The Physical And Mathematical Foundations Of The Theory Of Relativity PDF Download
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Author | : Antonio Romano |
Publisher | : Springer Nature |
Total Pages | : 496 |
Release | : 2019-09-25 |
Genre | : Science |
ISBN | : 3030272370 |
Download The Physical and Mathematical Foundations of the Theory of Relativity Book in PDF, ePub and Kindle
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
Author | : Michael Friedman |
Publisher | : Princeton University Press |
Total Pages | : 403 |
Release | : 2014-07-14 |
Genre | : Science |
ISBN | : 1400855128 |
Download Foundations of Space-Time Theories Book in PDF, ePub and Kindle
This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Marcus Kriele |
Publisher | : Springer Science & Business Media |
Total Pages | : 444 |
Release | : 2003-07-01 |
Genre | : Science |
ISBN | : 3540483543 |
Download Spacetime Book in PDF, ePub and Kindle
One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.
Author | : David B. Malament |
Publisher | : University of Chicago Press |
Total Pages | : 363 |
Release | : 2012-04-02 |
Genre | : Science |
ISBN | : 0226502473 |
Download Topics in the Foundations of General Relativity and Newtonian Gravitation Theory Book in PDF, ePub and Kindle
In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
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 | : Rainer Oloff |
Publisher | : Springer Nature |
Total Pages | : 283 |
Release | : 2023-04-21 |
Genre | : Science |
ISBN | : 3031161394 |
Download The Geometry of Spacetime Book in PDF, ePub and Kindle
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
Author | : Tilman Sauer |
Publisher | : Springer Science & Business Media |
Total Pages | : 803 |
Release | : 2009-08-06 |
Genre | : Mathematics |
ISBN | : 3540682422 |
Download David Hilbert's Lectures on the Foundations of Physics 1915-1927 Book in PDF, ePub and Kindle
These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.
Author | : Costas Christodoulides |
Publisher | : Springer |
Total Pages | : 480 |
Release | : 2016-02-09 |
Genre | : Science |
ISBN | : 3319252747 |
Download The Special Theory of Relativity Book in PDF, ePub and Kindle
This book offers a comprehensive, university-level introduction to Einstein’s Special Theory of Relativity. In addition to the purely theoretical aspect, emphasis is also given to its historical development as well as to the experiments that preceded the theory and those performed in order to test its validity.The main body of the book consists of chapters on Relativistic Kinematics and Dynamics and their applications, Optics and Electromagnetism. These could be covered in a one-semester course. A more advanced course might include the subjects examined in the other chapters of the book and its appendices.As a textbook, it has some unique characteristics: It provides detailed proofs of the theorems, offers abundant figures and discusses numerous examples. It also includes a number of problems for readers to solve, the complete solutions of which are given at the end of the book.It is primarily intended for use by university students of physics, mathematics and engineering. However, as the mathematics needed is of an upper-intermediate level, the book will also appeal to a more general readership.
Author | : A. N. Whitehead |
Publisher | : Cambridge University Press |
Total Pages | : 205 |
Release | : 2011-06-16 |
Genre | : Science |
ISBN | : 1107600529 |
Download The Principle of Relativity Book in PDF, ePub and Kindle
This 1922 book proposes an alternative theory of relativity deducing that 'our experience requires and exhibits a basis in uniformity'.
Author | : Arthur Stanley Eddington |
Publisher | : Mjp Publishers |
Total Pages | : 0 |
Release | : 2023-02-15 |
Genre | : Fiction |
ISBN | : 9789355280022 |
Download The Mathematical Theory of Relativity Book in PDF, ePub and Kindle
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