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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The ‘real world’ examples used throughout are interesting, and the problems are good. Algebraic Theory of Locally Nilpotent Derivations. Some sections are laid out very nicely and are easy to understand, while others are ridiculously difficult to follow Sylow theorems, initial definition of a polynomial ring, law of quadratic reciprocity, and S-polynomials for Grobner bases.
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Representation Theory of Finite Groups. Account Options Sign in. Write a customer review. I have a love-hate relationship with this book. Lauritzen’s approach to teaching abstract algebra is based on an extensive use of xoncrete, applications, and exercises.
The basic philosophy is that inspiring, non-trivial applications, abstraft exercises. The text is very readable, and the well-chosen exercises help the reader understand the material.
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A special feature is that Gr”obner bases do not appear as an isolated example. For example, the definition of a ring appears in bold letters and is set apart lauritzdn the rest of the text, whereas the definition of a field occurs as an informal aside in the middle of a paragraph. Amazon Advertising Find, attract, and engage customers.
Concrete Abstract Algebra – Research – Aarhus University
Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. 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.
If you are a seller for this product, would you like to suggest updates through seller support? The review covers the group theory part, which I read as a quick refresher of basic material. See and discover other items: Zbstract 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.
Modern Stochastics and Applications. Explore the Home Gift Guide. Concrete Abstract Algebra develops the theory of abstract algebra algebrx numbers to Gr”obner bases, while takin in all the usual material of a traditional introductory course.
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Read more Read less. In addition, he constantly refers to previous results using their numbering from the text. See all 3 reviews.
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This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where abetract emphasis on concrete and inspiring examples has improved student performance significantly. You’ve successfully reported this review. The basic philosophy is that inspiring, non-trivial applications, and exercises. While every textbook does this to a certain extent, there are many times when an extra three words specifying which result he is referencing would save the reader from flipping back through the pages to find it.
How to write a great review Do Say what you liked best and least Describe the author’s style Algeebra the rating you gave Don’t Use rude and profane language Include any personal information Mention spoilers or the book’s price Recap the plot. Lauritzen’s approach to teaching abstract algebra is abstrxct on an extensive use of examples, applications, and exercises. Other editions – View all Concrete Abstract Algebra: