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Classical Mechanics

Crossref Citations

This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

Lee, S. D. Kao, Ben and Cheng, Reynold 2007. Reducing UK-Means to K-Means. p. 483.

Jones, Simon A and Nieminen, John M 2008. Rolling reloaded. European Journal of Physics, Vol. 29, Issue. 2, p. 393.

Rafat, M. Z. Wheatland, M. S. and Bedding, T. R. 2009. Dynamics of a double pendulum with distributed mass. American Journal of Physics, Vol. 77, Issue. 3, p. 216.

Davis, E. D. 2011. Orbits of the Kepler problem via polar reciprocals. American Journal of Physics, Vol. 79, Issue. 12, p. 1246.

Das, Manas Jain, V. K. and Ghoshdastidar, P. S. 2012. Nanofinishing of flat workpieces using rotational–magnetorheological abrasive flow finishing (R-MRAFF) process. The International Journal of Advanced Manufacturing Technology, Vol. 62, Issue. 1-4, p. 405.

ROMANOV, VOLODYMYR A. and DOEDEL, EUSEBIUS J. 2012. PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS OF THE HOMOGENEOUS ROTATING GRAVITATING TRIAXIAL ELLIPSOID. International Journal of Bifurcation and Chaos, Vol. 22, Issue. 10, p. 1230035.

Janschek, Klaus and Richmond, Kristof 2012. Mechatronic Systems Design. p. 211.

Bhattacharya, M. Stoutimore, M. J. A. Osborn, K. D. and Mizel, Ari 2012. Understanding the damping of a quantum harmonic oscillator coupled to a two-level system using analogies to classical friction. American Journal of Physics, Vol. 80, Issue. 9, p. 810.

Shapiro, Ilya L. and de Berredo-Peixoto, Guilherme 2013. Lecture Notes on Newtonian Mechanics. p. 163.

Čeleda, Tomáš 2013. A solar sailcraft simulation application. Physics Education, Vol. 48, Issue. 4, p. 472.

Lee, ChaBum and Lee, Sun-Kyu 2013. Multi-degree-of-freedom motion error measurement in an ultraprecision machine using laser encoder — Review. Journal of Mechanical Science and Technology, Vol. 27, Issue. 1, p. 141.

Shapiro, Ilya L. and de Berredo-Peixoto, Guilherme 2013. Lecture Notes on Newtonian Mechanics. p. 1.

Shapiro, Ilya L. and de Berredo-Peixoto, Guilherme 2013. Lecture Notes on Newtonian Mechanics. p. 191.

Czyzowicz, Jurek Kranakis, Evangelos and Pacheco, Eduardo 2013. Automata, Languages, and Programming. Vol. 7966, Issue. , p. 508.

Shapiro, Ilya L. and de Berredo-Peixoto, Guilherme 2013. Lecture Notes on Newtonian Mechanics. p. 111.

Michaelis, Max M 2014. Horizontal axis Levitron—a physics demonstration. Physics Education, Vol. 49, Issue. 1, p. 67.

Sun, Z. Mou, S. Anderson, B. D. O. and Morse, A. S. 2014. Formation movements in minimally rigid formation control with mismatched mutual distances. p. 6161.

2014. Understanding the Discrete Element Method. p. 1.

Myint, Philip C. and Firoozabadi, Abbas 2015. Thermodynamics of flat thin liquid films. AIChE Journal, Vol. 61, Issue. 9, p. 3104.

Czyzowicz, Jurek Kranakis, Evangelos Pacheco, Eduardo and Pająk, Dominik 2015. Structural Information and Communication Complexity. Vol. 9439, Issue. , p. 285.

Book about classical mechanics

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As already mentioned the standard introductory books in hamiltonian geometrical (point-) mechanics are Foundations of Mechanics by Abraham and Marsden and Arnolds Mathematical Methods of Classical Mechanics. Another standard book is: "Classical Mathematical Physics" by Walter Thirring.

You may also have a look at "Symmetry in mechanics: a gentle, modern introduction" by Stefanie Frank Singer, which bridges the gap between standard college courses on classical point mechanics and books like those mentioned above.

Another interesting book for geometrical hamilton mechanics is "Introduction to Symmetry and Mechanics" by J. Marsden, which gives a nice introductory overview to that topic.

For more examples from a geometrical point of view you may also consult "Global aspects of classical integrable systems" by Cushman and Bates.

One sould also mention "Mathematical Aspects of Classical and Celestical Mechanics" by Arnold, Kozlov and Neishtadt.

For a less advanced (and less rigorous approach) with very much examples you may have a look at the german book "Klassische Mechanik" by F. Kuypers.

Wikibooks, open books for an open world

Classical mechanics is the study of the motion of bodies based upon Isaac Newton's famous laws of mechanics. There are no new physical concepts in classical mechanics that are not already extant in other areas of physics. What classical mechanics does is mathematically reformulate Newtonian physics to address a huge range of problems ranging from molecular dynamics to the motion of celestial bodies.

As one of the oldest branches of physics, it has long ago been displaced in many fields of study by newer theories (the foremost of these being quantum mechanics and relativity), but classical mechanics is far from being obsolete. Classical mechanics is very useful for analyzing problems in which quantum and relativistic effects are negligible, and its principles and mathematics are the foundation upon which numerous branches of modern physics are founded (including quantum mechanics and relativity). And finally, it is fascinating field of study unto itself—or at least some people think so. Maybe you'll be a fan of classical mechanics too, after having studied it.

Prerequisites

The reader should be comfortable with Newton's laws and with basic physics concepts such as mass, moments of inertia, length, force and time (q.v. basic concepts). In addition, math is the crucial tool of physics, familiarity with geometry, algebra, and calculus is a must. In particular, the reader should be comfortable with multivariable calculus (if you do not know the difference between '∂f/∂x' and 'df/dx', then it's time to spend some quality time with a math textbook).

That said, mathematics is tool for physics, and only a tool. As much as it is important for the study of physics, physics is more than a mere exercise in math. It is also about finding different ways to look at the physical world, and developing intuition about how to predict natural phenomena ("how things work"). Readers need not have understood everything that was ever taught to them in a math course.

Suggested books to study

There is an extraordinarily large number of textbooks in theoretical mechanics, because it is a fairly old and well-studied subject. You need any textbook on classical mechanics that you can understand and that talks about "Lagrangians" early on. (Books that only talk about accelerations, forces, and torques may be quite advanced but they do not cover the subject of theoretical mechanics.)

H. Goldstein. Classical mechanics . - Has everything standard in it and quite a few advanced topics. An old classic.

. - Has everything standard in it and quite a few advanced topics. An old classic. L.N. Hand, J.D. Finch. Analytical mechanics (Cambridge, 1998). - A fresher, more didactic exposition of mechanics. Standard material.

(Cambridge, 1998). - A fresher, more didactic exposition of mechanics. Standard material. L. Landau, E. Lifshitz. Mechanics . -- A short, clean, concise treatment of mechanics.

. -- A short, clean, concise treatment of mechanics. V.I. Arnold. Mathematical methods of classical mechanics. -- Has almost nothing standard in it but is excellent for a more mathematically minded student. Not for beginners.

Contents

Part 1: Core material

Part 2: Optional material