Mechanical Systems, Classical Models: Volume 1: Particle Mechanics: Mathematical and Analytical Techniques with Applications to Engineering
Autor Petre P. Teodorescuen Limba Engleză Paperback – 30 noi 2010
In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary.
Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view.
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Specificații
ISBN-13: 9789048173693
ISBN-10: 9048173698
Pagini: 792
Ilustrații: XII, 778 p.
Dimensiuni: 155 x 235 x 42 mm
Greutate: 1.09 kg
Ediția:Softcover reprint of hardcover 1st ed. 2007
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematical and Analytical Techniques with Applications to Engineering
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9048173698
Pagini: 792
Ilustrații: XII, 778 p.
Dimensiuni: 155 x 235 x 42 mm
Greutate: 1.09 kg
Ediția:Softcover reprint of hardcover 1st ed. 2007
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematical and Analytical Techniques with Applications to Engineering
Locul publicării:Dordrecht, Netherlands
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Public țintă
ResearchCuprins
Newtonian Model of Mechanics.- Mechanics of the Systems of Forces.- Mass Geometry. Displacements. Constraints.- Statics.- Kinematics.- Dynamics of the Particle with Respect to an Inertial Frame of Reference.- Problems of Dynamics of the Particle.- Dynamics of the Particle in a Field of Elastic Forces.- Newtonian Theory of Universal Attraction.- Other Considerations on Particle Dynamics.
Recenzii
From the reviews:
"This book is the first volume of a treatise on the classical theory of mechanical systems. … The book is useful at the graduate level in physics and mechanical engineering, as well as in mathematics. … The mathematical aspects are carefully presented. The text provides a detailed analysis of some generic examples, which will be enough to show how the theory is applied, at least for experienced readers. The subjects covered by the text are divided into 10 large chapters." (José Fernández-Núñez, Mathematical Reviews, Issue 2008 j)
"This book is the first volume of a treatise on the classical theory of mechanical systems. … The book is useful at the graduate level in physics and mechanical engineering, as well as in mathematics. … The mathematical aspects are carefully presented. The text provides a detailed analysis of some generic examples, which will be enough to show how the theory is applied, at least for experienced readers. The subjects covered by the text are divided into 10 large chapters." (José Fernández-Núñez, Mathematical Reviews, Issue 2008 j)
Notă biografică
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.
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.
Textul de pe ultima copertă
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.
In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions.
In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary.
Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In this form, the book becomes – we dare say – a unique outline of the literature in the field; the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technical sciences are not neglected.
Audience:
Librarians, and researchers interested in thefundamentals of mechanics
In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions.
In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary.
Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In this form, the book becomes – we dare say – a unique outline of the literature in the field; the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technical sciences are not neglected.
Audience:
Librarians, and researchers interested in thefundamentals of mechanics
Caracteristici
Mechanics has been at the heart of theoretical physics, ever since Ernst Mach's seminal work on the subject Presents a thoroughly up-to-date treatment of the fundamentals behind how mechanical theories are constructed The author has spent a lifetime studying this subject and brings together all of his experience and thought on the mechanics of particles into this volume Comprehensive with references to over 600 books