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Author : Ruggero Maria Santilli
Publisher :
ISBN 13 : 9783642867613
Total Pages : 392 pages
Book Rating : 4.18/5 ( download)
Download or read book Foundations of Theoretical Mechanics II written by Ruggero Maria Santilli and published by . This book was released on 1982-12-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ruggero Maria Santilli
Publisher : Springer
ISBN 13 : 9783662236833
Total Pages : 266 pages
Book Rating : 4.34/5 ( download)
Download or read book Foundations of Theoretical Mechanics I written by Ruggero Maria Santilli and published by Springer. This book was released on 1984-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this monograph is to present some methodological foundations of theoretical mechanics that are recommendable to graduate students prior to, or jointly with, the study of more advanced topics such as statistical mechanics, thermodynamics, and elementary particle physics. A program of this nature is inevitably centered on the methodological foundations for Newtonian systems, with particular reference to the central equations of our theories, that is, Lagrange's and Hamilton's equations. This program, realized through a study of the analytic representations in terms of Lagrange's and Hamilton's equations of generally nonconservative Newtonian systems (namely, systems with Newtonian forces not necessarily derivable from a potential function), falls within the context of the so-called Inverse Problem, and consists of three major aspects: l. The study of the necessary and sufficient conditions for the existence of a Lagrangian or Hamiltonian representation of given equations of motion with arbitrary forces; 2. The identification of the methods for the construction of a Lagrangian or Hamiltonian from given equations of motion verifying conditions 1; and 3 The analysis of the significance of the underlying methodology for other aspects of Newtonian Mechanics, e. g. , transformation theory, symmetries, and first integrals for nonconservative Newtonian systems. This first volume is devoted to the foundations of the Inverse Problem, with particular reference to aspects I and 2.
Author : D. Hestenes
Publisher : Springer Science & Business Media
ISBN 13 : 9400948026
Total Pages : 655 pages
Book Rating : 4.20/5 ( download)
Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Author : P. C. Deshmukh
Publisher : Cambridge University Press
ISBN 13 : 110848056X
Total Pages : 591 pages
Book Rating : 4.67/5 ( download)
Download or read book Foundations of Classical Mechanics written by P. C. Deshmukh and published by Cambridge University Press. This book was released on 2019-12-12 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.
Author : D. Hestenes
Publisher : Springer Science & Business Media
ISBN 13 : 0306471221
Total Pages : 716 pages
Book Rating : 4.23/5 ( download)
Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2005-12-17 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Author : Ruggero Maria Santilli
Publisher : Springer
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.50/5 ( download)
Download or read book Foundations of Theoretical Mechanics written by Ruggero Maria Santilli and published by Springer. This book was released on 1978 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rubin H. Landau
Publisher : John Wiley & Sons
ISBN 13 : 3527617442
Total Pages : 519 pages
Book Rating : 4.49/5 ( download)
Download or read book Quantum Mechanics II written by Rubin H. Landau and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a readable and intuitive quantum mechanics text that covers scattering theory, relativistic quantum mechanics, and field theory. This expanded and updated Second Edition - with five new chapters - emphasizes the concrete and calculable over the abstract and pure, and helps turn students into researchers without diminishing their sense of wonder at physics and nature. As a one-year graduate-level course, Quantum Mechanics II: A Second Course in Quantum Theory leads from quantum basics to basic field theory, and lays the foundation for research-oriented specialty courses. Used selectively, the material can be tailored to create a one-semester course in advanced topics. In either case, it addresses a broad audience of students in the physical sciences, as well as independent readers - whether advanced undergraduates or practicing scientists.
Author : Ruggero Maria Santilli
Publisher : Springer Science & Business Media
ISBN 13 : 3662257718
Total Pages : 282 pages
Book Rating : 4.15/5 ( download)
Download or read book Foundations of Theoretical Mechanics I written by Ruggero Maria Santilli and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this monograph is to present some methodological foundations of theoretical mechanics that are recommendable to graduate students prior to, or jointly with, the study of more advanced topics such as statistical mechanics, thermodynamics, and elementary particle physics. A program of this nature is inevitably centered on the methodological foundations for Newtonian systems, with particular reference to the central equations of our theories, that is, Lagrange's and Hamilton's equations. This program, realized through a study of the analytic representations in terms of Lagrange's and Hamilton's equations of generally nonconservative Newtonian systems (namely, systems with Newtonian forces not necessarily derivable from a potential function), falls within the context of the so-called Inverse Problem, and consists of three major aspects: l. The study of the necessary and sufficient conditions for the existence of a Lagrangian or Hamiltonian representation of given equations of motion with arbitrary forces; 2. The identification of the methods for the construction of a Lagrangian or Hamiltonian from given equations of motion verifying conditions 1; and 3 The analysis of the significance of the underlying methodology for other aspects of Newtonian Mechanics, e. g. , transformation theory, symmetries, and first integrals for nonconservative Newtonian systems. This first volume is devoted to the foundations of the Inverse Problem, with particular reference to aspects I and 2.
Author : Ralph Abraham
Publisher : CRC Press
ISBN 13 : 0429689047
Total Pages : 849 pages
Book Rating : 4.48/5 ( download)
Download or read book Foundations Of Mechanics written by Ralph Abraham and published by CRC Press. This book was released on 2019-04-24 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.
Author : Alexander L. Fetter
Publisher : Courier Corporation
ISBN 13 : 0486432610
Total Pages : 596 pages
Book Rating : 4.18/5 ( download)
Download or read book Theoretical Mechanics of Particles and Continua written by Alexander L. Fetter and published by Courier Corporation. This book was released on 2003-12-16 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.
