Mathematical Physics: Classical Mechanics

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Publisher : Springer
ISBN 13 : 3662557746
Total Pages : 683 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Mathematical Physics: Classical Mechanics by : Andreas Knauf

Download or read book Mathematical Physics: Classical Mechanics written by Andreas Knauf and published by Springer. This book was released on 2018-02-24 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods of Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475720637
Total Pages : 530 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Methods of Classical Mechanics by : V.I. Arnol'd

Download or read book Mathematical Methods of Classical Mechanics written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods of Classical Physics

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Publisher : Springer
ISBN 13 : 3319564633
Total Pages : 99 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematical Methods of Classical Physics by : Vicente Cortés

Download or read book Mathematical Methods of Classical Physics written by Vicente Cortés and published by Springer. This book was released on 2017-04-26 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics of Classical and Quantum Physics

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Publisher : Courier Corporation
ISBN 13 : 0486135063
Total Pages : 674 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics of Classical and Quantum Physics by : Frederick W. Byron

Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron and published by Courier Corporation. This book was released on 2012-04-26 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646485
Total Pages : 364 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Classical Mechanics by : Emmanuele DiBenedetto

Download or read book Classical Mechanics written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2010-10-17 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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

Physics for Mathematicians

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Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)

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Book Synopsis Physics for Mathematicians by : Michael Spivak

Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Physics 1

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Publisher : Springer
ISBN 13 : 3319401084
Total Pages : 528 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theoretical Physics 1 by : Wolfgang Nolting

Download or read book Theoretical Physics 1 written by Wolfgang Nolting and published by Springer. This book was released on 2016-06-28 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Phases in Classical and Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817681760
Total Pages : 337 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Phases in Classical and Quantum Mechanics by : Dariusz Chruscinski

Download or read book Geometric Phases in Classical and Quantum Mechanics written by Dariusz Chruscinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Mathematica for Theoretical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387251138
Total Pages : 400 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematica for Theoretical Physics by : Gerd Baumann

Download or read book Mathematica for Theoretical Physics written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Foundations for Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400948026
Total Pages : 655 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis New Foundations for Classical Mechanics by : D. Hestenes

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.

Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218513
Total Pages : 488 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Classical Mechanics by : Walter Greiner

Download or read book Classical Mechanics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.

Mathematical Topics Between Classical and Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 146121680X
Total Pages : 547 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Topics Between Classical and Quantum Mechanics by : Nicholas P. Landsman

Download or read book Mathematical Topics Between Classical and Quantum Mechanics written by Nicholas P. Landsman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

A Complete Course on Theoretical Physics

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Publisher : Springer
ISBN 13 : 3030043606
Total Pages : 638 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis A Complete Course on Theoretical Physics by : Albrecht Lindner

Download or read book A Complete Course on Theoretical Physics written by Albrecht Lindner and published by Springer. This book was released on 2018-12-30 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.

A Student's Guide to Lagrangians and Hamiltonians

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Publisher : Cambridge University Press
ISBN 13 : 1107042887
Total Pages : 185 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis A Student's Guide to Lagrangians and Hamiltonians by : Patrick Hamill

Download or read book A Student's Guide to Lagrangians and Hamiltonians written by Patrick Hamill and published by Cambridge University Press. This book was released on 2014 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Mathematical Methods of Classical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475716931
Total Pages : 469 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Methods of Classical Mechanics by : V. I. Arnold

Download or read book Mathematical Methods of Classical Mechanics written by V. I. Arnold and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theoretical Minimum

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Publisher : Basic Books
ISBN 13 : 0465038921
Total Pages : 165 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Theoretical Minimum by : Leonard Susskind

Download or read book The Theoretical Minimum written by Leonard Susskind and published by Basic Books. This book was released on 2014-04-22 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Mathematical Methods In Classical And Quantum Physics

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Publisher : Universities Press
ISBN 13 : 9788173710896
Total Pages : 718 pages
Book Rating : 4.7/5 (18 download)

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Book Synopsis Mathematical Methods In Classical And Quantum Physics by : Tulsi Dass

Download or read book Mathematical Methods In Classical And Quantum Physics written by Tulsi Dass and published by Universities Press. This book was released on 1998 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.