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  • Quandles and Topological Pairs

    Symmetry, Knots, and Cohomology

    Series series Mathematics and Statistics (R0)
    This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles.More precisely, this work emphasizes the fresh perspective ... Leer más

    $76.99 USD

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  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    Series series Mathematics and Statistics (R0)
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Leer más

    $116.09 USD

  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    de Stefan Witzel ...
    Series series Mathematics and Statistics (R0)
    Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Leer más

    $44.99 USD

  • Galois Theory, Coverings, and Riemann Surfaces

    Series series Mathematics and Statistics (R0)
    The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric ... Leer más

    $49.49 USD

  • Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

    Series series Mathematics and Statistics (R0)
    Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, ... Leer más

    $49.99 USD

  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field

    Series series Mathematics and Statistics (R0)
    At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... Leer más

    $31.99 USD

  • Coherent States, Wavelets, and Their Generalizations

    Series series Physics and Astronomy (R0)
    This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related ... Leer más

    $143.09 USD

  • Abstract Algebra: Introduction To Groups, Rings And Fields With Applications (Second Edition)

    This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata.This book is appropriate for second to fourth year ... Leer más

    $48.99 USD

  • Properties of Closed 3-Braids and Braid Representations of Links

    Series series Mathematics and Statistics (R0)
    This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu’s normal 3-braid form and the Hecke algebra representation theory of link polynomials developed by Jones. Topological link types are identified within closures of 3-braids which have a given Alexander or Jones polynomial. Further ... Leer más

    $62.99 USD

  • Topology and Geometric Group Theory

    Ohio State University, Columbus, USA, 2010–2011

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the ... Leer más

    $89.09 USD

  • The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups

    Series series Mathematics and Statistics (R0)
    This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks an important step in the computation of the K-theory of their group rings. The classification itself is somewhat intricate, due to the rich structure of the finite ... Leer más

    $44.99 USD

  • Arbeitstagung Bonn 2013

    In Memory of Friedrich Hirzebruch

    Series series Mathematics and Statistics (R0)
    This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that ... Leer más

    $107.09 USD