Mathematical Physics Newtonian Mechanics Physics
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Mathematical Physics Newtonian Mechanics Physics
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Author : Dr. Ramji Pathak
language : en
Publisher: Thakur Publication Private Limited
Release Date : 2021-01-01
Mathematical Physics Newtonian Mechanics Physics written by Dr. Ramji Pathak and has been published by Thakur Publication Private Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-01 with Education categories.
Mathematical Physics & Newtonian Mechanics b.sc 1 semester nep2020 common minimum syllabus by Thakur Publication Pvt. Ltd.
Mathematical Physics Classical Mechanics
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Author : Andreas Knauf
language : en
Publisher: Springer
Release Date : 2018-02-24
Mathematical Physics Classical Mechanics written by Andreas Knauf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-24 with Science categories.
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
The Principles Of Newtonian And Quantum Mechanics
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Author : Maurice de Gosson
language : en
Publisher: World Scientific
Release Date : 2001
The Principles Of Newtonian And Quantum Mechanics written by Maurice de Gosson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This book deals with the foundations of classical physics from the OC symplecticOCO point of view, and of quantum mechanics from the OC metaplecticOCO point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the OC principle of the symplectic camelOCO, which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the OC metatronOCO is introduced, in connection with the Bohmian theory of motion. A precise form of Feynman''s integral is introduced in connection with the extended metaplectic representation. Contents: From Kepler to SchrAdinger OC and Beyond; Newtonian Mechanics; The Symplectic Group; Action and Phase; Semi-Classical Mechanics; The Metaplectic Group and the Maslov Index; SchrAdinger''s Equation and the Metatron. Readership: Researchers and graduate students in mathematical physics."
The Elements Of Mechanics
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Author : Giovanni Gallavotti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
The Elements Of Mechanics written by Giovanni Gallavotti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Mathematical Methods Of Classical Mechanics
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Author : V. I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Mathematical Methods Of Classical Mechanics written by V. I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.
Classical Mechanics
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-13
Classical Mechanics written by Walter Greiner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-13 with Science categories.
The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.
Mechanics
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Author : Florian Scheck
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-01
Mechanics written by Florian Scheck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Science categories.
Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good kno- edge of general mechanics. Field theories such as electrodynamics borrow their formal framework and many of their building principles from mechanics. In short, throughout the many modern developments of physics where one frequently turns back to the principles of classical mechanics its model character is felt. For this reason it is not surprising that the presentation of mechanics re?ects to some - tent the development of modern physics and that today this classical branch of theoretical physics is taught rather differently than at the time of Arnold S- merfeld, in the 1920s, or even in the 1950s, when more emphasis was put on the theoryandtheapplicationsofpartial-differentialequations. Today, symmetriesand invariance principles, the structure of the space–time continuum, and the geom- rical structure of mechanics play an important role. The beginner should realize that mechanics is not primarily the art of describing block-and-tackles, collisions of billiard balls, constrained motions of the cylinder in a washing machine, or - cycle riding.
Mathematica For Theoretical Physics
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Author : Gerd Baumann
language : en
Publisher:
Release Date : 2005
Mathematica For Theoretical Physics written by Gerd Baumann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematical physics categories.
Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices. The examples given in the text can also be interactively used and changed for the reader's purposes. The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of the University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysis of Differential Equations with Mathematica®. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at TECHNISCHE UNIVERSITÄT MÜNCHEN (TUM), Munich.
Fundamental Principles Of Classical Mechanics
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Author : Kai S Lam
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-07-07
Fundamental Principles Of Classical Mechanics written by Kai S Lam and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-07 with Science categories.
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
Mathematical Methods In Classical And Quantum Physics
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Author : Tulsi Dass
language : en
Publisher: Universities Press
Release Date : 1998
Mathematical Methods In Classical And Quantum Physics written by Tulsi Dass and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematical physics categories.
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.
