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Group theory --- Physics --- Representations of groups. --- Symmetry groups. --- Représentations de groupes --- Groupes symétriques --- Representations of groups --- Représentations de groupes --- Groupes symétriques --- Symmetry groups --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Group representation (Mathematics) --- Groups, Representation theory of

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Group theory --- Symmetry groups. --- Modules (Algebra) --- Operator theory. --- Groupes symétriques --- Modules (Algèbre) --- Théorie des opérateurs --- 51 <082.1> --- Mathematics--Series --- Groupes symétriques --- Modules (Algèbre) --- Théorie des opérateurs --- Operator theory --- Symmetry groups --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Functional analysis --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra)

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Symmetry groups --- Point defects --- Crystallography, Mathematical --- Groupes symétriques --- Cristallographie mathématique --- 512.54 --- #WSCH:AAS1 --- Groups, Symmetry --- Symmetric groups --- Quantum theory --- Representations of groups --- Defects, Point --- Crystals --- Dislocations in crystals --- Impurity centers --- Crystallography --- Crystallometry --- Mathematical crystallography --- Lattice theory --- Groups. Group theory --- Defects --- Mathematics --- Mathematical models --- Crystallography, Mathematical. --- Point defects. --- Symmetry groups. --- 512.54 Groups. Group theory --- Groupes symétriques --- Cristallographie mathématique

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This book is based on a one-semester course for advanced undergraduates specializing in physical chemistry. I am aware that the mathematical training of most science majors is more heavily weighted towards analysis – typ- ally calculus and differential equations – than towards algebra. But it remains my conviction that the basic ideas and applications of group theory are not only vital, but not dif?cult to learn, even though a formal mathematical setting with emphasis on rigor and completeness is not the place where most chemists would feel most comfortable in learning them. The presentation here is short, and limited to those aspects of symmetry and group theory that are directly useful in interpreting molecular structure and spectroscopy. Nevertheless I hope that the reader will begin to sense some of the beauty of the subject. Symmetry is at the heart of our understanding of the physical laws of nature. If a reader is happy with what appears in this book, I must count this a success. But if the book motivates a reader to move deeper into the subject, I shall be grati?ed.

Symmetry groups. --- Quantum chemistry. --- Chemistry, Physical organic. --- Physical Chemistry. --- Atomic, Molecular, Optical and Plasma Physics. --- Physical chemistry. --- Atoms. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Constitution --- Chemistry, Quantum --- Quantum theory --- Excited state chemistry --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Representations of groups

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This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric. Kristopher Tapp is currently a mathematics professor at Saint Joseph's University. He is the author of 17 research papers and one well-reviewed undergraduate textbook, Matrix Groups for Undergraduates. He has been awarded two National Science Foundation research grants and several teaching awards.

Symmetry (Mathematics). --- Symmetry groups. --- Symmetry (Mathematics) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Algebra --- Groups, Symmetry --- Symmetric groups --- Invariance (Mathematics) --- Mathematics. --- Geometry. --- Social sciences. --- Mathematics, general. --- Mathematics in the Humanities and Social Sciences. --- Mathematics in Art and Architecture. --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Group theory --- Automorphisms --- Euclid's Elements --- Math --- Science --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Arts. --- Architecture—Mathematics. --- Arts, Fine --- Arts, Occidental --- Arts, Primitive --- Arts, Western --- Fine arts --- Humanities