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Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research.
"Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.
"Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.
Reprint of the Academic Press, London, 1983 edition.
properties of space; physics; mathematics; applied mathematics; theoretical physics; set theory; dimension; transformation; condensed matter physics; gravity; particle physics; relative position of figures; lengths; areas; and volumes; physical motivations; statistical mechanics; elementary particle theory; differential forms; homotopy; homology; cohomology; fiber bundles; connection and covariant derivatives; morse theoryDescription
Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research.
"Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.
"Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.
Reprint of the Academic Press, London, 1983 edition.
properties of space; physics; mathematics; applied mathematics; theoretical physics; set theory; dimension; transformation; condensed matter physics; gravity; particle physics; relative position of figures; lengths; areas; and volumes; physical motivations; statistical mechanics; elementary particle theory; differential forms; homotopy; homology; cohomology; fiber bundles; connection and covariant derivatives; morse theory











