Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.
Customers who bought this book also bought:
Our Editors also recommend:
Representation Theory of Finite Groups by Martin Burrow Concise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 1965 edition.
Character Theory of Finite Groups by I. Martin Isaacs Excellent text approaches characters via rings (or algebras). Focus on properties of characters, role in structure of group. Prerequisite: first-year graduate algebra. 1976 edition.
A Course on Group Theory by John S. Rose Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Problems in Group Theory by John D. Dixon Features 431 problems in group theory involving subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, and more. Full solutions. 1967 edition.
Applications of Group Theory in Quantum Mechanics by M. I. Petrashen, J. L. Trifonov This advanced text explores the theory of groups and their matrix representations. The main focus rests upon point and space groups, with applications to electronic and vibrational states. 1969 edition.
Group Theory: The Application to Quantum Mechanics by Paul H. E. Meijer, Edmond Bauer Upper-level undergraduate and graduate students receive an introduction to problem-solving by means of eigenfunction transformation properties with this text, which focuses on eigenvalue problems in which differential equations or boundaries are unaffected by certain rotations or translations. 1965 edition.
Introduction to Proof in Abstract Mathematics by Andrew Wohlgemuth This undergraduate text teaches students what constitutes an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. 1990 edition.
Sets, Sequences and Mappings: The Basic Concepts of Analysis by Kenneth Anderson, Dick Wick Hall This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
Theory of Continuous Groups by Charles Loewner These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 edition.
Convex Sets and Their Applications by Steven R. Lay Suitable for advanced undergraduates and graduate students, this text introduces characterizations of convex sets, polytopes, duality, optimization, and convex functions. Exercises include hints, solutions, and references. 1982 edition.
The Irreducible Tensor Method for Molecular Symmetry Groups by J. S. Griffith Suitable for advanced undergraduates and graduate students, this text covers V coefficients for symmetry groups, W coefficients, irreducible products, two-electron formulae for the octahedral group, X coefficients, more. 1962 edition.
Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Rotations, Quaternions, and Double Groups by Simon L. Altmann This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems.
Group Theory and Quantum Mechanics by Michael Tinkham Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.
Lie Groups for Pedestrians by Harry J. Lipkin This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.
Mathematics: Its Content, Methods and Meaning by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.
Concepts of Modern Mathematics by Ian Stewart In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Group Theory and Chemistry by David M. Bishop Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.
Group Theory and Its Application to Physical Problems by Morton Hamermesh One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.
Mathematics for the Nonmathematician by Morris Kline Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Mathematics and the Physical World by Morris Kline Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
The Theory of Groups and Quantum Mechanics by Hermann Weyl This landmark text applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, more.
Product Description:
Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.