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A Mathematical Introduction to General Relativity, Sasane Amol


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Автор: Sasane Amol
Название:  A Mathematical Introduction to General Relativity
ISBN: 9789811243776
Издательство: World Scientific Publishing
Издательство: World Scientific Publishing Company
Классификация:
ISBN-10: 9811243778
Обложка/Формат: Hardback
Страницы: 500
Вес: 0.83 кг.
Дата издания: 31.08.2021
Серия: Physics
Язык: English
Размер: 22.86 x 15.24 x 1.42 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Relativity physics, MATHEMATICS / Applied,MATHEMATICS / Geometry / Differential,SCIENCE / Physics / Relativity
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Поставляется из: США
Описание: The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe.Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included.


Supergravity

Автор: Freedman
Название: Supergravity
ISBN: 0521194016 ISBN-13(EAN): 9780521194013
Издательство: Cambridge Academ
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Цена: 10771.00 р.
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Описание: Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. It provides a thorough introduction to the fundamentals of supergravity and with numerous exercises, examples and its range of applications, it is ideal for both Ph.D. students and researchers.

Introduction to clifford algebras and spinors

Автор: Vaz, Jr., Jayme (professor Of Mathematical Physics, University Of Campinas, Brazil) Da Rocha, Jr., Roldao (associate Professor, Abc Federal University
Название: Introduction to clifford algebras and spinors
ISBN: 0198836287 ISBN-13(EAN): 9780198836285
Издательство: Oxford Academ
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Цена: 5146.00 р.
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Описание: This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.

An Introduction to Mathematical Relativity

Автор: Natбrio Josй
Название: An Introduction to Mathematical Relativity
ISBN: 3030656829 ISBN-13(EAN): 9783030656829
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics.

An Eventful Journey To Unification Of All The Fundamental Forces, An

Автор: Delbourgo Robert
Название: An Eventful Journey To Unification Of All The Fundamental Forces, An
ISBN: 9811210144 ISBN-13(EAN): 9789811210143
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание:

During the last years of his life Einstein tried unsuccessfully to unify electromagnetic force with gravitational force geometrically. The nearest he got was through the ideas of Kaluza and Klein who appended a tiny fifth commuting coordinate to spacetime. Researchers have followed in those footsteps by adding at least six more such minuscule coordinates so as to incorporate the other forces of nature, culminating in string theory -- which has unfortunately not met with experimental support. Other proposals have likewise failed or are still waiting to be confirmed experimentally.

The author shows that one can successfully unify gravity with electromagnetism geometrically by adding a single complex anticommuting coordinate to spacetime, which can be associated with the property of 'electricity'. By adding extra four anticommuting properties ('chromicity' and 'neutrinicity'), associated with strong and weak interactions, one can get a unified picture of all the natural forces and particles including the 'standard model' The whole construct relies upon the full specification of events and automatically allows for replication of particle families. The monograph traces the history of attempts of unification before explaining the author's 'where-when-what' scheme.

Formulations of General Relativity: Gravity, Spinors and Differential Forms

Автор: Kirill Krasnov
Название: Formulations of General Relativity: Gravity, Spinors and Differential Forms
ISBN: 1108481647 ISBN-13(EAN): 9781108481649
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.

Introduction To General Relativity And Cosmology

Автор: Boehmer Christian G
Название: Introduction To General Relativity And Cosmology
ISBN: 1786341174 ISBN-13(EAN): 9781786341174
Издательство: World Scientific Publishing
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Цена: 9187.00 р.
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Описание: Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.

Introduction To General Relativity And Cosmology

Автор: Boehmer Christian G
Название: Introduction To General Relativity And Cosmology
ISBN: 1786341182 ISBN-13(EAN): 9781786341181
Издательство: World Scientific Publishing
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Цена: 5069.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.


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