The Geometrization of Physics by Richard S. Palais - Free PDF
Share this page:-
We need Your Support, Kindly Share this Web Page with Other Friends
About this book :-
This short book is based on lectures Palais gave on the general subject of “gauge field theory” in 1981. It explains how we can use geometry (the kind you study in advanced math ) to better understand how forces like gravity and electricity work.
The main idea is that many physical forces can be seen as shapes and connections in space. This is called gauge theory. Instead of thinking about forces as just push and pull, Palais shows how they can be described using curves, surfaces, and more complex geometric objects.
He also talks about how gravity and electromagnetism might be part of a bigger, combined system—an idea from something called Kaluza–Klein theory.
The major goal of these notes is to develop an observation that not only can gauge fields of the Yang-Mills type be unified with the Einstein model of gravitation, but also that when this unification is made they are described by pure geometry.
Book Detail :-
This book has following details information.
Title:
The Geometrization of Physics by Richard S. Palais - Free PDF
Publisher:
University of California at Irvine
Year:
1981
Pages:
107
Type:
PDF
Language:
English
ISBN-10 #:
2865450074
ISBN-13 #:
978-2865450077
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
This book has following table of contents.
1. Outline of smooth vector bundle theory.
2. Connections and curvature tensors (alias gauge potential and gauge fields.
3. Characteristic classes and the Chern-Weil homomorphism.
4. The principal bundle formalism and the gauge transformation group.
5. Lagrangian field theories.
6. Symmetry principles and conservation laws.
7. Gauge fields and minimal coupling.
8. Electromagnetism as a gauge field theory.
9. Yang-Mills fields and Utiyama’s theorem.
10. General relativity as a Lagrangian field theory.
11. Coupling gravitation to Yang-Mills fileds (generalized Kaluza-Klein theories.
12. Spontaneous symmetry breaking (Higg’s Mechanism.
13. Self-dual fields, instantons, vortices, monopoles.
Note :-
We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn.
If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS.
Thank you.
Similar
Geometry and Physics
Books
|
Geometry and Topology in Electronic Structure Theory
This is a set of advanced lecture notes by physicist Raffaele Resta. It is best for the graduate physics courses and explains how certain mathematical ideas (like geometry and topology) help us understand the electronic properties of materials—espec . . . READ MORE
|
|
|
First Steps Towards a Symplectic Dynamics, Bramham -PDF
A long time ago, these two fields - symplectic geometry (which comes from physics and helps describe the shape of space) and dynamical systems (which studies how things move or evolve) were closely connected. But over the years, they drifted apart. B . . . READ MORE
|
|
|
The Edinburgh Lectures on Geometry Michael Atiyah - PDF
The Edinburgh Lectures on Geometry, Analysis and Physics by Sir Michael Atiyah are a series of six talks he gave in 2008–2009 at the University of Edinburgh. In these lectures, Atiyah explored how ideas from geometry and analysis connect deeply with . . . READ MORE
|
|
|
Lectures on Calabi-Yau and Special Lagrangian Geometry
This book is an introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian geometry. Yau Manifolds are special shapes (call . . . READ MORE
|
|
|
Complex geometry, Calabi-Yau manifolds, Toric Geometry
This book is a helpful guide for anyone studying complex geometry, especially those interested in string theory. It explains difficult ideas in a way that’s easy to understand, and it’s a good resource for students or researchers who want to learn mo . . . READ MORE
|
|