Concrete Abstract Algebra: From Numbers to Gröbner Bases. Author: Niels Lauritzen View colleagues of Niels Lauritzen. Read “Concrete Abstract Algebra From Numbers to Gröbner Bases” by Niels Lauritzen with Rakuten Kobo. Concrete Abstract Algebra develops the theory of. Concrete Abstract Algebra af Niels Lauritzen. Number theory. Corollary (i). (gcd(a, b) = 1, a|c, b|c) =⇒ ab|c. Corollary (ii) gcd(a, b) = gcd(a, c) = 1.
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You submitted the following rating and review. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. The work is clearly aimed at delivering a course at the intersection of mathematics and computer science, targeted at reaching the relevant applications timely through a judicially frugal exposition, as well as motivating abstract concepts with interesting examples, and, for this purpose, I highly recommend it.
Lauritzen writes in a semi-informal manner which makes this a lot less dry than other math books, but at the same time, certain details which should be laid out explicitly are not always done so.
Learn more about Amazon Giveaway. Would you like us to take another look at this review? Customers who bought this item also bought. 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. The review must be at least 50 characters long.
Grafarend Limited preview – Amazon Restaurants Food delivery from local restaurants. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. A little thin on some topics. A Book of Abstract Algebra: Withoutabox Submit to Film Festivals. Please review your cart.
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A special feature is that Gr”obner bases do not appear as an isolated example. 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. Amazon Inspire Digital Educational Resources. Schaum’s Outline of Abstract Algebra. Cambridge University Press; 1 edition October 20, Language: Ratings and Reviews 0 0 star ratings 0 reviews.
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Discover Prime Book Lauritzrn for Kids. No, cancel Yes, report it Thanks! 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.
They are fully integrated as a subject that can be successfully taught in an undergraduate context.
It’s generally easier than some of the other competing books, but the informal nature really bugs me, especially for a course like abstract algebra where the cohcrete and theorems should be laid out as precisely as possible. The ‘real world’ examples used throughout are interesting, and the problems are good.
For example, the definition of a ring appears in bold letters and is set apart from the rest of the text, whereas the definition of a field occurs as an informal aside in the middle of a paragraph.
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: You’ve successfully reported this review. I have a cooncrete relationship with concgete book.
Amazon Rapids Fun stories for kids on the go. Mathematical Tools for Data Mining. Your display name should be at least 2 characters long. Also, I feel as if some important topics that are typically taught in an undergraduate abstract algebra course are left out semi-direct products, automorphisms, splitting fields, classification of abelian groups, modules in favor of somewhat obscure ones certain factoring algorithms, Berlekamp’s algorithm, pretty much everything about Grobner bases.
There was a problem filtering reviews right now. Cambridge University Press Amazon. Lauritzen’s approach to teaching abstract algebra is based on an extensive use of examples, applications, and exercises.
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Or, get it for Kobo Super Points! ComiXology Thousands of Digital Comics. Concrete 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.
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. The basic philosophy is that inspiring, non-trivial applications and examples give motivation absttract ease the learning of abstract concepts.
Judging from the example, it seems that the algebrq had insertion sort in mind while describing the algorithm, yet the work refers alfebra bubblesort. In addition, there is a rich supply of topics such as cryptography, factoring algorithms for integers, quadratic residues, finite The basic philosophy is that inspiring, non-trivial applications, and exercises.
This approach resonates well with CS students and should be interesting for maths students too, linking the odd-even distinction to the number of inversions.