Download or read book Combinatorial Group Theory written by Daniel E. Cohen and published by Cambridge University Press. This book was released on 1989-08-17 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author aims to show the value of using topological methods in combinatorial group theory.
Download or read book Combinatorial Group Theory written by Roger C. Lyndon and published by Springer. This book was released on 2015-03-12 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews
Download or read book Topics in the Theory of Group Presentations written by D. L. Johnson and published by Cambridge University Press. This book was released on 1980-07-31 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.
Download or read book Essays in Group Theory written by S.M. Gersten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov`s paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers.
Download or read book Dynamics Geometry Number Theory written by David Fisher and published by University of Chicago Press. This book was released on 2022-02-07 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margulis’s work touches upon. This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics; his ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. Dynamics, Geometry, Number Theory introduces these areas, their development, their use in current research, and the connections between them. Divided into four broad sections—“Arithmeticity, Superrigidity, Normal Subgroups”; “Discrete Subgroups”; “Expanders, Representations, Spectral Theory”; and “Homogeneous Dynamics”—the chapters have all been written by the foremost experts on each topic with a view to making them accessible both to graduate students and to experts in other parts of mathematics. This was no simple feat: Margulis’s work stands out in part because of its depth, but also because it brings together ideas from different areas of mathematics. Few can be experts in all of these fields, and this diversity of ideas can make it challenging to enter Margulis’s area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.
Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-09-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
Download or read book Auditory Computation written by Harold L. Hawkins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The auditory system presents many features of a complex computational environment, as well as providing numerous opportunities for computational analysis. This volume represents an overview of computational approaches to understanding auditory system function. The chapters share the common perspective that complex information processing must be understood at multiple levels; that disciplines such as neurobiology, psychophysics, and computer science make vital contributions; and that the end product of computational analysis should be the development of formal models.
Download or read book Invariants And Pictures Low dimensional Topology And Combinatorial Group Theory written by Vassily Olegovich Manturov and published by World Scientific. This book was released on 2020-04-22 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of such invariants is picture-valued invariants, whose values are not algebraic objects, but geometrical constructions, like graphs or polyhedra.In 2015, V O Manturov defined a two-parametric family of groups Gnk and formulated the following principle: if dynamical systems describing a motion of n particles possess a nice codimension 1 property governed by exactly k particles then these dynamical systems possess topological invariants valued in Gnk.The book is devoted to various realisations and generalisations of this principle in the broad sense. The groups Gnk have many epimorphisms onto free products of cyclic groups; hence, invariants constructed from them are powerful enough and easy to compare. However, this construction does not work when we try to deal with points on a 2-surface, since there may be infinitely many geodesics passing through two points. That leads to the notion of another family of groups — Γnk, which give rise to braids on arbitrary manifolds yielding invariants of arbitrary manifolds.
Download or read book Geometry of Defining Relations in Groups written by A.Yu. Ol'shanskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Ht moi - ..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C.
Download or read book Combinatorial and Geometric Group Theory Edinburgh 1993 written by Andrew J. Duncan and published by Cambridge University Press. This book was released on 1995 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative collection of surveys and papers that will be indispensable to all research workers in the area.
Download or read book Combinatorial and Geometric Group Theory written by Sean Cleary and published by American Mathematical Soc.. This book was released on 2002 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
Download or read book Concepts In Solids Lectures On The Theory Of Solids written by Philip W Anderson and published by World Scientific. This book was released on 1997-11-26 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes constitute a course on a number of central concepts of solid state physics — classification of solids, band theory, the developments in one-electron band theory in the presence of perturbation, effective Hamiltonian theory, elementary excitations and the various types of collective elementary excitation (excitons, spin waves and phonons), the Fermi liquid, ferromagnetic spin waves, antiferromagnetic spin waves and the theory of broken symmetry.The book can be used in conjunction with a survey course in solid state physics, or as the basis of a first graduate-level course. It can be read by anyone who has had basic grounding in quantum mechanics.
Download or read book Tutorials on Motion Perception written by Alexander H. Wertheim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 24-29, 1980 the international "Symposium on the Study of Motion Perception; Recent Developments and Applications", sponsored by NATO and organized by the editors of this book, was held in Veldhoven, the Netherlands. The meeting was attended by about eighty scholars, including psychologists, neurologists, physicists and other scientists, from fourteen different countries. During the symposium some fifty research papers were presented and a series of tutorial review papers were read and discussed. The research presentations have been published in a special issue of the international journal of psychonomics "Acta Psychologica" (Vol. 48, 1981). The present book is a compilation of the tutorial papers. The tutorials were arranged around early versions of the chapters now appearing in this book. The long discussions at the Veldhoven tutorial sessions resulted in extensive revisions of the texts prior to this publication. Unfortunately this led to a delay in publication, but we feel that this was justified by a greater depth of understanding which, in our opinion, has significantly increased the quality of the book. As they now stand, the chapters cover most of the issues relevant to the study of motion perception. Also they clearly reflect the intensive exchange of knowledge that took place during the symposium. As such we think that this book can be used both as an advanced text for students and scientists alike and as a comprehensive reference source.
Download or read book The Pacific Reporter written by and published by . This book was released on 1924 with total page 1214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Extent of the Literal written by M. Rakova and published by Springer. This book was released on 2003-06-24 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Extent of the Literal develops a strikingly new approach to metaphor and polysemy in their relation to the conceptual structure. In a straightforward narrative style, the author argues for a reconsideration of standard assumptions concerning the notion of literal meaning and its relation to conceptual structure. She draws on neurophysiological and psychological experimental data in support of a view in which polysemy belongs to the level of words but not to the level of concepts, and thus challenges some seminal work on metaphor and polysemy within cognitive linguistics, lexical semantics and analytical philosophy.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2003 with total page 1422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History of Chinese Science and Technology written by Yongxiang Lu and published by Springer. This book was released on 2014-10-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Chinese Science and Technology (Volumes 1, 2 & 3) presents 44 individual lectures, beginning with Ancient Chinese Science and Technology in the Process of Human Civilizations and an Overview of Chinese Science and Technology, and continuing with in-depth discussions of several issues in the History of Science and the Needham Puzzle, interspersed with topics on Astronomy, Arithmetic, Agriculture and Medicine, The Four Great Inventions, and various technological areas closely related to clothing, food, shelter and transportation. This book is the most authoritative work on the history of Chinese Science and Technology. It is the Winner of the China Book Award, the Shanghai Book Award (1st prize), and the Classical China International Publishing Project (GAPP, General Administration of Press and Publication of China) and offers an essential resource for academic researchers and non-experts alike. It originated with a series of 44 lectures presented to top Chinese leaders, which received very positive feedback. Written by top Chinese scholars in their respective fields from the Institute for the History of Natural Sciences, Chinese Academy of Sciences and many other respected Chinese organizations, the book is intended for scientists, researchers and postgraduate students working in the history of science, philosophy of science and technology, and related disciplines. Yongxiang Lu is a professor, former president and member of the Chinese Academy of Sciences (CAS) and Chinese Academy of Engineering (CAE), and Vice Chairman of the National Congress of China.
