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A Mathematical Journey to Relativity: Deriving Special and General Relativity with Basic Mathematics, Boskoff Wladimir-Georges, Capozziello Salvatore


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Автор: Boskoff Wladimir-Georges, Capozziello Salvatore
Название:  A Mathematical Journey to Relativity: Deriving Special and General Relativity with Basic Mathematics
ISBN: 9783030478933
Издательство: Springer
Классификация:



ISBN-10: 3030478939
Обложка/Формат: Hardcover
Страницы: 397
Вес: 0.76 кг.
Дата издания: 02.06.2020
Серия: Unitext for physics
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 50 tables, color; 6 illustrations, color; 38 illustrations, black and white; xxii, 397 p. 44 illus., 6 illus. in color.
Размер: 23.39 x 15.60 x 2.39 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Deriving special and general relativity with basic mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces.


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 the AdS/CFT Correspondence

Автор: N?stase
Название: Introduction to the AdS/CFT Correspondence
ISBN: 1107085853 ISBN-13(EAN): 9781107085855
Издательство: Cambridge Academ
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Цена: 9821.00 р.
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Описание: An innovative and accessible text that introduces all the necessary concepts needed to engage with the methods, tools, and applications of AdS/CFT correspondence, without assuming anything beyond an introductory course in quantum field theory. Pedagogical and self-contained, it is an excellent introduction for students and researchers across theoretical physics.

Problems and solutions in differential geometry, lie series, differential forms, relativity and applications

Автор: Steeb, Willi-hans (univ Of Johannesburg & Univ Of South Africa, South Africa)
Название: Problems and solutions in differential geometry, lie series, differential forms, relativity and applications
ISBN: 981323296X ISBN-13(EAN): 9789813232969
Издательство: World Scientific Publishing
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Цена: 6653.00 р.
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Описание:

This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.

Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.

G?del `96

Автор: H?jek
Название: G?del `96
ISBN: 1107168023 ISBN-13(EAN): 9781107168022
Издательство: Cambridge Academ
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Цена: 17581.00 р.
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Описание: The proceedings of the conference `Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Goedel`s Legacy`, held in Brno, Czech Republic, on the 90th anniversary of Goedel`s birth. The papers in this volume cover the wide range of topics Goedel`s work touched, and affirm its continuing importance.

General Relativity and Gravitation: A Centennial Perspective

Автор: Abhay Ashtekar, Beverly K. Berger, James Isenberg, Malcolm MacCallum
Название: General Relativity and Gravitation: A Centennial Perspective
ISBN: 1108810241 ISBN-13(EAN): 9781108810241
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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Описание: Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave science, mathematics, computing, and gravitation and quantum physics with this unique celebration of the centennial of Einstein`s discovery of general relativity. A definitive, comprehensive resource for researchers and graduate students in cosmology, relativity, and gravitational science.

Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields, The

Автор: Lefloch Philippe G, Ma Yue
Название: Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields, The
ISBN: 9813230851 ISBN-13(EAN): 9789813230859
Издательство: World Scientific Publishing
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Цена: 10930.00 р.
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Описание:

This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields. We formulate the initial value problem when the initial data set is a perturbation of an asymptotically flat, spacelike hypersurface in Minkowski spacetime. We then establish the existence of an Einstein development associated with this initial data set, which is proven to be an asymptotically flat and future geodesically complete spacetime.

Differential Geometry Of Warped Product Manifolds And Submanifolds

Автор: Chen Bang-yen
Название: Differential Geometry Of Warped Product Manifolds And Submanifolds
ISBN: 9813208929 ISBN-13(EAN): 9789813208926
Издательство: World Scientific Publishing
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Цена: 26136.00 р.
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Описание:

A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry -- except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.

The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.

The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.

The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

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.
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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.

First Course In Integral Equations, A (Second Edition)

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

How to Derive a Formula - Vol I: Basic Analytical Skills and Methods for Physical Scientists

Автор: Kornyshev Alexei A., Lee Dominic J. O`
Название: How to Derive a Formula - Vol I: Basic Analytical Skills and Methods for Physical Scientists
ISBN: 1786346443 ISBN-13(EAN): 9781786346445
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание:

Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery.

Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject -- familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.

How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences.

This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.

How to Derive a Formula - Vol I: Basic Analytical Skills and Methods for Physical Scientists

Автор: Kornyshev Alexei A., Lee Dominic J. O`
Название: How to Derive a Formula - Vol I: Basic Analytical Skills and Methods for Physical Scientists
ISBN: 1786346346 ISBN-13(EAN): 9781786346346
Издательство: World Scientific Publishing
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Цена: 22968.00 р.
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Описание:

Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery.

Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject -- familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.

How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences.

This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.


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