A Students Guide To Lagrangians And Hamiltonians

Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 1107042887
Total Pages : 185 pages
Book Rating : 4.89/5 ( download)

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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.

Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 1107660297
Total Pages : 185 pages
Book Rating : 4.98/5 ( download)

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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 2013-11-21 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler–Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton–Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 9781107617520
Total Pages : 181 pages
Book Rating : 4.29/5 ( download)

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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 2013-11-21 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

Author : Melvin G Calkin
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105410
Total Pages : 240 pages
Book Rating : 4.16/5 ( download)

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Download or read book Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises written by Melvin G Calkin and published by World Scientific Publishing Company. This book was released on 1999-03-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.

Author : Don S. Lemons
Publisher : Cambridge University Press
ISBN 13 : 1107470048
Total Pages : 195 pages
Book Rating : 4.40/5 ( download)

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Download or read book A Student's Guide to Entropy written by Don S. Lemons and published by Cambridge University Press. This book was released on 2013-08-29 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.

Author : Taeyoung Lee
Publisher : Springer
ISBN 13 : 3319569538
Total Pages : 539 pages
Book Rating : 4.36/5 ( download)

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Download or read book Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds written by Taeyoung Lee and published by Springer. This book was released on 2017-08-14 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.

Author : Peter Mann
Publisher : Oxford University Press
ISBN 13 : 0198822375
Total Pages : 553 pages
Book Rating : 4.70/5 ( download)

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Download or read book Lagrangian and Hamiltonian Dynamics written by Peter Mann and published by Oxford University Press. This book was released on 2018 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.

Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 1009098470
Total Pages : 617 pages
Book Rating : 4.72/5 ( download)

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Download or read book Intermediate Dynamics written by Patrick Hamill and published by Cambridge University Press. This book was released on 2022-04-21 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive but accessible advanced undergraduate treatment of classical mechanics, adaptable to a one or two-semester course.

Author : Daniel Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1107054869
Total Pages : 231 pages
Book Rating : 4.68/5 ( download)

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Download or read book A Student's Guide to Waves written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2015-04-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

Author : Sanjoy Mahajan
Publisher : Cambridge University Press
ISBN 13 : 1108471145
Total Pages : 215 pages
Book Rating : 4.45/5 ( download)

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Download or read book A Student's Guide to Newton's Laws of Motion written by Sanjoy Mahajan and published by Cambridge University Press. This book was released on 2020-06-18 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.