This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a. Title, Gauge Fields, Knots and Gravity Volume 4 of K & E series on knots and everything. Author, John C. Baez. Edition, reprint. Publisher, World Scientific, Gauge Fields, Knots and Gravity has 44 ratings and 3 reviews. Jon said: This text is aimed at undergraduates, but I would readily recommend it to grad st.
The Belgian rated it it was amazing Aug 29, The Best Books of Check out the top books of the year on our page Best Books of It can be read by advanced undergraduates, as it assumes nothing more than gravihy calculus and linear algebra, but as it is usually said, some “mathematical maturity” would also help. Product details Format Hardback pages Dimensions The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations.
My ideal textbook is somehow both pedagogical and an excellent reference, an almost impossible feat to achieve. David Keirsey rated it liked it Sep 16, The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a fielfs language for formulating Maxwell’s equations on arbitrary spacetimes.
It shows you all the mathematical bricks you need to know in order to build your understanding some of the most advanced theories in Physics.
Gauge Fields, Knots, and Gravity. Eduardo rated it gravith liked it Feb 15, The book starts from basics and explain all the prerequisites, such as differential geometry, knot theory, gauge theory, ele It is a well-known fact that our two important physical models, general relativity and quantum mechanics don’t agree together, or in more general sense there is no compatible model which includes all the forces in the nature, including gravity, into account at the same time.
While I had wished that some topics had more written on them when do you ever not?
Gauge Fields, Knots, and Gravity – John C. Baez, Javier P. Muniain, P Muniain Javier – Google Books
David John Warwick Simpson. The lost star is just because I can’t see myself ever opening the book again now that I’ve read it once unless I decide to read the quantum fislds section. From Order To Chaos – Essays: Open Preview See a Problem? Riemannian geometry joyn then introduced in order to describe Einstein’s equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
I read this little book some years ago and I really enjoyed. Mark rated it it was amazing Mar 16, Evgueni Alexeev rated it it was amazing Jun 06, The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell’s equations on arbitrary spacetimes.
Gauge Fields, Knots And Gravity
Thanks for telling us about the problem. The example of the electromagnetism, rewritting the Maxwell equations in the language of differential forms is very well done. Nathaniel Pitzer rated it liked it Mar 13, Trivia About Gauge Fields, Kno It seems that knots could be involved in the unification of General Relativity and Quantum Mechanics.
It is very pedagogical and won’t be a very useful reference to have around. Table of contents Electromagnetism: A change of a topological property that creates a really big problem and literally divides physics in two.
The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Account Options Sign in. BaezJavier P.
Review quote “This book is a great introduction to many of the modern ideas of mathematical physics including differential geometry, group theory, knot theory and topology. Jessica Zu rated it really liked it May 31, The explanation of the concept of fiber bundle is also brilliant, taking into consideration that it’s a difficult concept.
The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. Fiields Delporte rated it it was amazing Nov 03, I also didn’t read the section on quantum gravity yet since I’m not very interested in it.
Muniain No preview available – To see what your friends thought of this book, please sign up. It is an advantage since it is self-contained. Refresh and try again.