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Mathematics


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Mathematics
Group Theory


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Featured Titles in Mathematics - Group Theory
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Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys
by David Joyner
Publisher Comments
"A tour through the algebra of several 'permutation puzzles'... If you like puzzles, this is a somewhat fun book. If you like algebra, this is a fun book. If you like puzzles and algebra, this is a really fun book." -- MAA... (read more)

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Lattice Theory: First Concepts and Distributive Lattices
Lattice Theory: First Concepts and Distributive Lattices
by George Gratzer
Publisher Comments
Lattice theory offers an ideal framework for understanding basic mathematical concepts. This outstanding text is written in clear, direct language and enhanced with many research problems, exercises, diagrams, and concise proofs. The author discusses... (read more)

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Galois Theory 2ND Edition
Galois Theory 2ND Edition
by Emil Artin
Publisher Comments
Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups,... (read more)

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The Geometry of Complex Domains (Birkhduser Advanced Texts / Basler Lehrb]cher)
The Geometry of Complex Domains (Birkhduser Advanced Texts / Basler Lehrb]cher)
by Robert E. Greene
Publisher Comments
The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times... (read more)

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Group Theory and Its Application To Physical Problems (89 Edition)
Group Theory and Its Application To Physical Problems (89 Edition)
by Morton Hamermesh
Publisher Comments
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. "Well-organized, well-written and... (read more)

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Groups of Prime Power Order #3: Groups of Prime Power Order: Volume 3
Groups of Prime Power Order #3: Groups of Prime Power Order: Volume 3
by Yakov Berkovich
Book News Annotation
Berkovich (U. of Haifa) and Janko (North Dakota State U.) continue their exposition of elementary parts of p-group theory, assuming that readers have already made their way through the first two volumes. Among the problems they solve here are... (read more)

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An Introduction to the Theory of Groups (Dover Books on Mathematics)
An Introduction to the Theory of Groups (Dover Books on Mathematics)
by Paul Alexandroff
Publisher Comments
This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. A wealth of simple examples... (read more)

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Mumford-Tate Groups and Domains
Mumford-Tate Groups and Domains
by Mark Green
Publisher Comments
Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic... (read more)

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Matrix Groups
Matrix Groups
by Morton Landers Curtis
Publisher Comments
These notes were developed from a course taught at Rice University in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector... (read more)

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Completely Regular Semigroups (Canadian Mathematical Society Monographs & Advanced Texts)
Completely Regular Semigroups (Canadian Mathematical Society Monographs & Advanced Texts)
by Mario Petrich
Publisher Comments
Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and... (read more)

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Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces
by Jean-Philippe Anker
Publisher Comments
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature... (read more)

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Gorenstein Dimensions
Gorenstein Dimensions
by Lars Winther Christensen
Publisher Comments
This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the... (read more)

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London Mathematical Society Student Texts #73: Groups, Graphs, and Trees: An Introduction to the Geometry of Infinite Groups. John Meier
London Mathematical Society Student Texts #73: Groups, Graphs, and Trees: An Introduction to the Geometry of Infinite Groups. John Meier
by John Meier
Publisher Comments
This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and... (read more)

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Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra
Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra
by Manfred Knebusch
Publisher Comments
The present book is devoted to a study of relative Prfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real... (read more)

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Octonions, Jordan Algebras, and Exceptional Groups
Octonions, Jordan Algebras, and Exceptional Groups
by Tonny Albert Springer
Publisher Comments
The 1963... (read more)

List Price $129.00
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Rings, Modules, and the Total
Rings, Modules, and the Total
by Friedrich Kasch
Publisher Comments
In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of "partially invertible homomorphisms”, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion.... (read more)

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Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
by Stephanie F. Singer
Publisher Comments
Concentrates on how to make predictions about the numbers of each kind of basic state of a quantum system from only two ingredients: the symmetry and linear model of quantum mechanics Method has wide applications in crystallography, atomic structure... (read more)

Your price: $70.75
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Structure and Geometry of Lie Groups (Springer Monographs in Mathematics)
Structure and Geometry of Lie Groups (Springer Monographs in Mathematics)
by Joachim Hilgert
Publisher Comments
This self... (read more)

Your price: $129.00
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Computation with Finitely Presented Groups
Computation with Finitely Presented Groups
by Charles C. Sims
Publisher Comments
The book describes methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connection with fundamental algorithms from theoretical computer science, particularly the theory of automata... (read more)

Your price: $231.95
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Finite-Dimensional Division Algebras Over Fields
Finite-Dimensional Division Algebras Over Fields
by Nathan Jacobson
Publisher Comments
Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of... (read more)

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