Mathematical Physics Classical Mechanics

Mathematical Physics  Classical Mechanics PDF
Author: Andreas Knauf
Publisher: Springer
ISBN: 3662557746
Size: 53.85 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 683
View: 3772

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Mathematical Physics Classical Mechanics

by Andreas Knauf, Mathematical Physics Classical Mechanics Books available in PDF, EPUB, Mobi Format. Download Mathematical Physics Classical Mechanics books, 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.


Classical Mechanics

Classical Mechanics PDF
Author: Alexei Deriglazov
Publisher: Springer Science & Business Media
ISBN: 9783642140372
Size: 67.22 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 308
View: 1314

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Classical Mechanics

by Alexei Deriglazov, Classical Mechanics Books available in PDF, EPUB, Mobi Format. Download Classical Mechanics books, 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.


Mathematica For Theoretical Physics

Mathematica for Theoretical Physics PDF
Author: Gerd Baumann
Publisher: Springer
ISBN: 9781489993236
Size: 11.93 MB
Format: PDF
Category : Science
Languages : en
Pages : 544
View: 1880

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Mathematica For Theoretical Physics

by Gerd Baumann, Mathematica For Theoretical Physics Books available in PDF, EPUB, Mobi Format. Download Mathematica For Theoretical Physics books, 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. Notebooks for problem solving and learning.


Mathematica For Theoretical Physics

Mathematica for Theoretical Physics PDF
Author: Gerd Baumann (matematika.)
Publisher: Springer Science & Business Media
ISBN: 9780387016740
Size: 59.73 MB
Format: PDF
Category : Mathematica (Computer file)
Languages : en
Pages : 942
View: 2435

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Mathematica For Theoretical Physics

by Gerd Baumann (matematika.), Mathematica For Theoretical Physics Books available in PDF, EPUB, Mobi Format. Download Mathematica For Theoretical Physics books,


Partial Differential Equations In Classical Mathematical Physics

Partial Differential Equations in Classical Mathematical Physics PDF
Author: Isaak Rubinstein
Publisher: Cambridge University Press
ISBN: 9780521558464
Size: 77.19 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 677
View: 924

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Partial Differential Equations In Classical Mathematical Physics

by Isaak Rubinstein, Partial Differential Equations In Classical Mathematical Physics Books available in PDF, EPUB, Mobi Format. Download Partial Differential Equations In Classical Mathematical Physics books, The book's combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs.


Classical Mechanics

Classical Mechanics PDF
Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 9780387951287
Size: 78.95 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 542
View: 7182

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Classical Mechanics

by Walter Greiner, Classical Mechanics Books available in PDF, EPUB, Mobi Format. Download Classical Mechanics books, This series of texts on classical theoretical physics is based on Walter Greiner's highly successful series of courses in Frankfurt am Main, Germany. The volumes provide a complete survey of the field as well as various examples and problems for students to work through.


Mathematical Methods Of Classical Mechanics

Mathematical Methods of Classical Mechanics PDF
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 1475720637
Size: 20.89 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 520
View: 983

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Mathematical Methods Of Classical Mechanics

by V.I. Arnol'd, Mathematical Methods Of Classical Mechanics Books available in PDF, EPUB, Mobi Format. Download Mathematical Methods Of Classical Mechanics books, 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.


Mathematics Of Classical And Quantum Physics

Mathematics of Classical and Quantum Physics PDF
Author: Frederick W. Byron
Publisher: Courier Corporation
ISBN: 0486135063
Size: 48.50 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 672
View: 2471

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Mathematics Of Classical And Quantum Physics

by Frederick W. Byron, Mathematics Of Classical And Quantum Physics Books available in PDF, EPUB, Mobi Format. Download Mathematics Of Classical And Quantum Physics books, 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.


Mathematical Methods Of Classical Mechanics

Mathematical Methods of Classical Mechanics PDF
Author: V. I. Arnold
Publisher: Springer Science & Business Media
ISBN: 1475716931
Size: 49.29 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 464
View: 2839

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Mathematical Methods Of Classical Mechanics

by V. I. Arnold, Mathematical Methods Of Classical Mechanics Books available in PDF, EPUB, Mobi Format. Download Mathematical Methods Of Classical Mechanics books, 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.