A Mathematical Journey To Relativity

Download A Mathematical Journey To Relativity full books in PDF, epub, and Kindle. Read online A Mathematical Journey To Relativity ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

A Mathematical Journey to Relativity

Author : Wladimir-Georges Boskoff
Publisher : Springer Nature
ISBN 13 : 3030478947
Total Pages : 412 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!

Book Synopsis A Mathematical Journey to Relativity by : Wladimir-Georges Boskoff

Download or read book A Mathematical Journey to Relativity written by Wladimir-Georges Boskoff and published by Springer Nature. This book was released on 2020-06-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The generalization to non-Euclidean geometry is the following step to develop the language of Special and General Relativity. These theories are discussed starting from a full geometric point of view. Differential geometry is presented in the simplest way and it is applied to describe the physical world. The final result of this construction is deriving the Einstein field equations for gravitation and spacetime dynamics. Possible solutions, and their physical implications are also discussed: the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, the cosmological solutions like de Sitter, Friedmann-Lemaître-Robertson-Walker, and Gödel ones. Some current problems like dark energy are also scketched. The book is self-contained and includes details of all proofs. It provides solutions or tips to solve problems and exercises. It is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity.

A Mathematical Journey to Quantum Mechanics

Author : Salvatore Capozziello
Publisher : Springer Nature
ISBN 13 : 3030860981
Total Pages : 294 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis A Mathematical Journey to Quantum Mechanics by : Salvatore Capozziello

Download or read book A Mathematical Journey to Quantum Mechanics written by Salvatore Capozziello and published by Springer Nature. This book was released on 2021-09-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.

A Mathematical Journey to Relativity

Author : Wladimir-Georges Boskoff
Publisher : Springer Nature
ISBN 13 : 303154823X
Total Pages : 556 pages
Book Rating : 4.0/5 (315 download)

DOWNLOAD NOW!

Book Synopsis A Mathematical Journey to Relativity by : Wladimir-Georges Boskoff

Download or read book A Mathematical Journey to Relativity written by Wladimir-Georges Boskoff and published by Springer Nature. This book was released on with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Problems of General Relativity I

Author : Demetrios Christodoulou
Publisher : European Mathematical Society
ISBN 13 : 9783037190050
Total Pages : 164 pages
Book Rating : 4.1/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Problems of General Relativity I by : Demetrios Christodoulou

Download or read book Mathematical Problems of General Relativity I written by Demetrios Christodoulou and published by European Mathematical Society. This book was released on 2008 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity is a theory proposed by Einstein in 1915 as a unified theory of space, time and gravitation. It is based on and extends Newton's theory of gravitation as well as Newton's equations of motion. It is thus fundamentally rooted in classical mechanics. The theory can be seen as a development of Riemannian geometry, itself an extension of Gauss' intrinsic theory of curved surfaces in Euclidean space. The domain of application of the theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This is involved at a most elementary level in the very definition of the notion of hyperbolicity for an Euler-Lagrange system of partial differential equations. Another method, the study and systematic use of foliations by characteristic (null) hypersurfaces, is in the spirit of Roger Penrose's approach in his incompleteness theorem. The methods have applications beyond general relativity to problems in fluid mechanics and, more generally, to the mechanics and electrodynamics of continuous media. The book is intended for advanced students and researchers seeking an introduction to the methods and applications of general relativity.

Numerical Relativity

Author : Masaru Shibata
Publisher : World Scientific
ISBN 13 : 981469973X
Total Pages : 844 pages
Book Rating : 4.8/5 (146 download)

DOWNLOAD NOW!

Book Synopsis Numerical Relativity by : Masaru Shibata

Download or read book Numerical Relativity written by Masaru Shibata and published by World Scientific. This book was released on 2015-11-05 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes."--

The Road to Relativity

Author : Hanoch Gutfreund
Publisher : Princeton University Press
ISBN 13 : 0691175810
Total Pages : 257 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!

Book Synopsis The Road to Relativity by : Hanoch Gutfreund

Download or read book The Road to Relativity written by Hanoch Gutfreund and published by Princeton University Press. This book was released on 2017-05-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.

Semi-Riemannian Geometry

Author : Stephen C. Newman
Publisher : John Wiley & Sons
ISBN 13 : 1119517532
Total Pages : 656 pages
Book Rating : 4.1/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Semi-Riemannian Geometry by : Stephen C. Newman

Download or read book Semi-Riemannian Geometry written by Stephen C. Newman and published by John Wiley & Sons. This book was released on 2019-07-30 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language of General Relativity is an accessible exposition of the mathematics underlying general relativity. The book begins with background on linear and multilinear algebra, general topology, and real analysis. This is followed by material on the classical theory of curves and surfaces, expanded to include both the Lorentz and Euclidean signatures. The remainder of the book is devoted to a discussion of smooth manifolds, smooth manifolds with boundary, smooth manifolds with a connection, semi-Riemannian manifolds, and differential operators, culminating in applications to Maxwell’s equations and the Einstein tensor. Many worked examples and detailed diagrams are provided to aid understanding. This book will appeal especially to physics students wishing to learn more differential geometry than is usually provided in texts on general relativity.

An Equation That Changed the World

Author : Harald Fritzsch
Publisher : University of Chicago Press
ISBN 13 : 9780226265575
Total Pages : 318 pages
Book Rating : 4.2/5 (655 download)

DOWNLOAD NOW!

Book Synopsis An Equation That Changed the World by : Harald Fritzsch

Download or read book An Equation That Changed the World written by Harald Fritzsch and published by University of Chicago Press. This book was released on 1994-10-15 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the style of Galileo's Dialogue on the Two Chief World Systems, and addressed to readers without specialized knowledge in physics and higher mathematics, this book lets us listen in on an imaginary meeting of the scientists who created classical physics and modern relativity.

Relativity

Author : Antonia Hayes
Publisher : Simon and Schuster
ISBN 13 : 1501105094
Total Pages : 368 pages
Book Rating : 4.5/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Relativity by : Antonia Hayes

Download or read book Relativity written by Antonia Hayes and published by Simon and Schuster. This book was released on 2016-05-03 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A “beautifully written, heartbreaking” (S. J. Watson) debut novel about a gifted boy who discovers the truth about his past, his overprotective single mother who tries desperately to shield him from it, and the father he has never met who has unexpectedly returned. “Original, compassionate, cleverly plotted, and genuinely difficult to put down.” –Graeme Simsion, New York Times bestselling author of The Rosie Project Twelve-year-old Ethan Forsythe, an exceptionally talented boy obsessed with physics and astronomy, has been raised alone by his mother in Sydney, Australia. Claire, a former professional ballerina, has been a wonderful parent to Ethan, but he’s becoming increasingly curious about his father’s absence in his life. Claire is fiercely protective of her talented, vulnerable son—and of her own feelings. But when Ethan falls ill, tied to a tragic event that occurred during his infancy, her tightly-held world is split open. Thousands of miles away on the western coast of Australia, Mark is trying to forget about the events that tore his family apart, but an unexpected call forces him to confront his past and return home. When Ethan secretly intercepts a letter from Mark to Claire, he unleashes long-suppressed forces that—like gravity—pull the three together again, testing the limits of love and forgiveness. Told from the alternating points of view of Ethan and each of his parents, Relativity is a poetic and soul-searing exploration of unbreakable bonds, irreversible acts, the limits of science, and the magnitude of love.

Spacetime, Geometry and Gravitation

Author : Pankaj Sharan
Publisher : Springer Science & Business Media
ISBN 13 : 3764399716
Total Pages : 355 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!

Book Synopsis Spacetime, Geometry and Gravitation by : Pankaj Sharan

Download or read book Spacetime, Geometry and Gravitation written by Pankaj Sharan and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Explorations

Author : Alan F. Beardon
Publisher : Cambridge University Press
ISBN 13 : 131661056X
Total Pages : 129 pages
Book Rating : 4.3/5 (166 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Explorations by : Alan F. Beardon

Download or read book Mathematical Explorations written by Alan F. Beardon and published by Cambridge University Press. This book was released on 2016-10-13 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides readers with experience of working on difficult unsolved problems. No deep mathematical background is required.

Stochastic Numerics for Mathematical Physics

Author : Grigori N. Milstein
Publisher : Springer Nature
ISBN 13 : 3030820408
Total Pages : 754 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Numerics for Mathematical Physics by : Grigori N. Milstein

Download or read book Stochastic Numerics for Mathematical Physics written by Grigori N. Milstein and published by Springer Nature. This book was released on 2021-12-03 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004. The new topics, in particular, include mean-square and weak approximations in the case of nonglobally Lipschitz coefficients of Stochastic Differential Equations (SDEs) including the concept of rejecting trajectories; conditional probabilistic representations and their application to practical variance reduction using regression methods; multi-level Monte Carlo method; computing ergodic limits and additional classes of geometric integrators used in molecular dynamics; numerical methods for FBSDEs; approximation of parabolic SPDEs and nonlinear filtering problem based on the method of characteristics. SDEs have many applications in the natural sciences and in finance. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce the solution of multi-dimensional problems for partial differential equations to the integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. Many special schemes for SDEs are presented. In the second part of the book numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear, are constructed. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, applied probability, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.

The Mathematical Theory of Relativity

Author : Arthur Stanley Eddington
Publisher : Mjp Publishers
ISBN 13 : 9789355280022
Total Pages : 0 pages
Book Rating : 4.2/5 (8 download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Theory of Relativity by : Arthur Stanley Eddington

Download or read book The Mathematical Theory of Relativity written by Arthur Stanley Eddington and published by Mjp Publishers. This book was released on 2023-02-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Spacetime and Geometry

Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108488390
Total Pages : 529 pages
Book Rating : 4.1/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Spacetime and Geometry by : Sean M. Carroll

Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Elements of Numerical Relativity

Author : Carles Bona
Publisher : Springer Science & Business Media
ISBN 13 : 9783540257790
Total Pages : 168 pages
Book Rating : 4.2/5 (577 download)

DOWNLOAD NOW!

Book Synopsis Elements of Numerical Relativity by : Carles Bona

Download or read book Elements of Numerical Relativity written by Carles Bona and published by Springer Science & Business Media. This book was released on 2005-07-07 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.

Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity

Author : Judith R. Goodstein
Publisher : American Mathematical Soc.
ISBN 13 : 1470428466
Total Pages : pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity by : Judith R. Goodstein

Download or read book Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity written by Judith R. Goodstein and published by American Mathematical Soc.. This book was released on 2018-07-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first decade of the twentieth century as Albert Einstein began formulating a revolutionary theory of gravity, the Italian mathematician Gregorio Ricci was entering the later stages of what appeared to be a productive if not particularly memorable career, devoted largely to what his colleagues regarded as the dogged development of a mathematical language he called the absolute differential calculus. In 1912, the work of these two dedicated scientists would intersect—and physics and mathematics would never be the same. Einstein's Italian Mathematicians chronicles the lives and intellectual contributions of Ricci and his brilliant student Tullio Levi-Civita, including letters, interviews, memoranda, and other personal and professional papers, to tell the remarkable, little-known story of how two Italian academicians, of widely divergent backgrounds and temperaments, came to provide the indispensable mathematical foundation—today known as the tensor calculus—for general relativity.

Our Mathematical Universe

Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

DOWNLOAD NOW!

Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.