Advanced Mechanics Book: Diff Geom Approach

AI Thread Summary
A discussion on finding a book that covers classical mechanics using differential geometry, similar to Goldstein's work, highlights the availability of various resources tailored to different levels of understanding in differential geometry, particularly symplectic geometry. Several recommended texts and online resources are provided, emphasizing that they do not require prior knowledge of differential geometry but focus on applying it to mechanics. The conversation reflects a keen interest in bridging classical mechanics with advanced mathematical frameworks.
NeroKid
Messages
44
Reaction score
0
hello guys, I am wondering whether there's any book on classical mechanics on the level of Goldstein but using differential geometry language, no need for introducing to the differential geometry subject but mostly on how to analyse mechanics using it, tks
 
Physics news on Phys.org
Hi Nero! There are a wealth of books on that at different levels depending on how much differential geometry, particularly symplectic geometry, you already know. Some examples of introductory texts/notes:
https://www.amazon.com/dp/0387968903/?tag=pfamazon01-20
https://www.amazon.com/dp/0817641459/?tag=pfamazon01-20
http://math.ucr.edu/home/baez/classical/
https://www.amazon.com/dp/0521636361/?tag=pfamazon01-20
https://www.amazon.com/dp/0387406158/?tag=pfamazon01-20
https://www.amazon.com/dp/038798643X/?tag=pfamazon01-20
 
Last edited by a moderator:
tks for your recommendation
 

Thread '"WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians'

The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
View full post »

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Similar threads

Classical Which books are good for reviewing classical mechanics?
Replies
17
Views
2K
Classical Source recommendation on Differential Geometry
Replies
6
Views
3K
Advice on Resources -- A really good classical mechanics book?
Replies
9
Views
3K
Classical A replacement for Mcauley's Classical mechanics
Replies
1
Views
1K
Advanced elasticity book recommendation
Replies
4
Views
3K
Quantum Finding the Perfect Self-Study Book for Intro Stats & Quantum Mechanics
Replies
17
Views
3K
Quantum Better advanced Quantum Mechanics book than Sakurai?
Replies
1
Views
3K
Geometry Geometrical books (differential geometry, tensors, variational mech.)
Replies
2
Views
2K
Classical Which classical mechanics book has better content?
Replies
20
Views
17K
Quantum Math Textbooks to Read Before Starting QFT
Replies
9
Views
4K

Hot Threads

Recent Insights

Back
Top