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Foundations of Mechanics

H. Zorski (Herausgeber)

Buch | Hardcover

610 Seiten

1991
Elsevier Science Ltd (Verlag)
978-0-444-98700-6 (ISBN)

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In the last three decades the field of mechanics has seen spectacular progress due to the demand for applications in problems of cosmology, thermonuclear fusion, metallurgy, etc. This book provides a broad and thorough overview on the foundations of mechanics. It discusses theoretical mechanics and continuum mechanics, as well as phenomenological thermodynamics, quantum mechanics and relativistic mechanics. Each chapter presents the basic physical facts of interest without going into details and derivations and without using advanced mathematical formalism. The first part constitutes a classical exposition of Lagrange's and Hamilton's analytical mechanics on which most of the continuum theory is based. The section on continuum mechanics focuses mainly on the axiomatic foundations, with many pointers for further research in this area. Special attention is given to modern continuum thermodynamics, both for the foundations and applications. A section on quantum mechanics is also included, since the phenomenological description of various quantum phenomena is becoming of increasing importance.

Parts: I. Analytical Mechanics (R. Gutowski). 1. Constrained mechanical system. 2. Variational principles of mechanics. 3. Equations of motion of mechanical systems in Lagrange variables and quasi-coordinates. 4. Equations of motion of material systems in canonical variables. 5. Canonical transformations. 6. Integral invariants and conservation laws. II. Relativistic Mechanics (S.L. Bazanski). 1. Physical origin of the special theory of relativity. 2. Galilean space-time. 3. Basic space-time concepts of the special theory of relativity. 4. Minkowski space-time. 5. Relativistic kinematics. 6. Dynamics of a material point. 7. Conservation principles. 8. Equations of motion. 9. Canonical formalism. 10. Comments on the relativistic many-body problem. III. Quantum Mechanics (J. Slawianowski). 1. Basic concepts of quantum mechanics. Historical origins. 2. Quantum mechanics of a material point. Wave mechanics. 3. General formulation of quantum mechanics and examples. 4. Simple applications of quantum mechanics. 5. Some approximate methods and their applications. IV. Mechanics of Continuous Media (C. Wozniak). 1. Basic concepts. 2. Fundamental principles. 3. Investigation of the balance principles. 4. General field equations. 5. Materials. 6. Constraints and loadings. 7. Specialized theories. V. Phenomenological Thermodynamics (K. Wilmanski). 1. Introduction. 2. Fundamentals of abstract phenomenological thermodynamics. 3. Thermodynamics of thermomechanical materials. 4. Comments on the second law of thermodynamics. Bibliography. Subject Index.

Reihe/Serie	Studies in Applied Mechanics ; v. 28
Verlagsort	Oxford
Sprache	englisch
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Technik ► Maschinenbau
ISBN-10	0-444-98700-2 / 0444987002
ISBN-13	978-0-444-98700-6 / 9780444987006
Zustand	Neuware