Lagrangian Interaction: An Introduction To Relativistic Symmetry In Electrodynamics And Gravitation (Brooks/Cole Series in Educational) 1st Edition by Noel Doughty (PDF)

Description

This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This textbook should be better known than it is. The text is replete with exercises: these occur as you read (including outlines and hints for their solution). That is sound pedagogy ! Prose enlivened with historical vignettes (Hamilton, page 299). Symmetry evident early and throughout (groups, page 59).Part two is where the “action” begins full-on (Lagrangians, chapter eight). You reach Maxwell equations chapter 18, so a leisurely paced exposition indeed (you secure firm foundation before difficult things). There is discussion of Newtonian field equations (pages 138-143) and discussion of Noether’s theorem for Newtonian fields (page 219). You get an introduction to gravitation as spin-two field, surely unusual for an undergraduate exposition (pages 466-491). You ‘derive’ Schrodinger Lagrangian with a little help from Doughty (page 216). Doughty does not introduce path integrals (look to Shankar). There is a discussion of permutation pseudotensor (page 289, with exercises). There is discussion of helicity for massless particles (pages 323). An exercise will ask you “why phi-three field is uninteresting ? ” (page 346).There is an extensive bibliography (599 entries). Doughty’s strength is in presenting foundations in some depth rather than attempting to be encyclopedic. This book serves as an introduction to later expositions (Zee: QFT, Einstein Gravity, Groups). I refer the interested reader to an article, “Kaluza-Klein unification and the Fierz-Pauli weak-field limit” (Schwarz and Doughty, 1990, American Journal of Physics).That article will whet your appetite. Doughty is to be commended for a thoughtful, lucid exposition.Highly recommended for enrichment.

⭐I was expecting something along the lines of an updated Lanczos (The Variational Principles of Mechanics). But the emphasis here is very much on relativistic symmetries. Actually the book reminds me somewhat of Penrose’s _Road to Reality_ and — perhaps a better comparison — Longair’s _Theoretical Concepts in Physics_, with a mix of popular and semi-popular exposition, historical background, and more detailed mathematical exposition, but with a focus on relativistic symmetry (which still allows for a pretty wide-ranging number of topics in physics).One complaint: the paper, printing and artwork are rather poor for a $45 paperback. Oxford and Cambridge Press, for example, produce much higher quality paperbacks in this price range. I’ve knocked off a star for that.

⭐Very well written book. Brings some historical context to where the ideas came from.

⭐This is an excellent book. It is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.

⭐This is work is comprehensive, easy to follow, and well-formatted. It is an excellent introduction to the action principle. It also serves as a great primer for the mathematics of special relativity, 4-vectors, vector fields and tensors. It is a shame that it doesn’t go very far into GR (from the least action perspective) though.

⭐noel doughty had a surburb reputation as a very thorough teacher and this book is our record of his work in one such area, it is a difinitive summary of his insights into much of relativity and particle theory I recommend itG E STEDMANdiagram tehniques in group theory and’An orthodox understanding of the Bible with Physical science’

⭐great

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