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Group theory

  • Abelian Groupsby L. Fuchs; J. P. Kahane; A. P. Robertson; S. Ulam

    Elsevier Science 2014; US$ 72.95

    Abelian Groups deals with the theory of abelian or commutative groups, with special emphasis on results concerning structure problems. More than 500 exercises of varying degrees of difficulty, with and without hints, are included. Some of the exercises illuminate the theorems cited in the text by providing alternative developments, proofs or counterexamples... more...

  • Abel’s Theorem in Problems and Solutionsby Francesca Aicardi; V.B. Alekseev

    Springer Netherlands 2007; US$ 105.97

    Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas... more...

  • Affine Hecke Algebras and Orthogonal Polynomialsby I. G. Macdonald

    Cambridge University Press 2003; US$ 116.00

    First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics. more...

  • Analysis and Correctness of Algebraic Graph and Model Transformationsby Ulrike Golas

    Vieweg+Teubner Verlag 2011; US$ 100.08

    Ulrike Golas extends a mathematical theory of algebraic graph and model transformations for more sophisticated applications like the specification of syntax, semantics, and model transformations of complex models. Based on M-adhesive transformation systems, model transformations are successfully analyzed regarding syntactical correctness, completeness,... more...

  • Applications of Finite Groupsby J. S. Lomont

    Elsevier Science 2014; US$ 72.95

    Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation... more...

  • The Arithmetic of Fundamental Groupsby Jakob Stix

    Springer Berlin Heidelberg 2012; US$ 153.07

    In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its analogies have found numerous applications in mathematics that are still being investigated today,... more...

  • Axioms for Lattices and Boolean Algebrasby R. Padmanabhan; S. Rudeanu

    World Scientific Publishing Company 2008; US$ 80.00 US$ 72.80

    The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of “join and meet”... more...

  • Basic Posetsby Joseph Neggers; Hee Sik Kim

    World Scientific Publishing Company 1998; US$ 68.00 US$ 61.88

    This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hasse diagram to build graphical intuition for the structure of finite posets. The proofs of a small number of theorems is included in the appendix.... more...

  • Boolean Representations of Simplicial Complexes and Matroidsby John Rhodes; Pedro V. Silva

    Springer International Publishing 2015; US$ 88.31

    This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric... more...

  • Buildingsby Peter Abramenko; Kenneth S. Brown

    Springer New York 2008; US$ 49.72

    Covering all three approaches to Jacques Tits's beautiful theory of buildings, this accessible volume is suitable as a textbook introduction to the subject as well as a self-study text for researchers. It contains numerous exercises. more...