Author: Harald J W Muller-kirsten
Publisher: World Scientific
ISBN: 9811287139
Category : Science
Languages : en
Pages : 588
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Book Description
The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added.
Author: Muller-kirsten Harald J W
Publisher: World Scientific Publishing Company
ISBN: 9813101261
Category : Science
Languages : en
Pages : 576
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Book Description
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.
Author: H. J. W. MĀller-Kirsten
Publisher: World Scientific
ISBN: 9812832513
Category : Science
Languages : en
Pages : 575
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Book Description
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.
Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 0387218513
Category : Science
Languages : en
Pages : 503
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Book Description
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.
Author: Joel Franklin
Publisher: Cambridge University Press
ISBN: 113948902X
Category : Science
Languages : en
Pages :
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Book Description
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.
Author: Paul Marmet
Publisher: Gloucester, Ont. : Newton Physics Books
ISBN:
Category : Lorentz transformations
Languages : en
Pages : 206
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Book Description
Indeed, according to Straumann, the: "general conservation law of energy and momentum does not exist in general relativity". Twentieth century science moved backward in accepting again the magical creation of matter or energy from nothing, even if this is hidden in complicated mathematics. Contrary to what Einstein did, all the demonstrations in this book are compatible with the principle of mass-energy and momentum conservation. Using classical mechanics, we demonstrate that length contraction is a real physical phenomenon. We examine how this leads to the Lorentz equations. Then, we show how classical principles are sufficient to explain the advance of the perihelion of Mercury and derive Einstein's equation. The fundamental reason for this advance is illustrated with a classical apparatus. We also study the Lorentz transformations in three dimensions and the Doppler phenomenon.
Author: Moataz Emam
Publisher: Oxford University Press, USA
ISBN: 0198864892
Category : Science
Languages : en
Pages : 403
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Book Description
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.
Author: Oliver Johns
Publisher: OUP Oxford
ISBN: 0191001627
Category : Science
Languages : en
Pages : 653
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Book Description
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.
Author: H.C. Corben
Publisher: Courier Corporation
ISBN: 0486140784
Category : Science
Languages : en
Pages : 417
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Book Description
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.
Author: Martin W. McCall
Publisher: John Wiley & Sons
ISBN: 047071574X
Category : Science
Languages : en
Pages : 256
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Book Description
This new edition of Classical Mechanics, aimed at undergraduate physics and engineering students, presents ina user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits and rigid body dynamics - are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall
