Mechanical Systems, Classical Models: Volume III: Analytical Mechanics

Table of Contents - continued from Volume 1 and 2:Preface18. 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.

Prof. Dr. Doc. Petre P. TeodorescuBorn: 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.

From the reviews:"The present one deals with analytical mechanics. ... The presentation of material is carefully thought out and combines the exactness, completeness and simplicity that helps in understanding of the material. A particular impression makes the rich bibliography and the completeness of author's scope. This book is one of the best modern courses on analytical mechanics ... . Undoubtedly, this course will be useful for scientists, engineers, teachers and students." (Alexander Mikhailovich Kovalev, Zentralblatt MATH, Vol. 1177, 2010)