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OverviewIn 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. Full Product DetailsAuthor: Petre P. TeodorescuPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2007 Dimensions: Width: 15.50cm , Height: 3.90cm , Length: 23.50cm Weight: 1.193kg ISBN: 9789048173693ISBN 10: 9048173698 Pages: 778 Publication Date: 30 November 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsNewtonian 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.ReviewsFrom 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. (Jose Fernandez-Nunez, Mathematical Reviews, Issue 2008 j) 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. (Jose Fernandez-Nunez, Mathematical Reviews, Issue 2008 j) 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. (Jose Fernandez-Nunez, Mathematical Reviews, Issue 2008 j) 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. (Jose Fernandez-Nunez, Mathematical Reviews, Issue 2008 j) Author Information"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." Tab Content 6Author Website:Countries AvailableAll regions |
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