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Gopal Mailpalli
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This book should introduce me to Lagrangian and Hamiltonian Mechanics and slowly teach me how to do problems. I know about Goldstein's Classical Mechanics, but don't know how do I approach the book.
What's your level in physics and math? Also note that Goldstein's book contains a serious bug concerning anholonomous constraints!Gopal Mailpalli said:This book should introduce me to Lagrangian and Hamiltonian Mechanics and slowly teach me how to do problems. I know about Goldstein's Classical Mechanics, but don't know how do I approach the book.
vanhees71 said:What's your level in physics and math? Also note that Goldstein's book contains a serious bug concerning anholonomous constraints!
vanhees71 said:Then you should have the prereqesites for analytical mechanics. A good book is
F. Scheck, Mechanics - From Newton's Laws to Deterministic Chaos, Springer (2010)
vanhees71 said:Then you should have the prereqesites for analytical mechanics. A good book is
F. Scheck, Mechanics - From Newton's Laws to Deterministic Chaos, Springer (2010)
L&L, although at a high level, is surprisingly lucid and easy to read...vanhees71 said:Hm, that's difficult to answer. Usually this book is used in the introductory lecture on classical mechanics of the theory course in Germany. At our university in Frankfurt that's already in the 2nd semester. Perhaps also the corresponding volumes of Greiner's theory-book series is more detailed so that it's easier to get started with. In my own studies the standard text for that purpose was Goldstein. Another very good source is of course Landau-Lifshitz but that's at a higher level than Scheck.
Gopal Mailpalli said:But it's a Graduate Text and quite advanced for beginners. Any suggestion how do i approach this book so that I can grasp well.
Student100 said:You're finishing a degree in physics (and math too I suppose), you aren't a beginner anymore. Or at least, you shouldn't be. You're a year removed from graduate school, graduate level texts shouldn't intimidate you.
What texts did you use for upper division mechanics? Taylor, Marion?
Gopal Mailpalli said:I agree what you said student100. I didn't have quality education in my high school. Am working myself and building up slowly. In my bachelors i didn't have any introduction to Lagrange's or Hamiltonian mechanics. Trying my best to build day by day. I didn't use any of the books above what you mentioned.
Schaum's series is best. also Melvin G. Calkin book on this topic.Gopal Mailpalli said:This book should introduce me to Lagrangian and Hamiltonian Mechanics and slowly teach me how to do problems. I know about Goldstein's Classical Mechanics, but don't know how do I approach the book.
Gopal Mailpalli said:Am in my final year of bachelors consisting of Mathematics and Physics. I don't have Lagrange's or Hamiltonian Mechanics in my course. I want to do a self study.
If there are any prerequisites before I start L & H. Please mention.
Lagrangian Mechanics and Hamiltonian Mechanics are two different approaches to classical mechanics. While both are based on the principle of least action, Lagrangian Mechanics uses generalized coordinates and velocities to describe the motion of a system, while Hamiltonian Mechanics uses generalized coordinates and momenta.
Lagrangian and Hamiltonian Mechanics provide a more elegant and efficient way to describe the motion of a system compared to Newtonian Mechanics. They also have applications in various fields of physics, such as quantum mechanics and general relativity.
Some recommended books for learning Lagrangian and Hamiltonian Mechanics include "Classical Mechanics" by John R. Taylor, "Classical Dynamics: A Contemporary Approach" by Jorge V. Jose and Eugene J. Saletan, and "Introduction to Classical Mechanics" by David Morin.
A strong foundation in calculus and classical mechanics is necessary to understand Lagrangian and Hamiltonian Mechanics. Familiarity with differential equations and linear algebra is also helpful.
Lagrangian and Hamiltonian Mechanics have applications in various fields, including celestial mechanics, quantum mechanics, and fluid mechanics. They are also used in the analysis of mechanical systems in engineering and robotics.