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Classical Mechanics: Methuen's Monographs on Physical Subjects (Science Paperbacks)
Ebook Download Classical Mechanics: Methuen's Monographs on Physical Subjects (Science Paperbacks)
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Product details
Series: Science Paperbacks
Paperback: 153 pages
Publisher: Science Paperbacks; 1965 edition (October 1, 1965)
Language: English
ISBN-10: 0412200708
ISBN-13: 978-0412200700
Product Dimensions:
5 x 0.4 x 8 inches
Shipping Weight: 6.4 ounces (View shipping rates and policies)
Average Customer Review:
4.2 out of 5 stars
25 customer reviews
Amazon Best Sellers Rank:
#368,945 in Books (See Top 100 in Books)
The first edition of this text was meant to fill a void in graduate education-the lack of a cogent text in the classical underpinnings of quantum mechanics like Hamiltonians and Poisson brackets-as other reviewers have indicated. This second edition serves that purpose also but goes beyond into applications of classical mechanics proper. The reader is assumed to have some proficiency in math analysis-implicit function theorem for example-enough to follow a proof say when you look it up. Luckily most(all if you look hard enough)of this math is available on the internet. In my day reference books were taken out excessively long in an effort to wipe out competition-nasty brats! Anyway this philosophy of evading rigorous math and relegating it to references persists to this day-many physicists have this belief that rigor restrains theoretical creativity-yeah there was some drug use back then. Goldstein gives a reference to Euler's theorem on homogeneous functions in chapter 2-WTF! To make this exciting here's the proof: If you multiply each variable of the homogeneous function by t say the result after some algebra is t to some power(called the degree) times the original function. If we take the partial derivative with respect to t on both sides of this equation-on the left we use the chain rule in multivariable calculus-on the right we get a term that's the usual derivative of a power of t. On setting t=1 the theorem results. This is done largely here in words but in math symbols it's shorter and not much more than the reference citation. I'm not faulting the author since this was the in-thing back then as well as belief that fluency in math could not be assumed of the physics or engineering student.This is my second purchase of this text and my second reading-sold my first back to the college store. I was nostalgic and also remembered the final chapter on the Lagrangian formulation of continuous fields to be quite good. There is an appendix in which is derived the acoustic field-gas is treated adiabatically and sound manifests as variations in density. Hamilton-Jacobi theory was corrected in this edition-the equation follows as a consequence of an equation relating the new Hamiltonian to the original and the generating function of its contact transformation. Special relativistic mechanics is treated in chapter 7 and the reader is assumed to have previous exposure to the Lorentz transformation. Exercise 23 at the end of this chapter makes the reader derive the Ackeret equation, the relativistic analogue to the Tsiolkovsky rocket equation. Here you work in the center of mass frame of the rocket just before the particle or a particle is expelled from the rocket and you observe the energy and momentum consequences in this frame after expulsion keeping in mind that only first order terms in velocity and mass survive in the differential equation. The change in the rocket's velocity in this frame will be given as the ratio of the transformed x interval to the transformed t interval for motion along the x axis-this is a function of velocities seen in our fixed frame. Further the mass before expulsion had a rest mass energy in the center of mass frame and this energy must be equal the total energy of the expelled mass plus the kinetic energy now of the rocket in this center of mass frame. This is a good problem to test your basic understanding of relativistic energy-momentum. Don't forget the momentum conservation equation-the energy equation gives you a relation between the expelled mass particle and the original mass particle to 1st order to be used in the momentum equation. (Technically the center of mass frame does not exist in special relativity-multiple incompatible worldlines-we actually ride alongside the rocket just before the mass expulsion, an inertial frame and remain in this frame observing the energy and momentum consequences-it looks like the center of mass frame and it is non-relativistically in the Tsiolkovsky case. It's that different behavior of momentum and energy as well as the different velocity addition law that fouls it up.)The text gives many references for mechanics theorems which are hard to ferret out on your own. Also the only difference between this and the third edition is material on chaos and nonlinear dynamics which amounts to a greater emphasis on phase space-Liouville's theorem etc.-basically applications of material in the 2nd edition. Overall this edition then is worth having.
This book is a bit easier than Goldstein, whether that is good or bad depends on your personal preferences. A fruitful, though laborious approach, would be to first read Corben & Stehle and then Goldstein. A deficiency is that in parts it becomes to abstract and short of concrete examples that are fully worked out.A problem with the Kindle version is that some of the mathematical notation has become mangled.
This is a gold standard for the classical treatment of mechanics. I used it when I was a physics undergraduate and when I was a graduate student in engineering. I still read it just to brush up on my mechanics.
This book is the Bible of Classical Mechanics. I still recognize new relations in this topic whenever I start to read it. Second Edition is a legendary version of this book like Red-Jackson (Classical Electrodynamics). As a lecturer, I think Goldstein's book is an indispensable course material prepared for who learn classical mechanics.
Perfect, thank you :)
This is an advanced senior or graduate course text. Meticulous and imaginative. We used this text in the 60s and I wanted a fresher copy.
its basically the same as the new version, but its $10!!!!!And it looks old as dirt with the old tea stain look, and fits in the palm of your hand because its so small. definitely worth getting this and the pdf of the real book
It's a great reference for those studying Mechanics.
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