Differential Geometry and Lie Groups for Physicists 1st Edition
Use the Amazon App to scan ISBNs and compare prices.
Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your mobile phone number.
Customers who bought this item also bought
Customers who viewed this item also viewed
Hans-Peter Künzle, Mathematical Reviews
"All basic material that is necessary for a young scientist in the field of geometrical formulation of physical theories is included ... ordered and represented in a very appropriate manner ... with a great respect to the reader. ... I truly believe that reading this book will bring a real pleasure to all physically inclined young mathematicians and mathematically inclined young physicists ... a very good high level textbook ... [I] recommend it to all young scientists being interested in finding correspondence between harmony in the physical world and harmony in geometrical structures. ... well written, very well ordered and the exposition is very clear."
Journal of Geometry and Symmetry in Physics
"the contents of this book covers a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups. particularly useful may be that the modern formalism is always related to the classical one with tensor indices still mostly used in the physics literature."
American Mathematical Society
"... the presentation is almost colloquial and this makes reading rather pleasant. The author has made a concerted effort to give intuitive interpretations of complicated ideas such as: the Lie derivative, tensors, the Hodge star operator, Lie group representations, Hamiltonian and Lagrangian mechanics, parallel transport, connections, curvature, gauge theories, spinors and Dirac operators. This will be much appreciated by students (and even researchers, I think). ... an excellent reference for geometers."
"Marián Fecko deftly guides you through the material step-by-step, with all the rigor, but without the pain. When going through the chapters, definition by definition, proof by proof and hint by hint, you get an impression of a caring, experienced (and often quirkily funny, but never boring) tutor who really, really wants you to succeed."
Sergei Slobodov, UBC for Physics in Canada
There was a problem filtering reviews right now. Please try again later.
The material of this book is very wide and about as much as Theodore frankel's book but it goes slower and is definitely better than Nakahara's book.
WARNING FOR PHYSICISTS: Be prepared to think abstractly, this might be hard if you haven't seen advanced undergraduate maths courses
The textbook expects the reader to be familiar with mathematical analysis on the level of the standard course usual in the physics undergraduate study programs. Understanding of the parts dealing with physical applications (classical mechanics and electrodynamics) expects knowledge of fundamental principles of these subjects. Organization of the book allows the reader to concern on particular part, i. e. understanding of later parts doesn't require reading of all previous parts (reading of parts concerning on the classical dynamics does not require reading of parts dealing with electrodynamics). However, relations between different subjects of the theory are explained instructively.
The main advantage of this textbook is that reader "builds" the subject himself by solving the exercises usually appended by hints. It makes all the elements of the theory natural to the reader during study. This way is a little bit more time consuming when compared with other textbooks dealing with this subject. It provides good starting point for study of mathematical aspects of the general relativity and field theories. I recommend this book to everybody who wants to understand fundamental concepts in differential geometry in detail.
Readers looking for explanations and geometrical interpretations of the abstract concepts will certainly find this book irreplaceable. Lie and covariant derivatives, parallel transport, Hodge operator, Cartan's moving frame method, Laplace-Beltrami operator, Lie groups, Maxwell equations, Clifford algebras and spin bundles, SL(2,C), Dirac operator, Momentum map etc. etc. - all introduced and explained in a concise yet clear way, with exmaples and exercises.
This book should find its place on the bookshelf of everyone interested in geometrical concepts required for understanding contemporary theoretical physics.
I recommend this book to all students and professionals. It should find its place in every university library.
Just one warning: certain mathematical symbols did not find their way to the "Index of frequently used symbols" at the end of the book. The reader trying to read the book starting from p. 600 may find it necessary to spent some time going through the earlier chapters to find out the meaning of a given symbol.