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    Classical Mechanics: Methuen's Monographs on Physical Subjects

    Posted By: AvaxGenius
    Classical Mechanics: Methuen's Monographs on Physical Subjects

    Classical Mechanics: Methuen's Monographs on Physical Subjects by J. W. Leech
    English | PDF | 1965 | 159 Pages | ISBN : 0412200708 | 10.1 MB

    It is a feature of the history of the subject that the study of atomic physics was accompanied by a partial neglect of that of classical mechanics. This led to the unsatisfactory situation in which the physicist was expected to assimilate the elements of quantum and statistical mechanics without understanding the classical foundations on which these subjects were built. The situation has improved in recent years through the general lengthening of degree courses, and it is now usual to study the analytical formulation at the late under­ graduate stage. A number of excellent treatises are available, and there are also many elementary accounts to be found in general works on physical principles. However, there has been available so far no self-contained introduction to the subject which provides the beginner with a broad general review without involving him in too much detail. It is hoped that this book may bridge the gap by pro­ viding the experimental physicist with a sufficient background for his theoretical understanding and the theorist with some stimulus to study the masterpieces of the subject. The mathematical equipment required is no more than in the normal honours physics course. For the purposes of Chapters IX­ XI it includes an elementary knowledge of cartesian tensors. A familiarity with Newtonian mechanics and some acquaintance with special relativity theory are presumed, though summarizing accounts are also given.

    Metamorphoses of Hamiltonian Systems with Symmetries (Repost)

    Posted By: AvaxGenius
    Metamorphoses of Hamiltonian Systems with Symmetries (Repost)

    Metamorphoses of Hamiltonian Systems with Symmetries by Konstantinos Efstathiou
    English | PDF | 2005 | 155 Pages | ISBN : 354024316X | 3.5 MB

    Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

    Mathematical Modelling of Physical Systems (Repost)

    Posted By: AvaxGenius
    Mathematical Modelling of Physical Systems (Repost)

    Mathematical Modelling of Physical Systems by Michel Cessenat
    English | PDF(True) | 2018 | 517 Pages | ISBN : 3319947575 | 5.4 MB

    Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

    Dynamical Systems X: General Theory of Vortices

    Posted By: AvaxGenius
    Dynamical Systems X: General Theory of Vortices

    Dynamical Systems X: General Theory of Vortices by V. V. Kozlov
    English | PDF | 2003 | 193 Pages | ISBN : 3540422072 | 17.8 MB

    The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New­ ton in his famous work Philosophiae Naturalis Principia Mathematica, whose publication in 1687 was paid for by his friend, the astronomer Halley. In essence, this book was written with a single purpose: to prove the equivalence of Kepler's laws and the assumption, suggested to Newton by Hooke, that the acceleration of a planet is directed toward the center of the Sun and decreases in inverse proportion to the square of the distance between the planet and the Sun. For this, Newton needed to systematize the principles of dynamics (which is how Newton's famous laws appeared) and to state the "theory of fluxes" (analysis of functions of one variable).

    Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained (Repost)

    Posted By: AvaxGenius
    Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained (Repost)

    Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained by Øyvind Grøn, Arne Næss
    English | PDF | 2011 | 350 Pages | ISBN : 1461407052 | 2.9 MB

    This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity.

    Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit

    Posted By: AvaxGenius
    Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit

    Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit by A. O. Bolivar
    English | PDF | 2004 | 196 Pages | ISBN : 3540201467 | 15.2 MB

    At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. Quantum-Classical Correspondence elucidates the problem by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations.

    Classical Analogies in the Solution of Quantum Many-Body Problems (Repost)

    Posted By: AvaxGenius
    Classical Analogies in the Solution of Quantum Many-Body Problems (Repost)

    Classical Analogies in the Solution of Quantum Many-Body Problems by Aydın Cem Keser
    English | EPUB | 2018 | 99 Pages | ISBN : 3030004872 | 5.6 MB

    This book addresses problems in three main developments in modern condensed matter physics– namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids–by employing fruitful analogies from classical mechanics.

    An Introduction to the Evolution of Single and Binary Stars (Repost)

    Posted By: AvaxGenius
    An Introduction to the Evolution of Single and Binary Stars (Repost)

    An Introduction to the Evolution of Single and Binary Stars by Matthew Benacquista
    English | PDF | 2013 | 262 Pages | ISBN : 1441999906 | 4.4 MB

    An Introduction to the Evolution of Single and Binary Stars provides physicists with an understanding of binary and single star evolution, beginning with a background and introduction of basic astronomical concepts. Although a general treatment of stellar structure and evolution is included, the text stresses the physical processes that lead to stellar mass compact object binaries that may be sources of observable gravitational radiation.

    New Foundations for Classical Mechanics

    Posted By: AvaxGenius
    New Foundations for Classical Mechanics

    New Foundations for Classical Mechanics by David Hestenes
    English | PDF | Corrected Publication In 1987 | 655 Pages | ISBN : 0792353021 | 72.6 MB

    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 Phases in Classical and Quantum Mechanics

    Posted By: AvaxGenius
    Geometric Phases in Classical and Quantum Mechanics

    Geometric Phases in Classical and Quantum Mechanics by Dariusz Chruściński
    English | PDF | 2004 | 346 Pages | ISBN : 081764282X | 22.5 MB

    This work examines the beautiful and important physical concept known as the 'geometric phase,' bringing together different physical phenomena under a unified mathematical and physical scheme.

    Theoretical Kaleidoscope (Repost)

    Posted By: AvaxGenius
    Theoretical Kaleidoscope (Repost)

    Theoretical Kaleidoscope by I. B. Khriplovich
    English | PDF | 2008 | 105 Pages | ISBN : 038775251X | 1 MB

    According to Newton, "In studies of science, examples are more useful than rules."
    With Theoretical Kaleidoscope, by Iosif Khriplovich, many concrete problems in classical mechanics, classical electrodynamics, quantum mechanics, and relativistic quantum mechanics are solved. This book is not a systematic course on theoretical physics. Rather, it uses intuitive, qualitative arguments to solve selected problems of this remarkable science.