Mathematical Methods for Physics: An Introduction to Group Theory, Topology and Geometry

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This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering. The material has been subject to more than twenty years of feedback from students, ensuring that explanations and examples are lucid and considered, and numerous worked examples and exercises reinforce key concepts and further strengthen readers' understanding. This text unites a wide variety of important topics that are often scattered across different books, and provides a solid platform for more specialized study or research.

CHEMICAL APPLICATIONS OF GROUP THEORY (3版)

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書名：Chemical Applications of Group Theory 3/e 作者：COTTON 出版社：John Wiley 出版日期：1990/00/00 ISBN：9781119115410 內容簡介 Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains many new exercises and illustrations. 目錄 PART I PRINCIPLES 1 Introduction. 2 Definitions and Theorems of Group Theory. 3 Molecular Symmetry and the Symmetry Groups. 4 Representations of Groups. 5 Group Theory and Quantum Mechanics. 6 Symmetry-Adapted Linear Combinations. PART II APPLICATIONS 7 Molecular Orbital Theory and Its Applications in Organic Chemistry. 8 Molecular Orbital Theory for Inorganic and Organometallic Compounds. 9 Ligand Field Theory. 10 Molecular Vibrations. 11 Crystallographic Symmetry. Appendices.