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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Niels Lauritzen

Share your thoughts with other customers. Concrete Abstract Algebra develops the theory of abstract algebra from luritzen to Gr”obner bases, while takin in all the usual material of a traditional introductory course.

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. Judging from the example, it seems that the author had insertion sort in mind while describing the algorithm, yet the work refers to bubblesort.

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. Customers who bought this item also bought. I have a love-hate relationship with this book.


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An Introduction to Manifolds: Amazon Second Chance Pass it on, trade it in, give it a second life. Elementary Theory of Numbers. Review “Lauritzen does a great job of motivating the concepts covered.

We appreciate your feedback. Continue shopping Checkout Continue shopping. They are fully integrated as a subject that can be successfully taught in an undergraduate context.

The review covers the group theory part, which I read as a quick refresher of basic material. See and discover other items: Grafarend Limited preview – Please review your cart.

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

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. Amazon Rapids Fun stories for kids on the go. You submitted the following rating and review. Amazon Drive Cloud storage from Amazon. There’s a problem loading this menu right now. Amazon Advertising Find, attract, and engage customers. 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.


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Representation Theory of Finite Groups.

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Explore the Home Gift Guide. Lauritzen’s approach to teaching abstract algebra is based on an extensive use of examples, applications, and exercises. A special feature is that Gr”obner bases do not appear as an isolated example. Cooncrete basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts.

A Book of Abstract Algebra: Amazon Music Stream millions of songs. In fact, a lot of important results are stated in an inconsistent manner like this, making it annoyingly difficult to go back and find them. Selected pages Title Page. Learn more about Amazon Prime.

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