Join Amazon Prime and ship Two-Day for free and Overnight for $3.99. Already a member? Sign in.
|
Frequently Bought Together
Customers Who Bought This Item Also Bought
Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (Chicago Lectures in Physics) by Robert M. Wald |
by Elias Kiritsis
|
Superstring Theory: Volume 1, Introduction (Cambridge Monographs on Mathematical Physics) by Michael B. Green |
by Michael B. Green
|
Introduction to Superstrings and M-Theory (Graduate Texts in Contemporary Physics) by Michio Kaku |
Editorial Reviews
Review
"...destined to become the standard work for all serious study of super-symmetric theories of physics." Nature
"The material is not presented in the manifestly rigorous style of modern mathematics, but in a style which in my opinion is entirely appropriate for the presentation of serious new mathematics to theoretical physicists; explanations are always admirably lucid, and the motivation for each step is clearly described. Alice Rogers, Mathematical Reviews
"I recommend the book to those hardy souls who wish to venture out into the stormy waters of current particle theory." Arthur S. Wightman, Physics Today
Product Description
This is an updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassman variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of super-analogs of Lie derivatives, connections, metric, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The book then turns to applications. Chapter 5 contains an account of the Peierals bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose-Fermi supersymmetry. The sixth and final chapter, which is new in this revised edition, examines dynamical systems for which the topology of the configuration supermanifold is important. A concise but complete account is given of the pathintegral derivation of the Chern-Gauss-Bonnet formula for the Euler-Poincaré characteristic of an ordinary manifold, which is based on a simple extension of a point particle moving freely in this manifold to a supersymmetric dynamical system moving in an associated supermanifold. Many exercises are included to complement the text.
See all Editorial Reviews
"...destined to become the standard work for all serious study of super-symmetric theories of physics." Nature
"The material is not presented in the manifestly rigorous style of modern mathematics, but in a style which in my opinion is entirely appropriate for the presentation of serious new mathematics to theoretical physicists; explanations are always admirably lucid, and the motivation for each step is clearly described. Alice Rogers, Mathematical Reviews
"I recommend the book to those hardy souls who wish to venture out into the stormy waters of current particle theory." Arthur S. Wightman, Physics Today
Product Description
This is an updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassman variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of super-analogs of Lie derivatives, connections, metric, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The book then turns to applications. Chapter 5 contains an account of the Peierals bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose-Fermi supersymmetry. The sixth and final chapter, which is new in this revised edition, examines dynamical systems for which the topology of the configuration supermanifold is important. A concise but complete account is given of the pathintegral derivation of the Chern-Gauss-Bonnet formula for the Euler-Poincaré characteristic of an ordinary manifold, which is based on a simple extension of a point particle moving freely in this manifold to a supersymmetric dynamical system moving in an associated supermanifold. Many exercises are included to complement the text.
See all Editorial Reviews
Product Details
Would you like to update product info or give feedback on images?
|
Inside This Book
(learn more)
First Sentence:
The algebra is called a Grassmann algebra and will be denoted by. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
basis supervectors, nonvanishing body, supervector space, zero supervector, supercommutator function, supercommutation relations, superanalytic functions, operator dynamical equations, soul subspaces, tensor field vanishes, operator superalgebra, nonvanishing structure constants, supersymmetry group, contravariant vector fields, super lie algebra, supermanifold theory, fermi oscillator, metric tensor field, pure basis, extending representation, curvature tensor field, local frame field, covariant vector field, stationary trajectory, arbitrary scalar field Key Phrases - Capitalized Phrases (CAPs): (learn more)
Van Vleck-Morette, Theorem Every New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The algebra is called a Grassmann algebra and will be denoted by. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
basis supervectors, nonvanishing body, supervector space, zero supervector, supercommutator function, supercommutation relations, superanalytic functions, operator dynamical equations, soul subspaces, tensor field vanishes, operator superalgebra, nonvanishing structure constants, supersymmetry group, contravariant vector fields, super lie algebra, supermanifold theory, fermi oscillator, metric tensor field, pure basis, extending representation, curvature tensor field, local frame field, covariant vector field, stationary trajectory, arbitrary scalar field Key Phrases - Capitalized Phrases (CAPs): (learn more)
Van Vleck-Morette, Theorem Every New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 14
books:
See all 14 books this book cites
- Advanced General Relativity (Cambridge Monographs on Mathematical Physics) by John Stewart in Front Matter
- Scattering from Black Holes (Cambridge Monographs on Mathematical Physics) by J. A. H. Futterman in Front Matter
- Basic Concepts of Algebraic Topology (Undergraduate Texts in Mathematics) by F.H. Croom on page 337
- The Wave Equation on a Curved Space-Time (Cambridge Monographs on Mathematical Physics) by F. G. Friedlander in Front Matter
- Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology (Cambridge Monographs on Mathematical Physics) by Michael B. Green in Front Matter
See all 14 books this book cites
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Help others find this product — tag it for Amazon search
No one has tagged this product for Amazon search yet. Why not be the first to suggest a search for which it should appear?
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Reviews
There are no customer reviews yet. Create your own review
| |||
Video reviews
|
 |
Customer Discussions
Beta (What's this?)
New! See all customer communities, and bookmark your communities to keep track of them.
|
This product's forum
(0 discussions)
Ask questions, Share opinions, Gain insight
Active discussions in related forums
|
||||||||||||||||||||||||||||||||||||||||||
Product Information from the Amapedia Community
Beta (What's this?)Be the first person to add an article about this item at Amapedia.com.
› See featured Amapedia.com articles
Listmania!
So You'd Like to...
|
|
Look for Similar Items by Category
Items Eligible for Free Super Saver Shipping |
Summer Reading for Kids & Teens |
|||||||||
|
Your Recent History
(What's this?)|
You have no recently viewed items or searches.
After viewing product detail pages or search results, look here to find an easy way to navigate back to pages you are interested in. Look to the right column to find helpful suggestions for your shopping session. |
Continue shopping: Top Sellers
| ||||
| ||
| ||
| ||
| ||
| ||
