Clifford Bergman

Universal Algebra (eBook, ePUB)

Fundamentals and Selected Topics

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 320
• Erscheinungstermin: 20. September 2011
• Englisch
• ISBN-13: 9781000750584
• Artikelnr.: 57620015

Autorenporträt

Clifford Bergman is the Janson Professor of Mathematics at Iowa State University, where he has taught since 1982. He teaches both undergraduate and graduate courses in algebra and cryptography. Dr. Bergman's research centers on classical questions in universal algebra, computational complexity, cryptology, and steganography.

Inhaltsangabe

FUNDAMENTALS OF UNIVERSAL ALGEBRA: Algebras. Lattices. The Nuts and Bolts
of Universal Algebra. Clones, Terms, and Equational Classes. SELECTED
TOPICS: Congruence Distributive Varieties. Arithmetical Varieties. Maltsev
Varieties. Finite Algebras and Locally Finite Varieties. Bibliography.
Index.

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FUNDAMENTALS OF UNIVERSAL ALGEBRA: Algebras. Lattices. The Nuts and Bolts of Universal Algebra. Clones, Terms, and Equational Classes. SELECTED TOPICS: Congruence Distributive Varieties. Arithmetical Varieties. Maltsev Varieties. Finite Algebras and Locally Finite Varieties. Bibliography. Index.

Rezensionen

... as far as I am concerned, the book under review, by Clifford Bergman, is most welcome: we need more of this sort of thing, both for potential universal algebraists and for people like me: fellow travelers to some degree, or mathematicians who both use and thoroughly adore algebra and its structural qualities, and find themselves growing more appreciative of this architectural elegance as they evolve in their work and studies. ... it is clearly written and pleasant to read ... the author provides motivation as well as examples and exercises galore. At first glance it looks to me like the exercises are well-structured and should do the job of bringing the student or reader along at a decent pace from ignorance to both an appreciation for the subject and some facility with it. It's definitely an area worth pursuing for a graduate student with the right disposition.
-Michael Berg, MAA Reviews, December 2011

... excellently written and is highly recommended to all who are interested in universal algebra.
-Mathematical Reviews