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Classical Mechanics: A Modern Perspective
Vernon Barger , and Martin Olsson Manufacturer: McGraw-Hill Companies ProductGroup: Book Binding: Hardcover Similar Items: ASIN: 0070037345 |
Book Description
An outstanding volume in the McGraw-Hill series in pure and applied physics, Barger/ Olsson provides solid coverage of the principles of mechanics in a well-written, accessible style. Covering linear motion, energy conservation, Lagrange's Equations, Momentum Conservation and moving all the way through to Non-Linear Mechanics and Relativity, the text is comprehensive and appropriate for the two-semester course.Customer Reviews:
Short but has some interesting examples.......2002-03-16
Chapter one is an introduction to motion in one dimension. After a brief review of Newton's laws, the authors solve some neat problems dealing with damping forces, one being the frictional force on a drag racer, and the other with aerodynamic drag on a parachute. They also treat the undamped and damped harmonic oscillator, and the discussion is very standard. The authors are careful to point out that some force laws are too complicated to be solved analytically, but that computing methods can be used to solve the cases that are not. Computational approaches are now the rule rather than the exception in problems in mechanics, and this trend will continue in the future.
After a short discussion of energy conservation, the authors introduce motion in three dimensions and give a fairly detailed overview of vector notation. Their approach to tensors though is kind of antiquated, for it motivates them via the outer product, which is reminiscent of the dyadic approach that is currently "out of fashion". The authors also discuss the simple pendulum, but do not of course introduce the elliptic curve solutions that accompany this problem. Such a treatment, however fascinating, would drive this book to a height that would make it inaccessible to the audience of students it addresses. Coupled harmonic oscillators are solved using the normal mode approach.
Lagrangian mechanics is introduced in chapter 3, but not from the standpoint of variational calculus at first. Instead the authors choose to present this formulation via generalized forces. They include a discussion of constraints, and give as an example the simple pendulum with a moving support. Only later do they give the Lagrangian formulation via variational calculus, and do so rather hurriedly. Hamilton's equations are derived, and it is shown (again briefly) how Legendre transformations enter into the formalism of Hamiltonian mechanics.
Conservation principles are then thought of as fundamental in the rest of the book, and the authors use momentum conservation to discuss elastic and inelastic collisions in chapter 4. Angular momentum conservation is then used in chapter 5 to discuss central forces and planetary motion. Kepler's laws are also discussed, and Rutherford scattering is discussed. All of the discussion is pretty standard and can be found in most textbooks on classical mechanics.
Rigid body mechanics makes its appearance in chapter 6, wherein the authors discuss the rotational equations of motion of many-particle systems and rigid bodies. A very brief discussion of gyroscopic mechanics is given, but the authors make up for this by explaining the motion of boomerangs. The discussion is fun to read and should satisfy the curious reader as to why a boomerang returns. And, after a discussion of how to calculate the moment of inertia, the authors give a neat introduction to the physics of billiards and the superball. The latter is a popular physics demonstration and the authors show how its motion differs from an ordinary smooth ball.
The difficult (and controversial) topic of accelerated coordinate systems is treated in chapter 7. The four famous "fictitious" forces are introduced, and to develop the reader's intution on these, the authors give a nice example dealing with the manufacture of telescope mirrors. The casting of the mirrors is a neat illustration of the famous Newtonian water pail experiment. The motion of the Foucault pendulum is also discussed briefly. Then after a discussion of principal axes and Euler's equations, the authors give another neat example, this time dealing with the motion of tennis rackets, which illustrates the motion of a rigid body with unequal principal moments of inertia. The physics of tops is then discussed, and in a manner which makes the underlying physics more intuitive for the reader. The authors make an attempt to understand the motion of the famous tippie-top, but don't really do so. The tippie-top is another popular demonstration in the classroom but its physics has eluded the best attempts, and this treatment is no exception. The flip times that are calculated are not in agreement at all with what is observed in the demonstration.
Chapter 8 is an overview of gravitational physics, and the authors show the effects of a body moving in a non-uniform gravitational field, with an example dealing with the tides. Interestingly, the authors attempt to introduce the general theory of relativity, and do so more at a level of elementary mathematics and arm-waving arguments, but the treatment is suitable at this level. The authors show the difference between the orbits predicted by general relativity and the Newtonian theory, i.e. the famous perihelion advance.
A brief overview of Newtonian cosmology is given in chapter 9, wherein the authors discuss the expansion of the universe and the cosmic redshift. After proving the virial theorem, they discuss the effects of dark matter on the rotations of spiral galaxies and groups of galaxies, which is currently a very hot topic in astrophysics.
The special theory of relativity is treated in chapter 10, and the discussion is very standard. Readers are introduced to relativistic mechanics and some of the counterintuitive physics of the theory.
The last chapter of the book is an introduction to non-linear dynamics and chaos. It is defined as sensitive dependence on initial conditions, although this is not a strong enough condition. The Duffing oscillator is offered as an example of chaotic behavior and the transition to chaos is studied as a function of the driving frequency. This brings up concepts from bifurcation theory, such as the idea of a strange attractor. Numerical analysis plays the dominant role in these theories.
Not good for the new-bee but a fair reference for the vet.......2000-08-08
Needs more examples.......1999-09-01
This book has too many errors.......1999-02-11
Good, concise, compact and modern book........1998-07-19
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Analytical and numerical methods of celestial mechanics, (Modern analytic and computational methods in science and mathematics)
G. A Chebotarev Manufacturer: American Elsevier Pub. Co ProductGroup: Book Binding: Unknown Binding ASIN: B0006BOHFM |
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
Bozidar Z. Vujanovic , and Teodor M. Atanackovic Manufacturer: Birkhäuser Boston ProductGroup: Book Binding: Hardcover ASIN: 0817633995 |
Book Description
This book is devoted to the basic variational principles of mechanics, namely the Lagrange--D’Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the basis of contemporary analytical mechanics, and from them the body of classical dynamics can be deductively derived as a part of physical theory.
In recent years variational techniques have evolved as powerful tools for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems, as is emphasized in this book. Presented here are a wide range of possibilities for applying variational principles to numerous problems in analytical mechanics, including the Noether Theorem for finding conservation laws of conservative and nonconservative dynamical systems, the application of the Hamilton--Jacobi and field methods suitable for nonconservative dynamical systems, the variational approach to modern optimal control theory, and the application of variational methods to the stability and optimization of elastic rod theory.
Mathematical prerequisites are kept to a minimum, and the exposition is intended to be suggestive rather than mathematically rigorous. Each chapter begins with widely understood mathematical principles and unfolds systematically toward more advanced topics. Examples and novel applications are presented throughout to clarify and enhance the theory.
An Introduction to Modern Variational Techniques in Mechanics and Engineering will serve a broad audience of students, researchers, and professionals in analytical mechanics, applied variational calculus, optimal control, physics, and mechanical and aerospace engineering. The book may be used in graduate and senior undergraduate dynamics courses in engineering, applied mathematics, and physics departments, or it may also serve as a self-study reference text.
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Modern Analytic Mechanics
Claudio Pellegrini , and Richard K. Cooper Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 0306459582 |
Book Description
This authored textbook is aimed at upper-level students in physics, engineering, and other sciences. Its subject refers to the classical mechanics of today and is essential to the training of physicists as well as being useful in a variety of industrial and commercial applications having to do with the design of moving equipment in the automobile, aerospace, and control devices industry. The authors have important exercises which are to be done using a computer to solve linear and nonlinear problems and to have a graphical representation of results. An extensive Appendix on computer methods from Fortran and Mathcad enhance the appeal of the book to meet current needs.
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A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge Texts in Applied Mathematics)
R. S. Johnson Manufacturer: Cambridge University Press ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 0521591724 |
Book Description
For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory. This sets the stage for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and make this an ideal text for a beginning graduate course on water waves.
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Modern mechanics;: A vectorial approach
Christopher Albert Leslie Wragg Manufacturer: Edward Arnold ProductGroup: Book Binding: Unknown Binding ASIN: 0713123710 |
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New Advances in Celestial Mechanics and Hamiltonian Systems (Modern Approaches in Geophysics)
Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 0306481170 |
Book Description
The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.
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Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems (Modern Approaches in Geophysics)
M. Kelbert , and I.A. Sazonov Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 0792339282 |
Book Description
This book represents a comprehensive treatment of both classical and modern problems of pulse propagation. The authors provide a physical insight in the intriguing problem of pulse propagation in non-equilibrium media (unstable or admitting attenuation). A refined analysis of the acoustic-gravity waves generation in a compressible stratified fluid is also presented. The solution describes sophisticated wave pictures near the front of the perturbation where previously known methods fail. Finally a detailed account of a relatively new field of investigation related to continuous spectrum waves in shear flows is given. Audience: This volume will be of use to researchers and scientists with a background in wave motion, fluid mechanics and calculus including elementary aspects of asymptotic methods. A major source of information for academians specialized in acoustics, hydrodynamics and geophysics.
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Quasilinearization and Nonlinear Problems in Fluid and Orbital Mechanics (Modern analytic and computational methods in science and mathematics)
J.R. Radbill , and G.A. McCue Manufacturer: Elsevier ProductGroup: Book Binding: Hardcover ASIN: 0444000607 |
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Wave Phenomena: Modern Theory and Applications (North Holland Mathematics Studies, Vol 97)
C. Rogers Manufacturer: Elsevier Science Ltd ProductGroup: Book Binding: Paperback ASIN: 0444875867 |
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Lindy Blues: The Big Scoop (Lindy Blues)
Dorian Cirrone Manufacturer: Marshall Cavendish Children's Books ProductGroup: Book Binding: Hardcover Similar Items: ASIN: 0761453237 |
Book Description
Lindy Blues solves the mystery of the disappearing ice-cream shop
Lindy Blues, Your Nose for News, is stumped when she hears about the missing ice-cream shop. How could "Mr. Hoop's Super Scoop" go missing and then mysteriously reappear? But the news tip came from one of Lindy's best news sources, Joshua and Amy Becker, and Lindy's news sources are very important to her. Plus, Lindy knows the Beckers would never lie about ice cream. As Lindy sniffs around the neighborhood for clues, she realizes that this might be her toughest scoop yet! Time is running out for her Saturday night news program, and all Lindy has is a story about flowers and their biological clocks. Will she crack the case of the missing ice-cream store in time for the LBN newscast? Tune in to find out!
Customer Reviews:
Kids seeking easy reads above the picture book level will find the plots involving........2006-10-08
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The Big Scoop (Harlequin Flipside)
Sandra Kelly Manufacturer: Harlequin ProductGroup: Book Binding: Mass Market Paperback Similar Items:
ASIN: 0373442041 |
Customer Reviews:
enjoyable contemporary frolic .......2004-11-14
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Travis and Scoop's Big Race
Sarah Willson Manufacturer: Simon Spotlight ProductGroup: Book Binding: Paperback ASIN: 0689853025 |
Book Description
ON YOUR MARK...GET SET...Scoop is racing past Travis toward the finish line, but not if Spud has anything to say about it. Look under the flaps to find out what tricks Spud is up to now!
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Big scoop: Gailey's got his trouble licked: with Georgia Tech on the verge of a breakout season, life is sweet--and it's fat-free.(College Football): An article from: The Sporting News
Matt Hayes Manufacturer: Sporting News Publishing Co. ProductGroup: Book Binding: Digital ASIN: B000AJQ1X6 Release Date: 2006-07-14 |
Book Description
This digital document is an article from The Sporting News, published by Sporting News Publishing Co. on April 15, 2005. The length of the article is 1358 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
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Dining in the big house.(PISTOLSMITHING: THE INSIDE SCOOP ON PISTOLSMITHING TECHNIQUES) : An article from: American Handgunner
Alex Hamilton Manufacturer: Publishers' Development Corporation ProductGroup: Book Binding: Digital ASIN: B000ALRFSO Release Date: 2005-07-25 |
Book Description
This digital document is an article from American Handgunner, published by Publishers' Development Corporation on July 1, 2005. The length of the article is 419 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
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IgoUgo Travel Report: Big Island: The Inside Scoop from Experienced Travelers
By IgoUgo Members Manufacturer: IgoUgo ProductGroup: Book Binding: Digital ASIN: B0000YHO4G Release Date: 2005-07-01 |
Book Description
On the Big Island of Hawaii, nature is writ large. Skiers zip down the world's tallest mountain (measured from sea level). Hikers watch the most active volcano on earth spew fireworks into the sky. Amazingly diverse in terrain and climate, the Big Island has immaculate beaches, misty rain forests, and stark plains of black lava. The world aboveground can look forbidding, but the world underwater is teeming with life. Divers and snorkelers find waters bustling with all manner of tropical sea life. If fishing is your game, Hawaii is the place to nab your trophy. Touring the island by car is an adventure in itself, revealing every possible kind of scenery, from snow to oozing lava. You'll also find Hawaiian history etched onto the island, quite literally: ancient rock carvings are more numerous here than on any other island, and never fail to fascinate visitors.IgoUgo Travel Report: Big Island is not your average travel guide. Every piece of advice found in these pages comes from regular travelers and locals-not paid professionals or PR people-which means pure, unfiltered opinions on what to see (and what to avoid) during your trip. You'll find first-hand details on attractions and day trips, along with restaurant, nightlife, and activity recommendations in all price ranges and for all interests. You'll also see our contributors' original photographs and insider tips on every page-no other travel guide can say that.
IgoUgo contributors hail from all over the globe and travel just about everywhere in between. These avid travelers share their adventures and snapshots in online journals at IgoUgo.com, the world's premier web-based travel community. Our 350,000+ members have written over 300,000 journal entries covering more than 4,000 destinations. IgoUgo's emphasis on personal, real-life travel experiences has garnered a Webby Award for "Top Travel Website" as well as accolades from Yahoo! Internet Life, which voted it "Best Travel Community."
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On the Big Island of Hawaii, nature is writ large. Skiers zip down the world's tallest mountain (measured from sea level). Hikers watch the most active volcano on earth spew fireworks into the sky. Amazingly diverse in terrain and climate, the Big Island has immaculate beaches, misty rain forests, and stark plains of black lava. The world aboveground can look forbidding, but the world underwater is teeming with life. Divers and snorkelers find waters bustling with all manner of tropical sea life. If fishing is your game, Hawaii is the place to nab your trophy. Touring the island by car is an adventure in itself, revealing every possible kind of scenery, from snow to oozing lava. You'll also find Hawaiian history etched onto the island, quite literally: ancient rock carvings are more numerous here than on any other island, and never fail to fascinate visitors.IgoUgo Travel Report: Big Island is not your average travel guide. Every piece of advice found in these pages comes from regular travelers and locals-not paid professionals or PR people-which means pure, unfiltered opinions on what to see (and what to avoid) during your trip. You'll find first-hand details on attractions and day trips, along with restaurant, nightlife, and activity recommendations in all price ranges and for all interests. You'll also see our contributors' original photographs and insider tips on every page-no other travel guide can say that.
IgoUgo contributors hail from all over the globe and travel just about everywhere in between. These avid travelers share their adventures and snapshots in online journals at IgoUgo.com, the world's premier web-based travel community. Our 100,000+ members have written over 60,000 journal entries covering more than 4,000 destinations. IgoUgo's emphasis on personal, real-life travel experiences has garnered three Webby Award nominations for "Top Travel Website" as well as accolades from Yahoo! Internet Life, which voted it "Best Travel Community."
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The inside scoop on strikeouts: despite being an unproductive at-bat, going down on strikes adds excitement to game and is more common than ever in big ... history. : An article from: Baseball Digest
George Vass Manufacturer: Thomson Gale ProductGroup: Book Binding: Digital ASIN: B000BD9UIO Release Date: 2005-09-12 |
Book Description
This digital document is an article from Baseball Digest, published by Thomson Gale on August 1, 2005. The length of the article is 5156 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
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Nestle scores big merger coup in Europe, but gets FTC grief in United States market. (Ice Cream Scoops).(Federal Trade Commission is against the food conglomerate's ... from: Quick Frozen Foods International
Manufacturer: E.W. Williams Publications, Inc. ProductGroup: Book Binding: Digital ASIN: B0008DFMDO Release Date: 2005-07-31 |
Book Description
This digital document is an article from Quick Frozen Foods International, published by E.W. Williams Publications, Inc. on April 1, 2003. The length of the article is 835 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
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SAT/ACT survival guide: boost your scores by being prepared. Here's the scoop on what to expect from the big tests.(Strategies For Success): An article from: Careers & Colleges
Jaclyn Lieber Manufacturer: EM Guild, Inc. ProductGroup: Book Binding: Digital ASIN: B0008E4TYQ Release Date: 2005-07-31 |
Book Description
This digital document is an article from Careers & Colleges, published by EM Guild, Inc. on September 1, 2003. The length of the article is 1995 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
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The Big Scoop (Harlequin Flipside #30)
Sandra Kelly Manufacturer: Harlequin ProductGroup: Book Binding: Paperback ASIN: B000OWHKEI |
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