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Groups: Process and Practice
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Marianne Schneider Corey
This text highlights the attributes that make good group leaders and shows how to design and lead specialized groups. The basic issues and key concepts of group process are outlined, and the way in which group leaders can apply these concepts in working with a variety of groups is illustrated. This edition summarizes the practical applications of ...
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Lie Groups, Lie Algebras, and Some of Their Applications
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Robert Gilmore
With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edtion. Includes 75 ...
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Numbers, Groups and Codes
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J F Humphreys, M Y Prest
This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for ...
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New Constructions in Cellular Automata
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David Griffeath, Cristopher Moore
This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata. CA are widely used tools for simulation in physics, ecology, mathematics, and other fields. But they are also digital "toy universes" worthy of study in their own right, with their own laws of ...
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Theory of sets.
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E. Kamke
Lucid introduction to theory of sets, surveying discoveries of Cantor, Russell, Weierstrass, Zermelo, Bernstein, Dedekind, etc.
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Problems in group theory
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John D Dixon
265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
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Group theory
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William R. Scott
Clear, well-organized coverage of most standard theorems: isomorphism theorems, transformations and subgroups, direct sums, abelian groups, etc. Over 500 exercises. Undergraduate-level.
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Galois Theory
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Joseph Rotman
This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of ...
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Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block
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Luis Puig, Lluis Puig
About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.But the main discovery of Brauer is perhaps the existence of families of infinitely many ...
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Lie groups for pedestrians
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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.
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Group Theory and Its Application to Physical Problems
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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.
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Symmetry: An Introduction to Group Theory and Its Applications
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Roy McWeeny
Well-organized volume develops ideas of group and representation theory in progressive fashion. Emphasis on finite groups describing symmetry of regular polyhedra and of repeating patterns, plus geometric illustrations.
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Galois theory; lectures delivered at the University of Notre Dame
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by
Emil Artin, Arthur N. Milgram
Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.
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Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
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Professor David Joyner
Group theory deals with symmetry, in the most abstract form possible. It is a core part of the undergraduate maths curriculum, and forms part of the training of theoretical physicists and chemical crystallographers. In this book, David Joyner uses mathematical toys (primarily the Rubik's Cube and its more modern cousins, the Megaminx, the Pyraminx ...
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Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists
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Robert Gilmore
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The ...
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A history of fishes
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J R Norman
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Linear Representations of Finite Groups
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Jean-Pierre Serre
This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples ...
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Handbook of Cubik Math
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David Singmaster, Alexander H. Frey
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Hyperbolic Manifolds and Discrete Groups Notes on Thurston's Hyperbolization
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Mikhail Kapovich, Michael Kapovich, Mikhail Kapocivh
Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout is on the "Big Monster," i.e., on Thurston's hyperbolization theorem, which has not only completely changed the ...
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The Theory of Groups
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by
Marshall Hall
Perhaps the first truly famous book devoted primarily to finite groups was Burnside's book. From the time of its second edition in 1911 until the appearance of Hall's book, there were few books of similar stature. Hall's book is still considered to be a classic source for fundamental results on the representation theory for finite groups, the ...
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Non-Abelian Harmonic Analysis: Applications of SL(2, R)
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Roger Howe
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Commutative Algebra: With a View Toward Algebraic Geometry
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J H Ewing, David Eisenbud, F W Gehring
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, ...
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Skew Linear Groups
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Shirvani, Wehrfritz
This book is concerned with subgroups of groups of the form GL(n,D) for some division ring D. In it the authors bring together many of the advances in the theory of skew linear groups. Some aspects of skew linear groups are similar to those for linear groups, however there are often significant differences either in the method of proof or the ...
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Automorphic Representation of Unitary Groups in Three Variables. (Am-123)
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Jonathan D Rogawski
The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly the theory of Jacquet-Langlands, working out, whenever possible, explicit consequences and connections with the classical theory. Another goal is to ...
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The classical groups, their invariants and representations
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Hermann Weyl
In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. This book also covers topics such as ...
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