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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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The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry
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Mario Livio
From the author of the bestseller The Golden Ratio comes the story of the 4,000-year-long mathematical quest that uncovered the laws of symmetry in nature and the arts.
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Groups: Process and Practice
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Gerald Corey
Learn to blend theory with practice in group work with GROUPS: PROCESS AND PRACTICE, the respected book that so many helpers (and helpers in training) rely upon every day. Focusing on the awhat isa and ahow toaa of group counseling, the authors use up-to-date examples, guidelines, insights, and an enhanced diversity perspective to show you how ...
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A First Course in Abstract Algebra
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Joseph J Rotman
For one-semester or two-semester undergraduate courses in Abstract Algebra.This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are ...
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Symmetry: A Journey Into the Patterns of Nature
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Marcus Du Sautoy
One of the world's leading mathematicians offers an illuminating and engaging look at the newest, most cutting-edge adventure in mathematics and beyond--the search for symmetry. Illustrated.
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Theory of Groups
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Hans J Zassenhaus
Well-written graduate-level text acquaints reader with group-theoretic methods and demonstrates their usefulness in mathematics. Axioms, the calculus of complexes, homomorphic mapping, p-group theory, more. Many proofs shorter and more transparent than older ones.
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Elements of Mathematics: Algebra I Chapters 1-3
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Nicolas Bourbaki
This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Algebre'. It gives a thorough exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter ...
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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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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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Groups and symmetry
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M. A. Armstrong
Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the ...
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Reflection Groups & Invariant Theory
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Richard Kane
Reflection Groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of pseudo-reflection groups. The third part of the book ...
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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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Abelian Varieties
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David Mumford
Now back in print, the revised edition of this popular study gives a systematic account of the basic results about abelian varieties. Mumford describes the analytic methods and results applicable when the ground field k is the complex field C and discusses the scheme-theoretic methods and results used to deal with inseparable isogenies when the ...
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Primer for Point and Space Groups
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Richard L Liboff
Written in the spirit of Liboff's acclaimed text on quantum mechanics, "Primer for Point and Space Groups" is an ideal introductory text for undergraduates in physics, engineering, materials science, chemistry. With its shrewd selection and arrangement of examples, the book traces at every turn the physical implications of abstract concepts. The ...
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Algorithmic Problems in Groups and Semigroups
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Jean-Camille Birget (Editor), Stuart Margolis (Editor), John Meakin (Editor)
An outgrowth of an international conference on algorithmic problems in groups and semigroups, held in May 1998 at the University of Nebraska-Lincoln, this volume presents results, techniques and ideas from the fields of algebra, logic and theoretical computer science.
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The theory of groups and quantum mechanics
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Hermann Weyl, H P Robertson (Translator)
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Symmetry and the Monster: One of the Greatest Quests of Mathematics
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by
Mark Ronan
Mathematics is being driven forward by the quest to solve a small number of major problems - generating excitement in the mathematical world and beyond. Four famous challenges have been Fermat's Last Theorem, the Riemann Hypothesis, Poincare's Conjecture, and, now, the quest for the 'Monster' of Symmetry. It is this latter that forms the topic of ...
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The Classical Groups: Their Invariants and Representations
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by
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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Groups and Representations
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J. L. Alperin
The aim of this text is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book should enable graduate students from every mathematical field, as well as ...
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Group Theory in Quantum Mechanics
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Volker Heine
Introduces research students in physics and chemistry to the three main uses of group theory in quantum mechanics. Requires a previous course in quantum theory, but the matrix algebra is included as an appendix. A series of examples of varying levels of difficulty follows each chapter. 1960 edition.
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Geometries and Groups
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by
V V Nikulin, I R Rigor Rost Shafarevich (Photographer)
This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each ...
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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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Braid Groups
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Christian Kassel, Vladimir Turaev, Olivier Dodane
Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such ...
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Finite groups
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Daniel Gorenstein
This text examines finite groups.
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Group Theory: Application to the Physics of Condensed Matter
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Mildred S Dresselhaus, Gene Dresselhaus, Ado Jorio
Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra. This concise and class-tested book has been pedagogically tailored over 30 years MIT and 2 years at ...
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