Classical Mechanics And Relativity

Classical Mechanics And Relativity

Author: Harald J W Muller-kirsten

Publisher: World Scientific Publishing Company

Published: 2008-08-21

Total Pages: 575

ISBN-13: 9813101261

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This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton's potential, Kepler motion and curvature. The Lagrange and Hamilton formalisms are treated in detail, and extensive applications to central forces and rigid bodies are presented. After consideration of the motivation of relativity, the essential tensor calculus is developed, and thereafter Einstein's equation is solved for special cases with explicit presentation of calculational steps. The combined treatment of classical mechanics and relativity thus enables the reader to see the connection between Newton's gravitational potential, Kepler motion and Einstein's corrections, as well as diverse aspects of mechanics. The text addresses students and others pursuing a course in classical mechanics, as well as those interested in a detailed course on relativity.


Classical Mechanics and Relativity

Classical Mechanics and Relativity

Author: H. J. W. Mller-Kirsten

Publisher: World Scientific

Published: 2008

Total Pages: 575

ISBN-13: 9812832513

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This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton's potential, Kepler motion and curvature. The Lagrange and Hamilton formalisms are treated in detail, and extensive applications to central forces and rigid bodies are presented. After consideration of the motivation of relativity, the essential tensor calculus is developed, and thereafter Einstein's equation is solved for special cases with explicit presentation of calculational steps. The combined treatment of classical mechanics and relativity thus enables the reader to see the connection between Newton's gravitational potential, Kepler motion and Einstein's corrections, as well as diverse aspects of mechanics. The text addresses students and others pursuing a course in classical mechanics, as well as those interested in a detailed course on relativity.


Classical Mechanics

Classical Mechanics

Author: Walter Greiner

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 503

ISBN-13: 0387218513

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Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.


Analytical Mechanics for Relativity and Quantum Mechanics

Analytical Mechanics for Relativity and Quantum Mechanics

Author: Oliver Johns

Publisher: OUP Oxford

Published: 2011-05-19

Total Pages: 653

ISBN-13: 0191001627

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An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.


Classical Mechanics

Classical Mechanics

Author: H.C. Corben

Publisher: Courier Corporation

Published: 2013-01-17

Total Pages: 417

ISBN-13: 0486140784

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Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.


Conceptual Evolution of Newtonian and Relativistic Mechanics

Conceptual Evolution of Newtonian and Relativistic Mechanics

Author: Amitabha Ghosh

Publisher: Springer

Published: 2017-10-30

Total Pages: 134

ISBN-13: 9811062536

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This book provides an introduction to Newtonian and relativistic mechanics. Unlike other books on the topic, which generally take a 'top-down' approach, it follows a novel system to show how the concepts of the 'science of motion' evolved through a veritable jungle of intermediate ideas and concepts. Starting with Aristotelian philosophy, the text gradually unravels how the human mind slowly progressed towards the fundamental ideas of inertia physics. The concepts that now appear so obvious to even a high school student took great intellectuals more than a millennium to clarify. The book explores the evolution of these concepts through the history of science. After a comprehensive overview of the discovery of dynamics, it explores fundamental issues of the properties of space and time and their relation with the laws of motion. It also explores the concepts of spatio-temporal locality and fields, and offers a philosophical discussion of relative motion versus absolute motion, as well as the concept of an absolute space. Furthermore, it presents Galilean transformation and the principle of relativity, inadequacy of Galilean relativity and emergence of the spatial theory of relativity with an emphasis on physical understanding, as well as the debate over relative motion versus absolute motion and Mach's principle followed by the principle of equivalence. The natural follow-on to this section is the physical foundations of general theory of relativity. Lastly, the book ends with some new issues and possibilities regarding further modifications of the laws of motion leading to the solution of a number of fundamental issues closely connected with the characteristics of the cosmos. It is a valuable resource for undergraduate students of physics, engineering, mathematics, and related disciplines. It is also suitable for interdisciplinary coursework and introductory reading outside the classroom.


Advanced Mechanics and General Relativity

Advanced Mechanics and General Relativity

Author: Joel Franklin

Publisher: Cambridge University Press

Published: 2010-07-08

Total Pages:

ISBN-13: 113948902X

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Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.


Covariant Physics

Covariant Physics

Author: Moataz Emam

Publisher: Oxford University Press, USA

Published: 2021-02-21

Total Pages: 403

ISBN-13: 0198864892

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A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.


Classical and Relativistic Mechanics

Classical and Relativistic Mechanics

Author: David Agmon

Publisher: World Scientific Publishing Company

Published: 2009

Total Pages: 0

ISBN-13: 9789812836700

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This book provides a calculus-based perspective on classical mechanics and the theory of relativity. Unlike most conventional textbooks, the discussion on theory is pared down to a minimum in favor of detailed, guided solutions of problems illustrating salient points, subtleties and principles. By working through the 900 carefully selected problems, the serious learner will hence be stimulated, challenged and enlightened. Great emphasis is placed on the pedagogical value of solving problems in a number of ways, on the careful and detailed analysis of problems, on dimensional considerations, and on basic principles underlying every topic treated. The book is aimed at first-year undergraduate students in physics and engineering. Advanced Placement students in high schools will also find this book rewarding and challenging. Instructors too will be able to recharge their batteries and refresh their reservoir of problems for recitation classes, or delve into it for their own amusement and edification.


Special Relativity and Classical Field Theory

Special Relativity and Classical Field Theory

Author: Leonard Susskind

Publisher: Basic Books

Published: 2017-09-26

Total Pages: 295

ISBN-13: 0465093353

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The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.