Download or read book The History of Combinatorial Group Theory written by B. Chandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.

Download or read book Combinatorial Group Theory written by Wilhelm Magnus and published by Courier Corporation. This book was released on 2004-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.

Download or read book A Course on Group Theory written by John S. Rose and published by Courier Corporation. This book was released on 2013-05-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.

Download or read book Mathematical Reviews written by and published by . This book was released on 1991 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Modular Representations of Finite Groups written by and published by Academic Press. This book was released on 1977-03-14 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modular Representations of Finite Groups

Download or read book Use of Mathematical Literature written by A.R. Dorling and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use of Mathematical Literature discusses the bibliographic concerns of mathematical literature. The book is comprised of 14 chapters that cover characteristics of mathematical literature and provide reviews of some of the major literature in various mathematical fields. The text first discusses the role of the literature in mathematics, and then proceeds to tackling major organizations, journals, and reference materials. Next, the book provides critical accounts of the major literature in various mathematical fields, such as combinatorics, topology, and mathematical programming. The book will be of great use to students, practitioners, and researchers of mathematics. Other profession handling math literature, such as teachers, librarians, and translators will also find this book invaluable.

Download or read book Catalogue Books and Journals in Advanced Mathematics written by American Mathematical Society and published by . This book was released on 1984 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Algebraic Theory of Semigroups Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reviews on Infinite Groups written by Gilbert Baumslag and published by . This book was released on 1974 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topics in Algebra written by M.F. Newman and published by Springer. This book was released on 2007-01-05 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Systems of Equations Over Free Partially Commutative Groups written by Montserrat Casals-Ruiz and published by American Mathematical Soc.. This book was released on 2011 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 212, number 999 (end of volume)."

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 Groups of Prime Power Order Volume 5 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-01-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Download or read book Introduction to Homological Algebra 85 written by Joseph J. Rotman and published by Academic Press. This book was released on 1979-09-07 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author's attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and ?; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics.

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1990 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Is Science Progressive written by I. Niiniluoto and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together several essays which have been written between the years 197 5 and 1983. During that period I have been occupied with the attempt to find a satisfactory explicate for the notion of tnithlike ness or verisimilitude. The technical results of this search have partly appeared elsewhere, and I am also working on a systematic presentation of them in a companion volume to this book: Truthlikeness (forthcoming hopefully in 1985). The essays collected in this book are less formal and more philos ophical: they all explore various aspects of the idea that progress in science is associated with an increase in the truthlikeness of its results. Even though they do not exhaust the problem area of scientific change, together they constitute a step in the direction which I find most promising in the defence of critical scientific realism. * Chapter 1 appeared originally in Finnish as the opening article of a new journal Tiede 2000 (no. 1 I 1980) - a Finnish counterpart to journals such as Science and Scientific American. This explains its programmatic character. It tries to give a compact answer to the question 'What is science?', and serves therefore as an introduction to the problem area of the later chapters. Chapter 2 is a revised translation of my inaugural lecture for the chair of Theoretical Philosophy in the University of Helsinki on April 8, 1981. It appeared in Finnish inParnasso 31 (1981), pp.

Download or read book Proceedings of Groups St Andrews 1985 written by E. F. Robertson and published by Cambridge University Press. This book was released on 1986 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A current picture of progress and research in group theory is provided by five leading group theorists Bachmuth, Baumslag, Neumann, Roseblade and Tits.