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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AwangeErik W. They are fully integrated as a subject that can be successfully taught in an undergraduate context.

See all 3 reviews. Cambridge University Press Amazon. Amazon Rapids Fun stories for kids on the go. I highly recommend this book as a text for teaching abstract algebra. Shopbop Designer Fashion Brands. Grafarend Limited preview – They are lajritzen integrated as a subject that can be successfully taught in an undergraduate context.

Introduction to Lattices and Order.

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Niels Lauritzen

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An Introduction to Manifolds: Amazon Inspire Digital Educational Resources. Semigroups, Algebras and Operator Theory. 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. Some sections are laid out very nicely and are easy to understand, while others are ridiculously difficult to follow Sylow theorems, initial definition of concrte polynomial ring, law of quadratic reciprocity, and S-polynomials for Grobner bases.


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A little thin on some topics. 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 definitions and theorems should be laid out as precisely as possible.

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Concrete Abstract Algebra – Research – Aarhus University

Review “Lauritzen does a great job of motivating the concepts covered. This book is built on several years of experienced teaching introductory abstract algebra at Aarhus, where the emphasis on concrete oauritzen inspiring examples has improved student performance significantly.

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English Choose a language for shopping. 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.

Concrete Abstract Algebra: From Numbers to Gröbner Bases – Niels Lauritzen – Google Books

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.

Learn more about Amazon Giveaway. Based on this part, the work seems a veritable little gem and lives up to its aptly chosen title, striking a rare balance between theory and application. Overall, it’s an alright book. Read more Read less. Top Reviews Most recent Top Reviews. We’ll publish them on our site once we’ve reviewed them. We appreciate your feedback.