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Supermanifolds
428 pages, 1992
This book provides a rigorous exposition of the modern theory of super manifolds, 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 super numbers (Grassman variables), Berezin integration, super vector spaces and the super determinant. This basic material is then applied to the theory of super manifolds, 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.
Bryce Dewitt's book, Supermanifolds, provides a comprehensive exploration of supergravity. This is a concept that combines principles of quantum mechanics and general relativity. If you're interested in theoretical physics, you'll find this book a valuable resource.
Dewitt's book offers a deep look into the concept of supermanifolds. These are spaces that generalize the concept of manifolds in mathematics. The book explains this complex concept in a way that's easy to understand, even for those new to the subject.
By reading Supermanifolds, you'll get to see the significant contributions Bryce Dewitt has made to the field of physics. His work has greatly influenced the understanding and study of quantum gravity and supergravity.
You don't have to be a physicist to appreciate Supermanifolds. Dewitt has a knack for explaining complex concepts in a way that's accessible to all. So, if you're curious about theoretical physics, this book is a great place to start.
Supermanifolds is a great book for those who want to explore the universe through the lens of mathematics. Dewitt uses mathematical concepts to explain physical phenomena, making it a fascinating read for anyone interested in math and physics.
