Classical Mechanics

From Newton to Einstein: A Modern Introduction

Author: Martin W. McCall

Publisher: John Wiley & Sons

ISBN: 1119956129

Category: Science

Page: 250

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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
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Newtonian Mechanics for Undergraduates

Author: Vijay Tymms

Publisher: World Scientific Publishing Company

ISBN: 1786340100

Category: Science

Page: 268

View: 1933

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Newtonian mechanics is a cornerstone topic in physics. Regardless of the path an aspiring physicist takes, an intimate and intuitive understanding of how objects behave within Newton's law of motion is essential. Yet the transition from high school physics to university level physics can be — and should be — difficult. The aim of this book is to teach Newtonian mechanics suitable for the first two years of university study. Using carefully chosen and detailed examples to expose areas of frequent misunderstanding, the first two thirds of the book introduces material familiar to high school students from the ground up, with a more mature point of view. The final third of the book contains new material, introducing detailed sections on the rotation of rigid objects and providing an insight into subtleties that can be troubling to the first-time learner. Tabletop physics demonstrations are suggested to assist in understanding the worked examples. As a teacher and lecturer of physics with experience at both high school and university level, Professor Vijay Tymms offers a lucid and sensitive presentation of Newtonian mechanics to help make the step from high school to university as smooth as possible.
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Evolution of Physics

Author: Albert Einstein,Leopold Infeld

Publisher: Simon and Schuster

ISBN: 0671201565

Category: Reference

Page: 302

View: 9807

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Clear and concise explanations of the development of theories explaining physical phenomena.
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An Introduction to Mechanics

Author: Daniel Kleppner,Robert J. Kolenkow

Publisher: Cambridge University Press

ISBN: 0521198216

Category: Science

Page: 546

View: 8311

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A classic textbook on the principles of Newtonian mechanics for undergraduate students, accompanied by numerous worked examples and problems.
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Classical Mechanics and Relativity

Author: H. J. W. Mller-Kirsten

Publisher: World Scientific

ISBN: 9812832513

Category: Science

Page: 562

View: 7339

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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.
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Einstein Gravity in a Nutshell

Author: A. Zee

Publisher: Princeton University Press

ISBN: 1400847451

Category: Science

Page: 888

View: 7462

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An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)
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A Modern Approach to Classical Mechanics

Author: Harald Iro

Publisher: World Scientific

ISBN: 9789812382139

Category: Science

Page: 442

View: 7999

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The approach to classical mechanics adopted in this book includes and stresses recent developments in nonlinear dynamical systems. The concepts necessary to formulate and understand chaotic behavior are presented. Besides the conventional topics (such as oscillators, the Kepler problem, spinning tops and the two centers problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the H‚non-Heiles system, motion in a Coulomb force field together with a homogeneous magnetic field, the restricted three-body problem) are also discussed. The question of the integrability (of planetary motion, for example) leads finally to the KAM-theorem.This book is the result of lectures on 'Classical Mechanics' as the first part of a basic course in Theoretical Physics. These lectures were given by the author to undergraduate students in their second year at the Johannes Kepler University Linz, Austria. The book is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.
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Einstein's Theory of Relativity

Author: Max Born

Publisher: Courier Corporation

ISBN: 0486142124

Category: Science

Page: 400

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Semi-technical account includes a review of classical physics (origin of space and time measurements, Ptolemaic and Copernican astronomy, laws of motion, inertia, more) and of Einstein's theories of relativity.
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Gravity

Author: Timothy Clifton

Publisher: Oxford University Press

ISBN: 0198729146

Category: Science

Page: 144

View: 5914

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In this Very Short Introduction Timothy Clifton looks at the development of our understanding of gravity since the early observations of Kepler and Newtonian theory. He discusses Einstein's theory of gravity, which now supplants Newton's, showing how it allows us to understand why the frequency of light changes as it passes through a gravitational field, why GPS satellites need their clocks corrected as they orbit the Earth, and why the orbits of distant neutron stars speed up. Today, almost 100 years after Einstein published his theory of gravity, we have even detected the waves of gravitational radiation that he predicted. Clifton concludes by considering the testing and application of general relativity in astrophysics and cosmology, and looks at dark energy and efforts such as string theory to combine gravity with quantum mechanics.
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The History of Physics

Author: J. L. Heilbron

Publisher: Oxford University Press

ISBN: 019968412X

Category: Science

Page: 184

View: 3031

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How does the physics we know today - a highly professionalized enterprise, inextricably linked to government and industry - link back to its origins as a liberal art in Ancient Greece? What is the path that leads from the old philosophy of nature and its concern with humankind's place in the universe to modern massive international projects that hunt down fundamental particles and industrial laboratories that manufacture marvels? This Very Short Introduction introduces us to Islamic astronomers and mathematicians calculating the size of the earth while their caliphs conquered much of it; to medieval scholar-theologians investigating light; to Galileo, Copernicus, Kepler, and Newton, measuring, and trying to explain, the universe. We visit the "House of Wisdom" in 9th-century Baghdad; Europe's first universities; the courts of the Renaissance; the Scientific Revolution and the academies of the 18th century; and the increasingly specialized world of 20th and 21st century science. Highlighting the shifting relationship between physics, philosophy, mathematics, and technology - and the implications for humankind's self-understanding - Heilbron explores the changing place and purpose of physics in the cultures and societies that have nurtured it over the centuries. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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