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Author : Alfred North Whitehead
Publisher : Unknown
Page : 628 pages
File Size : 42,6 Mb
Release : 1898
Category : Algebra
ISBN : UOM:39015017395149
Author : Alfred North Whitehead
Publisher : Unknown
Page : 612 pages
File Size : 50,6 Mb
Release : 2019-10-03
Category : Electronic
ISBN : 1697399436
Alfred North Whitehead (1861-1947) was equally celebrated as a mathematician, a philosopher and a physicist. He collaborated with his former student Bertrand Russell on the first edition of Principia Mathematica (published in three volumes between 1910 and 1913), and after several years teaching and writing on physics and the philosophy of science at University College London and Imperial College, was invited to Harvard to teach philosophy and the theory of education. A Treatise on Universal Algebra was published in 1898, and was intended to be the first of two volumes, though the second (which was to cover quaternions, matrices and the general theory of linear algebras) was never published. This book discusses the general principles of the subject and covers the topics of the algebra of symbolic logic and of Grassmann's calculus of extension.
Author : Alfred North Whitehead
Publisher : Cambridge University Press
Page : 620 pages
File Size : 49,9 Mb
Release : 2009-07-20
Category : Mathematics
ISBN : 1108001688
Alfred North Whitehead (1861-1947) was equally celebrated as a mathematician, a philosopher and a physicist. He collaborated with his former student Bertrand Russell on the first edition of Principia Mathematica (published in three volumes between 1910 and 1913), and after several years teaching and writing on physics and the philosophy of science at University College London and Imperial College, was invited to Harvard to teach philosophy and the theory of education. A Treatise on Universal Algebra was published in 1898, and was intended to be the first of two volumes, though the second (which was to cover quaternions, matrices and the general theory of linear algebras) was never published. This book discusses the general principles of the subject and covers the topics of the algebra of symbolic logic and of Grassmann's calculus of extension.
Author : Alfred North Whitehead
Publisher : Unknown
Page : 586 pages
File Size : 41,5 Mb
Release : 2012
Category : Algebra, Universal
ISBN : OCLC:904450320
Author : ALFRED NORTH. WHITEHEAD
Publisher : Unknown
Page : 0 pages
File Size : 51,6 Mb
Release : 1898
Category : Algebra, Universal
ISBN : LCCN:60009761
Author : Alfred North Whitehead
Publisher : Arkose Press
Page : 628 pages
File Size : 40,6 Mb
Release : 2015-10-25
Category : Electronic
ISBN : 1345346131
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Alfred North Whitehead
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 1991
Category : Algebra, Universal
ISBN : OCLC:1302247908
Author : Alfred North Whitehead
Publisher : Nabu Press
Page : 618 pages
File Size : 52,7 Mb
Release : 2014-02
Category : Electronic
ISBN : 1295578700
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author : P.M. Cohn
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400983991
The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d'Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensive comments. particularly on Chapter VII and the supplementary chapters. I have also con sulted reviews of the first edition, as well as the Italian and Russian translations.
Author : George Grätzer
Publisher : Springer Science & Business Media
Page : 601 pages
File Size : 41,7 Mb
Release : 2008-12-15
Category : Mathematics
ISBN : 9780387774879
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Author : Alfred North Whitehead
Publisher : Unknown
Page : 586 pages
File Size : 40,7 Mb
Release : 1897
Category : Algebra, Universal
ISBN : OCLC:668303212
Author : B. Csákány,J. Schmidt
Publisher : Elsevier
Page : 609 pages
File Size : 53,7 Mb
Release : 2014-05-15
Category : Mathematics
ISBN : 9781483103020
Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.
Author : Clifford Bergman
Publisher : CRC Press
Page : 323 pages
File Size : 55,5 Mb
Release : 2011-09-20
Category : Computers
ISBN : 9781439851302
Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author's two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts o
Author : Stanley Burris,H. P. Sankappanavar
Publisher : Springer
Page : 304 pages
File Size : 43,9 Mb
Release : 1981-11-16
Category : Mathematics
ISBN : UOM:39015015614426
Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.
Author : George A. Gratzer
Publisher : Princeton, N.J. : Van Nostrand
Page : 394 pages
File Size : 53,5 Mb
Release : 1968
Category : Algebra, Abstract
ISBN : UCAL:B4407349
