A Student's Guide to Lagrangians and Hamiltonians
- Downloads：1520
- Type：Epub+TxT+PDF+Mobi
- Create Date：2021-07-04 09:54:05
- Update Date：2025-09-06
- Status：finish
- Author：Patrick Hamill
- ISBN：1107617529
- Environment：PC/Android/iPhone/iPad/Kindle
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Summary
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。
Reviews
WarpDrive
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The Euler-Lagrange equation， in its deceptively simple elegance， is undoubtedly one of the most powerful and beautiful equations in modern mathematical physics。 It does capture one of the most fundamental patterns in the Universe: more than just an equation， it might rightfully be considered almost like a "meta-equation"， or even more aptly a "recipe" capable of generating a huge variety of possible physical laws。This book generally does a quite decent job in developing the main conceptual and t The Euler-Lagrange equation， in its deceptively simple elegance， is undoubtedly one of the most powerful and beautiful equations in modern mathematical physics。 It does capture one of the most fundamental patterns in the Universe: more than just an equation， it might rightfully be considered almost like a "meta-equation"， or even more aptly a "recipe" capable of generating a huge variety of possible physical laws。This book generally does a quite decent job in developing the main conceptual and technical apparatus of variational calculus， and some derivations are brilliant in their conciseness and elegance。 It can be used as a refresher and/or reference book that puts elegantly together， with conciseness and remarkable smoothness， all the main elements of this extremely important subject。 Unfortunately the level of accuracy and clarity is far from homogeneous， and this is compounded by the lack of worked examples and by the presence， especially in the section on continuous systems， of a few typos （a proportion of them quite annoying， to be honest， as they tend to pop up in some of the more critical steps of the more convoluted derivations）。An overall good book， quite informative and elegantly written， with some room for improvement。 3-star rating。 。。。more
Sowmitra Das
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I would not suggest this book to any beginner。 A few topics at the beginning are well-written， but the later topics aren't good in my opinion。 Several inaccuracies in the explanations of Legendre Transforms。。。 and， many others are ill-motivated。 I guess it's good as a reminder to skim through the topics you read earlier， but， not for anything else。 I would not suggest this book to any beginner。 A few topics at the beginning are well-written， but the later topics aren't good in my opinion。 Several inaccuracies in the explanations of Legendre Transforms。。。 and， many others are ill-motivated。 I guess it's good as a reminder to skim through the topics you read earlier， but， not for anything else。 。。。more
Nemo
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