The Metamathematics of Algebraic Systems

The Metamathematics of Algebraic Systems PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954782
Category : Computers
Languages : en
Pages : 513

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Book Description
The Metamathematics of Algebraic Systems

The Metamathematics of Algebraic Systems

The Metamathematics of Algebraic Systems PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954782
Category : Computers
Languages : en
Pages : 513

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Book Description
The Metamathematics of Algebraic Systems

Metamath: A Computer Language for Mathematical Proofs

Metamath: A Computer Language for Mathematical Proofs PDF Author: Norman Megill
Publisher: Lulu.com
ISBN: 0359702236
Category : Computers
Languages : en
Pages : 250

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Book Description
Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.

The Mathematics of Metamathematics

The Mathematics of Metamathematics PDF Author: Helena Rasiowa
Publisher:
ISBN:
Category : Metamathematics
Languages : en
Pages : 550

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Twelve papers in algebra

Twelve papers in algebra PDF Author: B. M. Sain Lev I_A_kovlevich Le_fman
Publisher: American Mathematical Soc.
ISBN: 9780821895573
Category : Algebra
Languages : en
Pages : 150

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Book Description
Translations of articles on mathematics appearing in various Russian mathematical serials.

Identities of Algebras and their Representations

Identities of Algebras and their Representations PDF Author: I︠U︡riĭ Pitrimovich Razmyslov
Publisher: American Mathematical Soc.
ISBN: 9780821846087
Category : Mathematics
Languages : en
Pages : 468

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Book Description
During the past forty years, a new trend in the theory of associative algebras, Lie algebras, and their representations has formed under the influence of mathematical logic and universal algebra, namely, the theory of varieties and identities of associative algebras, Lie algebras, and their representations. The last twenty years have seen the creation of the method of 2-words and *a-functions, which allowed a number of problems in the theory of groups, rings, Lie algebras, and their representations to be solved in a unified way. The possibilities of this method are far from exhausted. This book sums up the applications of the method of 2-words and *a-functions in the theory of varieties and gives a systematic exposition of contemporary achievements in the theory of identities of algebras and their representations closely related to this method. The aim is to make these topics accessible to a wider group of mathematicians.

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev PDF Author: Leonid A. Bokut'
Publisher: American Mathematical Soc.
ISBN: 0821851381
Category : Algebra
Languages : en
Pages : 696

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Proceedings

Proceedings PDF Author: Leon Henkin
Publisher: American Mathematical Soc.
ISBN: 0821814257
Category : Mathematics
Languages : en
Pages : 522

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Book Description


Model Theory

Model Theory PDF Author: Wilfrid Hodges
Publisher: Cambridge University Press
ISBN: 9780521304429
Category : Mathematics
Languages : en
Pages : 810

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Book Description
Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

A Concise Introduction to Mathematical Logic

A Concise Introduction to Mathematical Logic PDF Author: Wolfgang Rautenberg
Publisher: Springer Science & Business Media
ISBN: 0387342419
Category : Mathematics
Languages : en
Pages : 273

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Book Description
While there are already several well known textbooks on mathematical logic this book is unique in treating the material in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel’s Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text.

Handbook of Logical Thought in India

Handbook of Logical Thought in India PDF Author: Sundar Sarukkai
Publisher: Springer Nature
ISBN: 8132225775
Category : Philosophy
Languages : en
Pages : 1339

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Book Description
This collection of articles is unique in the way it approaches established material on the various logical traditions in India. Instead of classifying these traditions within Schools as is the usual approach, the material here is classified into sections based on themes ranging from Fundamentals of ancient logical traditions to logic in contemporary mathematics and computer science. This collection offers not only an introduction to the key themes in different logical traditions such as Nyaya, Buddhist and Jaina, it also highlights certain unique characteristics of these traditions as well as contribute new material in the relationship of logic to aesthetics, linguistics, Kashmir Saivism as well as the forgotten Tamil contribution to logic.