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2010, ISBN: 9789048173693

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2007, 792 Seiten, Publiziert: 2010-11-30T00:00:01Z, Produktgruppe: Buch, 2.63 kg, Astronomie, Naturwissenschaften & … Meer...

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Mechanical Systems, Classical Models. Volume 1: Particle Mechanics - pocketboek

2010, ISBN: 9789048173693

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2007, 792 Seiten, Publiziert: 2010-11-30T00:00:01Z, Produktgruppe: Buch, 2.63 kg, Astronomie, Naturwissenschaften & … Meer...

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Mechanical Systems, Classical Models - pocketboek

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Paperback, [PU: Springer], This book examines the study of mechanical systems as well as its links to other sciences of nature. It presents the fundamentals behind how mechanical theories… Meer...

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Mechanical Systems, Classical Models Volume 1 Particle Mechanics Mathematical and Analytical Techniques With Applications to Engineering - eerste uitgave

2011, ISBN: 9789048173693

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Petre P. Teodorescu:
Mechanical Systems, Classical Models: Particle Mechanics: Vol 1 - pocketboek

2008, ISBN: 9048173698

[EAN: 9789048173693], Neubuch, [PU: Springer Netherlands], softcover reprint of hardcover 1st ed. 2007 edition. 790 pages. 9.00x6.00x1.75 inches. In Stock., Books

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Mechanical Systems, Classical Models. Volume 1: Particle Mechanics

This book examines the study of mechanical systems as well as its links to other sciences of nature. It presents the fundamentals behind how mechanical theories are constructed and details the solving methodology and mathematical tools used: vectors, tensors and notions of field theory. It also offers continuous and discontinuous phenomena as well as various mechanical magnitudes in a unitary form by means of the theory of distributions.

Gedetalleerde informatie over het boek. - Mechanical Systems, Classical Models. Volume 1: Particle Mechanics


EAN (ISBN-13): 9789048173693
ISBN (ISBN-10): 9048173698
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
792 Bladzijden
Gewicht: 1,175 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-03-12T08:34:16+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-03-16T11:50:17+01:00 (Amsterdam)
ISBN/EAN: 9789048173693

ISBN - alternatieve schrijfwijzen:
90-481-7369-8, 978-90-481-7369-3


Gegevens van de uitgever

Auteur: Petre P. Teodorescu
Titel: Mathematical and Analytical Techniques with Applications to Engineering; Mechanical Systems, Classical Models - Volume 1: Particle Mechanics
Uitgeverij: Springer; Springer Netherland
778 Bladzijden
Verschijningsjaar: 2010-11-30
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 1,193 kg
Taal: Engels
267,49 € (DE)
274,99 € (AT)
295,00 CHF (CH)
POD
XII, 778 p.

BC; Previously published in hardcover; Hardcover, Softcover / Physik, Astronomie/Mechanik, Akustik; Klassische Mechanik; Verstehen; Degrees of freedom; MB07; Potential; mass geometry; mechanics of the systems of forces; particle dynamics; statics and kinematics; C; Classical Mechanics; Applications of Mathematics; Mathematical Methods in Physics; Classical Mechanics; Applications of Mathematics; Mathematical Methods in Physics; Physics and Astronomy; Angewandte Mathematik; Mathematische Physik; BB

PREFACE 1. NEWTONIAN MODEL OF MECHANICS. 1.1. Mechanics, science of nature. 1.1.1. Basic notions. 1.1.2. Mathematical model of mechanics. 1.2. Dimensional analysis. Units. Homogeneity. Similitude. 1.2.1. Physical quantities. Units. 1.2.2. Homogeneity. 1.2.3. Similitude. 2. MECHANICS OF THE SYSTEMS OF FORCES. 2.1. Introductory notions. 2.1.1. Decomposition of forces. Bases. 2.1.2. Products of vectors. 2.2. Systems of forces. 2.2.1. Moments. 2.2.2. Reduction of systems of forces. 3. MASS GEOMETRY. DISPLACEMENTS. CONSTRAINTS. 3.1. Mass geometry. 3.1.1. Centres of mass. 3.1.2. Moments of inertia. 3.2. Displacements. Constraints. 3.2.1. Displacements. 3.2.2. Constraints. 4. STATICS. 4.1. Statics of discrete mechanical systems. 4.1.1. Statics of the particle. 4.1.2. Statics of discrete systems of particles. 4.2. Statics of solids. 4.2.1. Statics of rigid solids. 4.2.2. Statics of threads. 5. KINEMATICS. 5.1. Kinematics of the particle. 5.1.1. Trajectory and velocity of the particle. 5.1.2. Acceleration of the particle. 5.1.3. Particular cases of motion of a particle. 5.2. Kinematics of the rigid solid. 5.2.1. Kinematical formulae in the motion of a rigid solid. 5.2.2. Particular cases of motion of the rigid solid. 5.2.3. General motion of the rigid solid. 5.3. Relative motion. Kinematics of mechanical systems. 5.3.1. Relative motion of a particle. 5.3.2. Relative motion of the rigid solid. 5.3.3. Kinematics of systems of rigid solids. 6. DYNAMICS OF THE PARTICLE WITH RESPECT TO AN INERTIAL FRAME OF REFERENCE. 6.1. Introductory notions. General theorems. 6.1.1. Introductory notions. 6.1.2. General theorems. 6.2. Dynamics of the particle subjected to constraints. 6.2.1. General considerations. 6.2.2. Motion of the particle with one or two degrees of freedom. 7. PROBLEMS OF DYNAMICS OF THE PARTICLE. 7.1. Motion of the particle in a gravitational field. 7.1.1. Rectilinear and plane motion. 7.1.2. Motion of a heavy particle. 7.1.3. Pendulary motion. 7.2. Other problems of dynamics of the particle. 7.2.1. Tautochronous motions. Motions on a brachistochrone and on a geodesic curve. 7.2.2. Other applications. 7.2.3. Stability of equilibrium of a particle. 8. DYNAMICS OF THE PARTICLE IN A FIELD OF ELASTIC FORCES. 8.1. The motion of a particle acted upon by a central force. 8.1.1. General results. 8.1.2. Other problems. 8.2. Motion of a particle subjected to the action of an elastic force. 8.2.1. Mechanical systems with two degrees of freedom. 8.2.2. Mechanical systems with a single degree of freedom. 9. NEWTONIAN THEORY OF UNIVERSAL ATTRACTION. 9.1. Newtonian model of universal attraction. 9.1.1. Principle of universal attraction. 9.1.2. Theory of Newtonian potential. 9.2. Motion due to the action of Newtonian forces of attraction. 9.2.1. Motion of celestial bodies. 9.2.2. Problem of artificial satellites of the Earth and of interplanetary vehicles. 9.2.3. Applications to the theory of motion at the atomic level. 10. OTHER CONSIDERATIONS ON PARTICLE DYNAMICS. 10.1. Motion with discontinuity. 10.1.1. Particle dynamics. 10.1.2. General theorems. 10.2. Motion of a particle with respect to a non-inertial frame of reference. 10.2.1. Relative motion. Relative equilibrium. 10.2.2. Elements of terrestrial mechanics. 10.3. Dynamics of the particle of variable mass. 10.3.1. Mathematical model of the motion. General theorems. 10.3.2. Motion of a particle of variable mass in a gravitational field. 10.3.3. Mathematical pendulum. Motion of a particle of variable mass in a field of central forces. 10.3.4. Applications of Meshcherskii’s generalized equation. APPENDIX. 1. Elements of vector calculus. 1.1. Vector analysis. 1.2. Exterior differential calculus. 2. Notions of field theory. 2.1. Conservative vectors. Gradient. 2.2. Differential operators of first and second order. 2.3. Integral formulae. 3. Elements of theory of distributions. 3.1. Composition of distributions. 3.2. Integral transforms in distributions. 3.3.

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