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Author : Norman Gray
Publisher : Cambridge University Press
Page : 165 pages
File Size : 51,5 Mb
Release : 2019-01-03
Category : Science
ISBN : 9781107183469
Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations
Author : Norman Gray
Publisher : Cambridge University Press
Page : 231 pages
File Size : 44,7 Mb
Release : 2022-02-03
Category : Science
ISBN : 9781108834094
A compact yet informative exploration of Special Relativity and its core ideas, also providing a preparatory route into General Relativity.
Author : Robert E Kennedy
Publisher : Oxford University Press
Page : 326 pages
File Size : 46,7 Mb
Release : 2012-01-19
Category : Science
ISBN : 9780199694037
In 1905 Albert Einstein produced breakthrough work in three major areas of physics (atoms and Brownian motion, quanta, and the special theory of relativity), followed, in 1916, by the general theory of relativity. This book develops the detail of the papers, including the mathematics, to guide the reader in working through them.
Author : Robert B. Scott
Publisher : Cambridge University Press
Page : 321 pages
File Size : 41,6 Mb
Release : 2016
Category : Astrophysics
ISBN : 9781107037915
This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.
Author : Tatsu Takeuchi
Publisher : Cambridge University Press
Page : 268 pages
File Size : 54,7 Mb
Release : 2010-09-09
Category : Science
ISBN : 9780521141000
Presents a step-by-step explanation of Einstein's Special Theory of Relativity through a series of diagrams rather than equations.
Author : Jose Natario
Publisher : Springer Science & Business Media
Page : 128 pages
File Size : 52,9 Mb
Release : 2011-08-01
Category : Science
ISBN : 3642214525
“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 : Daniel A. Fleisch
Publisher : Cambridge University Press
Page : 206 pages
File Size : 40,7 Mb
Release : 2011-09-22
Category : Science
ISBN : 0521171903
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Author : Daniel A. Fleisch
Publisher : Cambridge University Press
Page : 237 pages
File Size : 40,6 Mb
Release : 2020-02-20
Category : Mathematics
ISBN : 9781108834735
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
Author : Thomas A. Moore
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 2015-03-06
Category : Electronic
ISBN : 1320894399
Author : Johann Rafelski
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 2022
Category : Electronic
ISBN : 3030543536
This book presents Special Relativity in a language accessible to students while avoiding the burdens of geometry, tensor calculus, space-time symmetries, and the introduction of four vectors. The search for clarity in the fundamental questions about Relativity, the discussion of historical developments before and after 1905, the strong connection to current research topics, many solved examples and problems, and illustrations of the material in colloquial discussions are the most significant and original assets of this book. Importantly for first-time students, Special Relativity is presented such that nothing needs to be called paradoxical or apparent; everything is explained. The content of this volume develops and builds on the book Relativity Matters (Springer, 2017). However, this presentation of Special Relativity does not require 4-vector tools. The relevant material has been extended and reformulated, with additional examples and clarifications. This introduction of Special Relativity offers conceptual insights reaching well beyond the usual method of teaching relativity. It considers relevant developments after the discovery of General Relativity (which itself is not presented), and advances the reader into contemporary research fields. This presentation of Special Relativity is connected to present day research topics in particle, nuclear, and high intensity pulsed laser physics and is complemented by the current cosmological perspective. The conceptual reach of Special Relativity today extends significantly further compared even to a few decades ago. As the book progresses, the qualitative and historical introduction turns into a textbook-style presentation with many detailed results derived in an explicit manner. The reader reaching the end of this text needs knowledge of classical mechanics, a good command of elementary algebra, basic knowledge of calculus, and introductory know-how of electromagnetism.
Author : Don S. Lemons
Publisher : Cambridge University Press
Page : 200 pages
File Size : 41,9 Mb
Release : 2013-08-29
Category : Science
ISBN : 9781107470040
Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.
Author : James A. Foster,J. David Nightingale
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 54,8 Mb
Release : 2010-04-30
Category : Science
ISBN : 9780387275833
Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.
Author : Mark Fox
Publisher : Unknown
Page : 295 pages
File Size : 40,7 Mb
Release : 2018-06-14
Category : Science
ISBN : 9781107188730
A concise overview of the fundamental concepts and applications of atomic physics for students including examples, problems, and diagrams of key concepts.
Author : Daniel Fleisch
Publisher : Cambridge University Press
Page : 128 pages
File Size : 45,7 Mb
Release : 2008-01-10
Category : Science
ISBN : 1139468472
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 52,7 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X
This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.