Mathematical Physics Classical Mechanics

Author : Andreas Knauf
Publisher : Springer
Page : 683 pages
File Size : 55,5 Mb
Release : 2018-02-24
Category : Science
ISBN : 9783662557747

Get Book

Mathematical Physics: Classical Mechanics by Andreas Knauf Pdf

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.

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 55,5 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9781475720631

Get Book

Mathematical Methods of Classical Mechanics by V.I. Arnol'd Pdf

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Author : Vicente Cortés,Alexander S. Haupt
Publisher : Springer
Page : 99 pages
File Size : 41,9 Mb
Release : 2017-04-26
Category : Science
ISBN : 9783319564630

Get Book

Mathematical Methods of Classical Physics by Vicente Cortés,Alexander S. Haupt Pdf

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective. As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters. In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix.

Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 43,8 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069

Get Book

Mathematics of Classical and Quantum Physics by Frederick W. Byron,Robert W. Fuller Pdf

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Author : Gerd Baumann
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 49,7 Mb
Release : 2006-01-16
Category : Science
ISBN : 9780387251134

Get Book

Mathematica for Theoretical Physics by Gerd Baumann Pdf

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Author : Wolfgang Nolting
Publisher : Springer
Page : 528 pages
File Size : 41,8 Mb
Release : 2016-06-28
Category : Science
ISBN : 9783319401089

Get Book

Theoretical Physics 1 by Wolfgang Nolting Pdf

Der Grundkurs Theoretische Physik deckt in sieben Bänden alle für Diplom- und Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester nötige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Band 1 behandelt die klassische Mechanik. Vorausgesetzt wird nur die übliche Schulmathematik, andere mathematische Hilfsmittel werden zu Beginn ausführlich erläutert. Die zweifarbig gestaltete Neuauflage wurde grundlegend überarbeitet und ergänzt.

Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 47,9 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322

Get Book

Physics for Mathematicians by Michael Spivak Pdf

Author : V. I. Arnold
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 52,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475716931

Get Book

Mathematical Methods of Classical Mechanics by V. I. Arnold Pdf

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.

Author : Tulsi Dass,S.K. Sharma
Publisher : Universities Press
Page : 718 pages
File Size : 52,5 Mb
Release : 1998
Category : Mathematical physics
ISBN : 8173710899

Get Book

Mathematical Methods In Classical And Quantum Physics by Tulsi Dass,S.K. Sharma Pdf

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.

Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 40,7 Mb
Release : 2010-10-17
Category : Mathematics
ISBN : 9780817646486

Get Book

Classical Mechanics by Emmanuele DiBenedetto Pdf

* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries

Author : Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 53,6 Mb
Release : 2007-07-05
Category : Mathematics
ISBN : 9783540489269

Get Book

Mathematical Aspects of Classical and Celestial Mechanics by Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt Pdf

The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.

Author : Alexei Deriglazov
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 46,6 Mb
Release : 2010-08-28
Category : Science
ISBN : 9783642140372

Get Book

Classical Mechanics by Alexei Deriglazov Pdf

Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Author : Matthew J. Benacquista,Joseph D. Romano
Publisher : Springer
Page : 546 pages
File Size : 48,5 Mb
Release : 2018-02-27
Category : Science
ISBN : 9783319687803

Get Book

Classical Mechanics by Matthew J. Benacquista,Joseph D. Romano Pdf

This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.

Author : Patrick Hamill
Publisher : Cambridge University Press
Page : 185 pages
File Size : 42,9 Mb
Release : 2014
Category : Mathematics
ISBN : 9781107042889

Get Book

A Student's Guide to Lagrangians and Hamiltonians by Patrick Hamill Pdf

A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Author : Kai S Lam
Publisher : World Scientific Publishing Company
Page : 592 pages
File Size : 45,7 Mb
Release : 2014-07-07
Category : Science
ISBN : 9789814551502

Get Book

Fundamental Principles of Classical Mechanics by Kai S Lam Pdf

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).