Title
Supermanifolds (Cambridge Monographs On Mathematical Physics),New
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This Is An Updated And Expanded Second Edition Of A Successful And Wellreviewed Text Presenting A Detailed Exposition Of The Modern Theory Of Supermanifolds, Including A Rigorous Account Of The Superanalogs 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 Superanalogs 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 Bosefermi 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 Cherngaussbonnet Formula For The Eulerpoincar 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.
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- Q: What are the dimensions of 'Supermanifolds'? A: The book measures six inches in length, one point zero eight inches in width, and nine inches in height. These dimensions make it a standard-sized paperback for easy handling.
- Q: How many pages does 'Supermanifolds' have? A: This book contains four hundred thirty-two pages. It provides a comprehensive exploration of the theory of supermanifolds.
- Q: What type of binding does 'Supermanifolds' use? A: The book features a paperback binding. This is common for academic texts, offering flexibility and ease of use.
- Q: Who is the author of 'Supermanifolds'? A: The author is Bryce DeWitt. He is well-known for his contributions to mathematical physics.
- Q: What is the main subject of 'Supermanifolds'? A: The book focuses on the modern theory of supermanifolds. It covers advanced topics in mathematical physics and geometry.
- Q: Is 'Supermanifolds' suitable for beginners? A: No, it is not primarily suited for beginners. The text is designed for readers with a strong foundation in mathematics and physics.
- Q: What advanced topics does 'Supermanifolds' cover? A: The book discusses super Lie groups, super algebras, and applications in quantum systems. It also examines the topology of configuration supermanifolds.
- Q: Are there exercises included in 'Supermanifolds'? A: Yes, the book includes many exercises. These are designed to complement the theoretical material and enhance understanding.
- Q: How should 'Supermanifolds' be stored? A: Store the book in a dry location, standing upright. This helps prevent bending or damage to the spine and pages.
- Q: Can 'Supermanifolds' be used as a reference book? A: Yes, it can serve as an excellent reference book. It provides detailed explanations and discussions on various aspects of supermanifolds.
- Q: Is 'Supermanifolds' appropriate for academic study? A: Yes, it is highly appropriate for academic study. The book is frequently used in graduate courses in mathematics and physics.
- Q: What is the condition of 'Supermanifolds' if purchased used? A: It is described as a used book in good condition. This indicates that it has been well-maintained but may show some signs of wear.
- Q: What publisher released 'Supermanifolds'? A: The book is published by Cambridge University Press. This publisher is renowned for its scholarly publications.
- Q: Does 'Supermanifolds' include new content in the second edition? A: Yes, the second edition includes new chapters and expanded content. This makes it a valuable update for readers.
- Q: What mathematical structures are explored in 'Supermanifolds'? A: The book explores super-analogs of Lie derivatives, connections, metrics, and curvature. These are essential concepts in differential geometry.