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Universal Algebra

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Universal Algebra Cover

 

Synopses & Reviews

Publisher Comments:

Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," 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 a fine work for students, instructors, and researchers in the field.  "This book will certainly be, in the years to come, the basic reference to the subject." --- The American Mathematical Monthly (First Edition) "In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially suitable for self-study, as the author frequently provides ample explanation not only of what he is proving, but also of how and why he is proving it. As a reference work for the specialist or a text for the student, the book is highly recommended." --- Mathematical Reviews (First Edition) "Since the first day of its appearance in 1968, this book has been the standard reference in universal algebra, and no book since has reached its quality." --- Journal of Symbolic Logic (Second Edition)

Synopsis:

Here is the second edition of Universal Algebra, which has become the most authoritative, consistently relied on text in the field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.

Synopsis:

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.

About the Author

George Grätzer is a Doctor of Science at the University of Manitoba. He authored three other books on LaTex: First Steps in LaTeX and Math into LateX, which is now in its third edition and has sold more than 6000 copies. Math into LaTeX was chosen by the Mathematics Editor of Amazon.com as one of the ten best books of 2000. He has also written many articles and a few books on the subject of lattices and universal algebra. In addition, Grätzer is the founder of the international mathematical journal, Algebra Universalis.

Table of Contents

Table of Notation.- Chapter 0. Basic Concepts.- Chapter 1. Subalgebras and Homomorphisms.- Chapter 2. Partial Algebras.- Chapter 3. Contructions of Algebras.- Chapter 4. Free Algebras.- Chapter 5. Independence.- Chapter 6. Elments of Model Theory.- Chapter 7. Elementary Properties of Algebraic Constructions.- Chapter 8. Free S-Structures.- Appendix 1. General Survey.- Appendix 2. The Problems.- Appendix 3. Congruence Varieties.- Appendix 4. Equational Logic.- Appendix 5. Primality: the Influence of Boolean Algebras in Universal Algebra.- Appendix 6. Equational Compactness.- Appendix 7. The Independence Proof.- Bibliography.- Index.

Product Details

ISBN:
9780387774862
Author:
Gratzer, George
Publisher:
Springer
Subject:
Algebra - General
Subject:
Algebra, Universal
Subject:
Mathematics - Algebra
Subject:
Free algebras
Subject:
Homomorphisms
Subject:
Partial algebras
Subject:
subalgebras
Subject:
Algebra
Subject:
Commutative Rings and Algebras
Subject:
Order, Lattices, Ordered Algebraic Structures
Copyright:
Edition Description:
2nd ed. 1979. 2nd printing
Publication Date:
20080729
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
602
Dimensions:
235 x 155 mm 1860 gr

Related Subjects

Health and Self-Help » Self-Help » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General

Universal Algebra New Trade Paper
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$99.25 In Stock
Product details 602 pages Springer - English 9780387774862 Reviews:
"Synopsis" by , Here is the second edition of Universal Algebra, which has become the most authoritative, consistently relied on text in the field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.
"Synopsis" by , 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.
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