This account of basic manifold theory and global analysis, based on senior undergraduate and post-graduate courses at Glasgow University for students and researchers in theoretical physics, has been proven over many years. The treatment is rigorous yet less condensed than in books written primarily for pure mathematicians. Prerequisites include knowledge of basic linear algebra and topology. Topology is included in two appendices because many courses on mathematics for physics students do not include this subject.
Contents: Vector spaces; Tensor algebra; Differential manifolds; Vector and tensor fields on a manifold; Exterior differential forms; Differentiation on a manifold; Pseudo-Riemannian and Riemannian manifolds; Symplectic manifolds; Lie groups; Integration on a manifold; Fibre bundles; Complex linear algebra and almost complex manifolds.
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This blend of local coordinate methods and intrinsic differential geometry enables workers to read and do calculations in relativity and high energy particle research. It provides foundations for study in gauge theory, differential geometry and differential topology. --Mathematical ReviewsAbout the Author:
Daniel Martin, Glasgow University, UK
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Book Description Ellis Horwood (Simon and Schuster), New York, New York, 1991. Hardcover--illustrated boards. Book Condition: Fine. First printing. Octavo 9 3/4" tall, 423 pages, illustrated boards. A fine, clean, neat hard cover first edition with slight shelf wear; hinges and binding tight, paper white. Without dust jacket. This book is part of a larger group of several hundred science books from one collection, currently in the process of being catalogued. This special collection may be referenced with the word 'Wong' in the description field as new titles are added. tc. Bookseller Inventory # 16940
Book Description Ellis Horwood Ltd, 1991. Hardcover. Book Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0000599480