Table of Contents - continued from Volume 1 and 2: Preface 18. Langrangian Mechanics - 1. Preliminary results; 2. Langrange's equations; 3. Other problems concerning Lagrange's equations. 19. Hamiltonian Mechanics - 1. Hamilton's equations; 2. The Hamilton-Jacobi method. 20. Variational Principles. Canonical Transformations - 1. Variational principles; 2. Canonical transformations; 3. Symmetry transformations. Noether's theorem. Conservation laws. 21. Other Considerations on Analytical Methods in Dynamics of Discrete Mechanical Systems - 1. Integral invariants. Ergodic theorems; 2. Periodic motions. Action - angle variables; 3. Methods of exterior differential calculus. Elements of invariantive mechanics; 4. Formalisms in the dynamics of mechanical systems; 5. Control systems. 22. Dynamics of Non-Holonomic Mechanical Systems - 1. Kinematics of non-holonomic mechanical systems; 2. Lagrange's equations. Other equations of motion; 3. Gibbs - Appell equations; 4. Other problems on the dynamics of non-holonomic mechanical systems. 23. Stability and Vibrations - 1. Stability of mechanical systems; 2. Vibrations of mechanical systems. 24. Dynamical Systems. Catastrophes and Chaos - 1. Continuous and discrete dynamical systems; 2. Elements of the theory of catastrophes; 3. Periodic solutions. Global bifurcations; 4. Fractals. Chaotic motions. References.
About the Author: Prof. Dr. Doc. Petre P. Teodorescu
Born June 30, 1929, Bucuresti.
M.Sc. Faculty of Mathematics of the University of Bucharest, 1952; Faculty of Bridges of the Technical University of Civil Engineering, Bucharest, 1953.
Ph.D. "Calculus of rectangular deep beams in a general case of support and loading", Technical University of Civil Engineering, Bucharest, 1955.
Academic Positions Consulting Professor.
at the University of Bucharest, Faculty of Mathematics.
Fields of Research Mechanics of Deformable Solids (especially Elastic Solids), Mathematical Methods of Calculus in Mechanics.
Selected Publications
1. "Applications of the Theory of Distributions in Mechanics", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1974 (with W. Kecs);
2. "Dynamics of Linear Elastic Bodies", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1975;
3. "Spinor and Non-Euclidean Tensor Calculus with Applications", Editura Tehnicã-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1983 (with I. Beju and E. Soos);
4. "Mechanical Systems", vol. I, II, Editura Tehnicã, Bucuresti, 1988.
Invited Addresses The 2nd European Conference of Solid Mechanics, September 1994, Genoa, Italy: Leader of a Section of the Conference and a Communication.
Lectures Given Abroad Hannover, Dortmund, Paderborn, Germany, 1994; Padova, Pisa, Italy, 1994.
Additional Information Prize "Gh. Titeica" of the Romanian Academy in 1966; Member in the Advisory Board of Meccanica (Italy), Mechanics Research Communications and Letters in Applied Engineering Sciences (U.S.A.); Member of GAMM (Germany) and AMS (U.S.A.); Reviewer: Mathematical Reviews, Zentralblatt fuer Mathematik und ihre Grenzgebiete, Ph.D. advisor.
