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Concrete Abstract Algebra : From Numbers to Grobner Bases by Niels Lauritzen (2003, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521534100
ISBN-139780521534109
eBay Product ID (ePID)2479417
Product Key Features
Number of Pages256 Pages
Publication NameConcrete Abstract Algebra : from Numbers to Grobner Bases
LanguageEnglish
Publication Year2003
SubjectAlgebra / Abstract, Algebra / General
TypeTextbook
Subject AreaMathematics
AuthorNiels Lauritzen
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight14.8 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2003-051248
Dewey Edition21
Reviews"Lauritzen does a great job of motivating the concepts covered. The title of the book seems to be contradictory, but after reading the book, you will really have the feeling that Lauritzen achieved his goal: to concretize the abstract without losing rigor and depth. The text is very readable, and the well-chosen exercises help the reader understand the material. I highly recommend this book as a text for teaching abstract algebra. If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you." Computing Reviews, '… this textbook is absolutely self-contained, with the prerequisites kept to a minimum. The exposition is perfectly lucid, rigorous, detailed and user-friendly, which makes the book also suitable for private study. In summary, this is a highly interesting and original textbook on basic abstract algebra, with many topical extras and didactic novelties. It is perfectly suited for beginners in the field...' Werner Kleinert, Zentralblatt MATH, 'Unlike many books on abstract algebra, this one is written in a very lively style, with emphasis on illuminating examples and applications. This makes the book a valuable addition to undergraduate literature on this topical subject.' EMS Newsletter, 'A very useful book, which emphazises the relation between number theory and algebra offering also a very comprehensible introduction to a relatively new branch of algebra.' Monatshefte für Mathematik, '… this textbook is absolutely self-contained, with the prerequisites kept to a minimum. The exposition is perfectly lucid, rigorous, detailed and user-friendly, which makes the book also suitable for private study. In summary, this is a highly interesting and original textbook on basic abstract algebra, with many topical extras and didactic novelties. It is perfectly suited for beginners in the field...'Werner Kleinert, Zentralblatt MATH, 'I highly recommend this book ... If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you.' Computing Reviews, 'I highly recommend this book … If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you.' Computing Reviews, '... this textbook is absolutely self-contained, with the prerequisites kept to a minimum. The exposition is perfectly lucid, rigorous, detailed and user-friendly, which makes the book also suitable for private study. In summary, this is a highly interesting and original textbook on basic abstract algebra, with many topical extras and didactic novelties. It is perfectly suited for beginners in the field...' Werner Kleinert, Zentralblatt MATH, 'A very useful book, which emphazises the relation between number theory and algebra offering also a very comprehensible introduction to a relatively new branch of algebra.' Monatshefte fr Mathematik, ‘I highly recommend this book … If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you.’Computing Reviews
IllustratedYes
Dewey Decimal512/.02
SynopsisConcrete Abstract Algebra develops the theory of abstract algebra from numbers to Gr"obner bases, while takin in all the usual material of a traditional introductory course. In addition, there is a rich supply of topics such as cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials, and systems of non-linear equations. A special feature is that Gr"obner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications, and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experienced teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly., Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from solutions@cambridge.org., This book develops abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. Niels Lauritzen's approach to teaching is based on an extensive use of examples, applications and exercises. This approach has proved extremely successful in the author's experience at Aarhus. Solutions to the exercises are available to lecturers from solutions@cambridge.org.
LC Classification NumberQA162.L43 2003
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