Geometry, Topology and Physics, Third Edition

Mikio Nakahara (Autor)

Buch | Softcover

672 Seiten

2025 | 3rd edition
Crc Press Inc (Verlag)
978-1-4398-4071-9 (ISBN)

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Covering recent developments in the field, this updated text provides an introduction to the ideas and techniques of differential geometry and topology. In this edition, the applications have been greatly expanded and additional problems have been included. The author examines anomalies in gauge field theories, bosonic string theory, Brane-World cosmology, Seiberg-Witten invariants, and topological quantum computing. A solutions manual is available for qualifying instructors.

FUNDAMENTALS: Quantum Physics. Mathematical Preliminaries. Homology Groups. Homotopy Groups. Knots, Links and Braids. de Rham Cohomology Groups. Riemannian Geometry. Complex Manifolds. Fiber Bundles. Connections on Fibre Bundles. Characteristic Classes. Index Theorems. APPLICATIONS: Anomalies in Gauge Field Theories. Bosonic String Theory. Brane-World Cosmology. Topological Aspects of Quantum Hall Effects and Topological Insulators. Topological Aspects of Quantum Computing. Seiberg·Witten Invariants and Topology of 4-Manifolds. Shape of the Universe. Poincare Conjecture and Ricci Flow.

Erscheint lt. Verlag	30.7.2025
Zusatzinfo	300 Illustrations, black and white
Verlagsort	Bosa Roca
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
ISBN-10	1-4398-4071-7 / 1439840717
ISBN-13	978-1-4398-4071-9 / 9781439840719
Zustand	Neuware