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100   $a20161001d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aAnalytical Mechanics /$fby Carl S. Helrich
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XV, 349 p. 58 illus.) 
225 1 $aUndergraduate Lecture Notes in Physics,$x2192-4791
311 08$a3-319-44490-5 
320   $aIncludes bibliographical references and index.
327   $aHistory -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.       .
330   $aThis advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.  .
410  0$aUndergraduate Lecture Notes in Physics,$x2192-4791
606   $aMechanics
606   $aPhysics
606   $aMechanics, Applied
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
615  0$aMechanics.
615  0$aPhysics.
615  0$aMechanics, Applied.
615 14$aClassical Mechanics.
615 24$aMathematical Methods in Physics.
615 24$aTheoretical and Applied Mechanics.
676   $a531.01515
700   $aHelrich$b Carl S.$4aut$4http://id.loc.gov/vocabulary/relators/aut$0749354
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910254597703321
996   $aAnalytical mechanics$91508749
997   $aUNINA