Mechanics: From Newton's Laws to Deterministic Chaos

by Florian Scheck

A course in mechanics is of primary importance in any physics teaching program. Scheck's book integrates the various aspects of classical mechanics, relativistic mechanics, and modern topics such as deterministic chaos. Both the physical approach to mechanics and its mathematical foundations are emphasised. With elementary Newtonian mechanics as a starting point, the principles of canonical mechanics in Hamiltonian and Lagrangian formulations are outlined. Rigid bodies are treated in detail, and the basic concepts of special relativity are given. Particular emphasis is put on the geometrical aspects of mechanics, such as geometrical objects on manifolds. A chapter on stability and chaos concludes the book, introducing topics such as the long-time behavior of dynamical flows, deterministic chaos, and chaotic motion in celestial mechanics.

Genres: Physics

431 pages, Paperback

First published October 24, 1988

About the author

Florian A. Scheck, professor emeritus at University of Mainz, Germany. Born in 1936, diploma degree 1962 , Ph.D. (Dr. rer.nat) 1964, both at U. Freiburg, Germany. Habilitation at U. Heidelberg 1968. Guest scientist at the Weizmann Instituteof Science, Rehovoth, (1964 – 1966), research assistant U. Heidelberg, (1966 – 1968), research fellow at CERN, Geneva, (1968 – 1970), head of theory groupSIN/PSI, lecturer and titular professor at ETH Zurich (1970 – 1976). Professor of theoretical Physics U. Mainz (1976 – 2005). Numerous visits as guest scientist or guest professor, Helsinki, Montpellier, Marseille, San José (Costa Rica), Bogota (Columbia).