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Lagrangian & Hamiltonian dynamics

Author: Peter Mann
Publisher: Oxford, United Kingdom : Oxford University Press, 2018. ©2018
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
"An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also  Read more...
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Document Type: Book
All Authors / Contributors: Peter Mann
ISBN: 0198822375 9780198822370 0198822383 9780198822387
OCLC Number: 1016938621
Description: xiv, 538 pages : illustrations (some color), portraits ; 25 cm
Contents: Part I: Newtonian Mechanics1: Introduction2: Newton's Three Laws3: Energy and Work4: Introductory Rotational Dynamics5: The Harmonic Oscillator6: Wave Mechanics & Elements of Mathematical PhysicsPart II: Langrangian Mechanics7: Introduction8: Coordinates & Constraints9: The Stationary Action Principle10: Constrained Langrangian Mechanics11: Point Transformations in Langrangian Mechanics12: The Jacobi Energy Function13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory14: Near-Equilibrium Oscillations15: Virtual Work & d'Alembert's PrinciplePart III: Canonical Mechanics16: Introduction17: The Hamiltonian & Phase Space18: Hamiltonian's equations & Routhian Reduction19: Poisson Brackets & Angular momentum20: Canonical & Gauge Transformations21: Hamilton-Jacobi Theory22: Liouville's Theorem & Classical Statistical Mechanics23: Constrained Hamiltonian Dynamics24: Autonomous Geometrical Mehcanics25: The Structure of Phase Space26: Near-Integrable SystemsPart IV: Classical Field Theory27: Introduction28: Langrangian Field Theory29: Hamiltonian Field Theory30: Clssical Electromagnetism31: Neother's Theorem for Fields32: Classical Path-IntegralsPart V: Preliminary Mathematics33: The (Not so?) Basics34: Matrices35: Partial Differentiation36: Legendre Transformations37: Vector Calculus38: Differential equations39: Calculus of VariationsPart VI: Advanced Mathematics40: Linear Algebra41: Differential GeometryPart VII: Exam Style QuestionsAppendix A: Noether's Theorem ExploredAppendix B: The Action Principle ExploredAppendix C: Useful RelationsAppendxi D: Poisson & Nambu Brackets ExploredAppendix: Canonical Transformations ExploredAppendix F: Action-Angle Variables ExploredAppendix G: Statistical Mechanics ExploredAppendix H: Biographies
Other Titles: Lagrangian and Hamiltonian dynamics
Responsibility: Peter Mann, University of St Andrews.

Abstract:

The book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The  Read more...

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