Author: Chengming Bai
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Operads And Universal Algebra - Proceedings Of The International Conference
Author: Chengming Bai
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Lectures in Universal Algebra
Author: L. Szabó
Publisher: Elsevier
ISBN: 1483295400
Category : Mathematics
Languages : en
Pages : 657
Book Description
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
Publisher: Elsevier
ISBN: 1483295400
Category : Mathematics
Languages : en
Pages : 657
Book Description
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
Universal Algebra
Author: George Grätzer
Publisher: Springer Science & Business Media
ISBN: 0387774874
Category : Mathematics
Languages : en
Pages : 601
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0387774874
Category : Mathematics
Languages : en
Pages : 601
Book Description
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.
A Course in Universal Algebra
Author: S. Burris
Publisher: Springer
ISBN: 9781461381327
Category : Mathematics
Languages : en
Pages : 276
Book Description
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.
Publisher: Springer
ISBN: 9781461381327
Category : Mathematics
Languages : en
Pages : 276
Book Description
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.
Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science
Author: Janusz Czelakowski
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476
Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476
Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
More Math Into LaTeX
Author: George Grätzer
Publisher: Springer
ISBN: 3319237969
Category : Computers
Languages : en
Pages : 621
Book Description
For over two decades, this comprehensive manual has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. If the reader requires a streamlined approach to learning LaTeX for composing everyday documents, Grätzer’s © 2014 Practical LaTeX may also be a good choice. In this carefully revised fifth edition, the Short Course has been brought up to date and reflects a modern and practical approach to LaTeX usage. New chapters have been added on illustrations and how to use LaTeX on an iPad. Key features: An example-based, visual approach and a gentle introduction with the Short Course A detailed exposition of multiline math formulas with a Visual Guide A unified approach to TeX, LaTeX, and the AMS enhancements A quick introduction to creating presentations with formulas From earlier reviews: Grätzer’s book is a solution. —European Mathematical Society Newsletter There are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage. —Amazon.com, Best of 2000, Editor’s choice A novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time... An experienced TeX user, on the other hand, will find a systematic and detailed discussion of LaTeX fea tures. —Report on Mathematical Physics A very helpful and useful tool for all scientists and engineers. —Review of Astronomical Tools
Publisher: Springer
ISBN: 3319237969
Category : Computers
Languages : en
Pages : 621
Book Description
For over two decades, this comprehensive manual has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. If the reader requires a streamlined approach to learning LaTeX for composing everyday documents, Grätzer’s © 2014 Practical LaTeX may also be a good choice. In this carefully revised fifth edition, the Short Course has been brought up to date and reflects a modern and practical approach to LaTeX usage. New chapters have been added on illustrations and how to use LaTeX on an iPad. Key features: An example-based, visual approach and a gentle introduction with the Short Course A detailed exposition of multiline math formulas with a Visual Guide A unified approach to TeX, LaTeX, and the AMS enhancements A quick introduction to creating presentations with formulas From earlier reviews: Grätzer’s book is a solution. —European Mathematical Society Newsletter There are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage. —Amazon.com, Best of 2000, Editor’s choice A novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time... An experienced TeX user, on the other hand, will find a systematic and detailed discussion of LaTeX fea tures. —Report on Mathematical Physics A very helpful and useful tool for all scientists and engineers. —Review of Astronomical Tools
Math into LATEX
Author: George Grätzer
Publisher: Springer Science & Business Media
ISBN: 1475724462
Category : Science
Languages : en
Pages : 474
Book Description
It is indeed a lucky author who is given the opportunity to completely rewrite a book barely a year after its publication. Writing about software affords such op portunities (especially if the original edition sold out), since the author is shooting at a moving target. u\TEX and AMS-u\TEX improved dramatically with the release of the new stan dard IbTEX (called u\TEX2) in June of1994 and the revision of AMS-u\TEX (ver f sion 1.2) in February ofl995. The change in AMS-u\TEX is profound. u\TEX2 f made it possible for AMS-IbTEX to join the u\TEX world. One of the main points of the present book is to make this clear. This book introduces u\TEX as a tool for mathematical typesetting, and treats AMS-u\TEX as a set of enhancements to the standard u\TEX, to be used in conjunction with hundreds of other u\TEX 2f enhancements. I am not a TEX expert. Learning the mysteries of the system has given me great respect for those who crafted it: Donald Knuth, Leslie Lamport, Michael Spivak, and others did the original work; David Carlisle, Michael J. Downes, David M. Jones, Frank Mittelbach, Rainer Schopf, and many others built on the work of these pioneers to create the new u\TEX and AMS-LATEX.
Publisher: Springer Science & Business Media
ISBN: 1475724462
Category : Science
Languages : en
Pages : 474
Book Description
It is indeed a lucky author who is given the opportunity to completely rewrite a book barely a year after its publication. Writing about software affords such op portunities (especially if the original edition sold out), since the author is shooting at a moving target. u\TEX and AMS-u\TEX improved dramatically with the release of the new stan dard IbTEX (called u\TEX2) in June of1994 and the revision of AMS-u\TEX (ver f sion 1.2) in February ofl995. The change in AMS-u\TEX is profound. u\TEX2 f made it possible for AMS-IbTEX to join the u\TEX world. One of the main points of the present book is to make this clear. This book introduces u\TEX as a tool for mathematical typesetting, and treats AMS-u\TEX as a set of enhancements to the standard u\TEX, to be used in conjunction with hundreds of other u\TEX 2f enhancements. I am not a TEX expert. Learning the mysteries of the system has given me great respect for those who crafted it: Donald Knuth, Leslie Lamport, Michael Spivak, and others did the original work; David Carlisle, Michael J. Downes, David M. Jones, Frank Mittelbach, Rainer Schopf, and many others built on the work of these pioneers to create the new u\TEX and AMS-LATEX.
Universal Algebra and Coalgebra
Author: Klaus Denecke
Publisher: World Scientific
ISBN: 9812837450
Category : Mathematics
Languages : en
Pages : 291
Book Description
The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Publisher: World Scientific
ISBN: 9812837450
Category : Mathematics
Languages : en
Pages : 291
Book Description
The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Universal Algebra and Quasigroup Theory
Author: Anna B. Romanowska
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 258
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 258
Book Description
Universal Algebra
Author: George A. Gratzer
Publisher: Princeton, N.J. : Van Nostrand
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 394
Book Description
Publisher: Princeton, N.J. : Van Nostrand
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 394
Book Description