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Author : Alfred North Whitehead
Publisher : Unknown
Page : 628 pages
File Size : 45,8 Mb
Release : 1898
Category : Algebra
ISBN : UOM:39015017395149
Author : Alfred North Whitehead
Publisher : Unknown
Page : 612 pages
File Size : 41,5 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 : Unknown
Page : 586 pages
File Size : 48,9 Mb
Release : 1898
Category : Algebra, Universal
ISBN : OCLC:64025560
Author : Alfred North Whitehead
Publisher : Unknown
Page : 586 pages
File Size : 51,7 Mb
Release : 2012
Category : Algebra, Universal
ISBN : OCLC:904450320
Author : Alfred North Whitehead
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 1991
Category : Algebra, Universal
ISBN : OCLC:1302247908
Author : Alfred North Whitehead
Publisher : Arkose Press
Page : 628 pages
File Size : 51,5 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 : Nabu Press
Page : 618 pages
File Size : 46,8 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 : ALFRED NORTH. WHITEHEAD
Publisher : Unknown
Page : 0 pages
File Size : 43,6 Mb
Release : 1898
Category : Algebra, Universal
ISBN : LCCN:60009761
Author : Alfred North Whitehead
Publisher : Unknown
Page : 586 pages
File Size : 52,7 Mb
Release : 1897
Category : Algebra, Universal
ISBN : OCLC:668303212
Author : P.M. Cohn
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 51,8 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 : 42,8 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 : B. Csákány,J. Schmidt
Publisher : Elsevier
Page : 609 pages
File Size : 44,5 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 : Alfred Whitehead
Publisher : CreateSpace
Page : 218 pages
File Size : 52,9 Mb
Release : 2014-12-11
Category : Electronic
ISBN : 1505486777
The study of mathematics is apt to commence in disappointment. The important applications of the science, the theoretical interest of its ideas, and the logical rigour of its methods, all generate the expectation of a speedy introduction to processes of interest. We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the e_orts of our mental weapons to grasp it | 'Tis here, 'tis there, 'tis gone" | and what we do see does not suggest the same excuse for illusiveness as sufficed for the ghost, that it is too noble for our gross methods. A show of violence," if ever excusable, may surely be offered" to the trivial results which occupy the pages of some elementary mathematical treatises.The object of the following Chapters is not to teach mathematics, but to enable students from the very beginning of their course to know what the science is about, and why it is necessarily the foundation of exact thought as applied to natural phenomena. All allusion in what follows to detailed deductions in any part of the science will be inserted merely for the purpose of example, and care will be taken to make the general argument comprehensible, even if here and there some technical process or symbol which the reader does not understand is cited for the purpose of illustration.The first acquaintance which most people have with mathematics is through arithmetic. That two and two make four is usually taken as the type of a simple mathematical proposition which everyone will have heard of. Arithmetic, therefore, will be a good subject to consider in order to discover, if possible, the most obvious characteristic of the science. Now, the first noticeable fact about arithmetic is that it applies to everything, to tastes and to sounds, to apples and to angels, to the ideas of the mind and to the bones of the body. The nature of the things is perfectly indifferent, of all things it is true that two and two make four. Thus we write down as the leading characteristic of mathematics that it deals with properties and ideas which are applicable to things just because they are things, and apart from any particular feelings, or emotions, or sensations, in any way connected with them. This is what is meant by calling mathematics an abstract science.
Author : R.S. Freese,O.C. Garcia
Publisher : Springer
Page : 314 pages
File Size : 47,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540409540
Author : Clifford Bergman
Publisher : CRC Press
Page : 324 pages
File Size : 47,7 Mb
Release : 2011-09-20
Category : Computers
ISBN : 9781439851296
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 of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, a clone of operations, terms, free algebras, Birkhoff’s theorem, and standard Maltsev conditions. The second part covers topics that demonstrate the power and breadth of the subject. The author discusses the consequences of Jónsson’s lemma, finitely and nonfinitely based algebras, definable principal congruences, and the work of Foster and Pixley on primal and quasiprimal algebras. He also includes a proof of Murskiĭ’s theorem on primal algebras and presents McKenzie’s characterization of directly representable varieties, which clearly shows the power of the universal algebraic toolbox. The last chapter covers the rudiments of tame congruence theory. Throughout the text, a series of examples illustrates concepts as they are introduced and helps students understand how universal algebra sheds light on topics they have already studied, such as Abelian groups and commutative rings. Suitable for newcomers to the field, the book also includes carefully selected exercises that reinforce the concepts and push students to a deeper understanding of the theorems and techniques.
