A Mathematical Journey To Relativity PDF Download
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| Author | : Wladimir-Georges Boskoff |
| Publisher | : Springer Nature |
| Total Pages | : 412 |
| Release | : 2020-06-01 |
| Genre | : Science |
| ISBN | : 3030478947 |
Download A Mathematical Journey to Relativity Book in PDF, ePub and Kindle
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.
| Author | : Salvatore Capozziello |
| Publisher | : Springer Nature |
| Total Pages | : 294 |
| Release | : 2021-09-27 |
| Genre | : Science |
| ISBN | : 3030860981 |
Download A Mathematical Journey to Quantum Mechanics Book in PDF, ePub and Kindle
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.
| Author | : Jose Natario |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 133 |
| Release | : 2011-07-30 |
| Genre | : Science |
| ISBN | : 3642214525 |
Download General Relativity Without Calculus Book in PDF, ePub and Kindle
“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.
| Author | : Wladimir-Georges Boskoff |
| Publisher | : Springer Nature |
| Total Pages | : 556 |
| Release | : |
| Genre | : |
| ISBN | : 303154823X |
Download A Mathematical Journey to Relativity Book in PDF, ePub and Kindle
| Author | : Demetrios Christodoulou |
| Publisher | : European Mathematical Society |
| Total Pages | : 164 |
| Release | : 2008 |
| Genre | : Science |
| ISBN | : 9783037190050 |
Download Mathematical Problems of General Relativity I Book in PDF, ePub and Kindle
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.
| Author | : Hans J. Zweig |
| Publisher | : Edition Steinherz |
| Total Pages | : 140 |
| Release | : 2004 |
| Genre | : Science |
| ISBN | : |
Download Relativity Unraveled Book in PDF, ePub and Kindle
This book presents counterexamples for both Special Relativity and General Relativity Theory. It supports these examples by examining the fallacies and contradictions in Einstein's arguments. it then goes on to derive a new formula for the Doppler effect for light, showing the symmetry of the effect without resorting to Special Relativity. The consquences for cosmology, and for our vision of the universe, are discussed. The meaning of recent data for type 1A supernovae must be reinterpreted. The result is a younger, more compact universe than currently envisioned.
| Author | : Masaru Shibata |
| Publisher | : World Scientific |
| Total Pages | : 844 |
| Release | : 2015-11-05 |
| Genre | : Science |
| ISBN | : 981469973X |
Download Numerical Relativity Book in PDF, ePub and Kindle
"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."--
| Author | : Hanoch Gutfreund |
| Publisher | : Princeton University Press |
| Total Pages | : 257 |
| Release | : 2017-05-09 |
| Genre | : Science |
| ISBN | : 0691175810 |
Download The Road to Relativity Book in PDF, ePub and Kindle
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.
| Author | : Stephen C. Newman |
| Publisher | : John Wiley & Sons |
| Total Pages | : 656 |
| Release | : 2019-07-30 |
| Genre | : Mathematics |
| ISBN | : 1119517532 |
Download Semi-Riemannian Geometry Book in PDF, ePub and Kindle
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.
| Author | : Valeria Ferrari |
| Publisher | : CRC Press |
| Total Pages | : 494 |
| Release | : 2020-12-21 |
| Genre | : Science |
| ISBN | : 0429957807 |
Download General Relativity and its Applications Book in PDF, ePub and Kindle
• Provides a self-contained and consistent treatment of the subject that does not require advanced previous knowledge of the field. • Explores the subject with a new focus on gravitational waves and astrophysical relativity, unlike current introductory textbooks. • Fully up-to-date, containing the latest developments and discoveries in the field.
