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 timehonored 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).Contents: Vectors, Tensors, and Linear TransformationsExterior Algebra: Determinants, Oriented Frames and Oriented VolumesThe HodgeStar Operator and the Vector Cross ProductKinematics and Moving Frames: From the Angular Velocity to Gauge FieldsDifferentiable Manifolds: The Tangent and Cotangent BundlesExterior Calculus: Differential FormsVector Calculus by Differential FormsThe Stokes TheoremCartan's Method of Moving Frames: Curvilinear Coordinates in ?3Mechanical Constraints: The Frobenius TheoremFlows and Lie DerivativesNewton's Laws: Inertial and Noninertial FramesSimple Applications of Newton's LawsPotential Theory: Newtonian GravitationCentrifugal and Coriolis ForcesHarmonic Oscillators: Fourier Transforms and Green's FunctionsClassical Model of the Atom: Power SpectraDynamical Systems and Their StabilitiesManyParticle Systems and the Conservation PrinciplesRigidBody Dynamics: The EulerPoisson Equations of MotionTopology and Systems with Holonomic Constraints: Homology and de Rham CohomologyConnections on Vector Bundles: Affine Connections on Tangent BundlesThe Parallel Translation of Vectors: The Foucault PendulumGeometric Phases, Gauge Fields, and the Mechanics of Deformable Bodies: The "Falling Cat" ProblemForce and CurvatureThe GaussBonnetChern Theorem and HolonomyThe Curvature Tensor in Riemannian GeometryFrame Bundles and Principal Bundles, Connections on Principal BundlesCalculus of Variations, the EulerLagrange Equations, the First Variation of Arclength and GeodesicsThe Second Variation of Arclength, Index Forms, and Jacobi FieldsThe Lagrangian Formulation of Classical Mechanics: Hamilton's Principle of Least Action, Lagrange Multipliers in Constrained MotionSmall Oscillations and Normal ModesThe Hamiltonian Formulation of Classical Mechanics: Hamilton's Equations of MotionSymmetry and ConservationSymmetric TopsCanonical Transformations and the Symplectic GroupGenerating Functions and the HamiltonJacobi EquationIntegrability, Invariant Tori, ActionAngle VariablesSymplectic Geometry in Hamiltonian Dynamics, Hamiltonian Flows, and PoincareCartan Integral InvariantsDarboux's Theorem in Symplectic GeometryThe KolmogorovArnoldMoser (KAM) TheoremThe Homoclinic Tan
About Kai S Lam
Regrettably, at this time we cannot give you information regarding this Founder Kai S Lam. However, this does not necessarily mean we are unsuccessful on her behalf variety. We also request that you simply allow us to on this make a difference. If you have sparetime and desire will certainly profoundly enjoy in case you give all of us your information. When receiving these kinds of comments and info from end users about the Fundamental Principles of Classical Mechanics Publisher Kai S Lam, most of us initially your ex examine. After we make sure that just about all correct, only article it. We fully grasp this enable and also thanks in advance.Details Book
Author  :  Kai S Lam 
Publisher  :  World Scientific Publishing Company 
Data Published  :  02 July 2014 
ISBN  :  9814551503 
EAN  :  9789814551502 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  592 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
Reviews Fundamental Principles of Classical Mechanics

Margo Anderson Get eBook Fundamental Principles of Classical Mechanics
Finally I get this ebook, thanks for all these I can get now!

Lisa Doran Best website free download ebook
I was suspicious at first when i got redirected to the membership site. Now I'm really excited i found this online library....many thanks Kisses

Markus Jensen How to download Fundamental Principles of Classical Mechanics eBook?
I did not think that this would work, my best friend showed me this website, and it does! I get my most wanted eBook

Roddy Murray
My friends are so mad that they do not know how I have all the high quality ebook which they do not!

Lukasz Czaru
so many fake sites. this is the first one which worked! Many thanks


Andrew Smith
Just select your click then download link, and complete an offer to start downloading the ebook. If there is a survey it only takes 5 minutes, try any survey which works for you.

Kevin Mason
lol it did not even take me 5 minutes at all! XD

