemistry, and engineering. Our book seamlessly integrates theoretical concepts with practical applications, fostering a deep understanding of linear algebra and analytic geometry. Each chapter is designed to build from fundamental concepts to advanced topics, reinforced by real-world examples that highlight the relevance of these mathematical principles. Key features include a progressive learning approach, numerous exercises ranging from basic to challenging, and practical applications that develop problem-solving skills. This book not only supports academic success but also cultivates the analytical mindset crucial for future scientific endeavors. Aspiring scientists will find in this book a valuable companion that demystifies mathematical complexities, making the journey through linear algebra and analytic geometry engaging and empowering.

Hamiltonian Dynamics

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Author : Gaetano Vilasi
language : en
Publisher: World Scientific
Release Date : 2001-03-09

Hamiltonian Dynamics written by Gaetano Vilasi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-09 with Science categories.

This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems.As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity.As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.