Foundations Of Theoretical Mechanics

Author : Ruggero Maria Santilli
Publisher : Springer
Page : 266 pages
File Size : 50,8 Mb
Release : 1984-01-01
Category : Science
ISBN : 3662236834

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Foundations of Theoretical Mechanics I by Ruggero Maria Santilli Pdf

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 : Ruggero Maria Santilli
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 51,5 Mb
Release : 2013-11-21
Category : Science
ISBN : 9783662257715

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Foundations of Theoretical Mechanics I by Ruggero Maria Santilli Pdf

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 : Ruggero Maria Santilli
Publisher : Springer
Page : 296 pages
File Size : 53,5 Mb
Release : 1978
Category : Mathematics
ISBN : UCSD:31822001339050

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Foundations of Theoretical Mechanics by Ruggero Maria Santilli Pdf

Author : Ruggero Maria Santilli
Publisher : Unknown
Page : 392 pages
File Size : 46,5 Mb
Release : 1982-12-01
Category : Electronic
ISBN : 3642867618

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Foundations of Theoretical Mechanics II by Ruggero Maria Santilli Pdf

Author : P. C. Deshmukh
Publisher : Cambridge University Press
Page : 128 pages
File Size : 55,6 Mb
Release : 2019-12-12
Category : Science
ISBN : 9781108658942

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Foundations of Classical Mechanics by P. C. Deshmukh Pdf

Written in easily accessible language, the book provides a modern perspective of classical mechanics. Mathematical rigour is intertwined with lucid narration that will generate confidence in students to assimilate and apply fundamental principles of physics. The commonalities and differences of Newton's, Lagrange's and Hamilton's equations are explained in detail. Free, damped, driven oscillators and resonances are analysed systematically. The text extensively covers concepts of fluid mechanics, special theory of relativity, general theory of relativity and Lorentz transformations. The theories of gravitational field, fractals and chaos, Maxwell's laws of electrodynamics, and Einstein's theory of relativity are expanded from the first principle. The text is supported by practice problem sets to help students check their understanding of the concepts.

Author : Belal E. Baaquie
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 41,9 Mb
Release : 2013-01-26
Category : Science
ISBN : 9781461462248

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The Theoretical Foundations of Quantum Mechanics by Belal E. Baaquie Pdf

The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.

Author : Ralph Abraham
Publisher : CRC Press
Page : 849 pages
File Size : 44,7 Mb
Release : 2019-04-24
Category : Science
ISBN : 9780429689048

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Foundations Of Mechanics by Ralph Abraham Pdf

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 : R. Jancel
Publisher : Elsevier
Page : 441 pages
File Size : 49,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483186269

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Foundations of Classical and Quantum Statistical Mechanics by R. Jancel Pdf

Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.

Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 45,5 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322

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Physics for Mathematicians by Michael Spivak Pdf

Author : Travis Norsen
Publisher : Springer
Page : 310 pages
File Size : 55,6 Mb
Release : 2017-08-17
Category : Science
ISBN : 9783319658674

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Foundations of Quantum Mechanics by Travis Norsen Pdf

Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 596 pages
File Size : 48,9 Mb
Release : 2003-12-16
Category : Science
ISBN : 9780486432618

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Theoretical Mechanics of Particles and Continua by Alexander L. Fetter,John Dirk Walecka Pdf

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.

Author : Gennaro Auletta,Giorgio Parisi
Publisher : World Scientific
Page : 1030 pages
File Size : 47,8 Mb
Release : 2001
Category : Science
ISBN : 9810246145

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Foundations and Interpretation of Quantum Mechanics by Gennaro Auletta,Giorgio Parisi Pdf

The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schr”dinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.

Author : P. C. Deshmukh
Publisher : Cambridge University Press
Page : 591 pages
File Size : 52,6 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9781108480567

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Foundations of Classical Mechanics by P. C. Deshmukh Pdf

The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.

Author : Eugene J. Saletan,Alan H. Cromer
Publisher : John Wiley & Sons
Page : 394 pages
File Size : 54,5 Mb
Release : 1971
Category : Science
ISBN : UOM:39015036999434

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Theoretical Mechanics by Eugene J. Saletan,Alan H. Cromer Pdf

Author : Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda
Publisher : Springer Nature
Page : 526 pages
File Size : 40,6 Mb
Release : 2021-08-30
Category : Technology & Engineering
ISBN : 9783030640613

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Rational and Applied Mechanics by Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda Pdf

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.