# Concrete Abstract Algebra: From Numbers to Gröbner Bases epub download

### by Niels Lauritzen

Nice book on applications of abstract algebra (cryptography, Groebner bases, et. . 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

Nice book on applications of abstract algebra (cryptography, Groebner bases, et. A little thin on some topics. 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. 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 does a great job of motivating the concepts covered. A special feature is that Gr"obner bases do not appear as an isolated example. 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. They are fully integrated as a subject that can be successfully taught in an undergraduate context.

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Concrete Abstract Algebra book . Start by marking Concrete Abstract Algebra: From Numbers to Gr�bner Bases as Want to Read: Want to Read savin. ant to Read. 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.

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Concrete Abstract Algebra develops the theory of abstract algebra from .

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. 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. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications, and exercises.

Download PDF book format. Personal Name: Lauritzen, Niels, 1964-. Publication, Distribution, et. Cambridge, UK ; New York. Choose file format of this book to download: pdf chm txt rtf doc. Download this format book. Concrete abstract algebra : from numbers to Grobner bases Niels Lauritzen. Book's title: Concrete abstract algebra : from numbers to Grobner bases Niels Lauritzen. Library of Congress Control Number: 2003051248.

The reduced Groebner basis is here applied to offer a closed form solution to the three-dimensional intersection problem vital in Photogrammetry and Computer . Concrete Abstract Algebra: From Numbers to Gr?bner Bases.

The reduced Groebner basis is here applied to offer a closed form solution to the three-dimensional intersection problem vital in Photogrammetry and Computer vision. From the observations of type horizontal directions Ti and vertical directions Bi, with i 1, 2, 3, we demonstrate that the three nonlinear system of equations can be decomposed to three quartic polynomials, i. e. polynomials of degree four, whose roots can be obtained with the help of solve command in Matlab software. Buchberger algorithm applied to planar lateration and intersection problems.

Syllabus: The book has five chapters: 1. Numbers, 2. Groups, 3. Rings, 4. Polynomials, 5. Grobner Bases. I intend to cover almost all of the material in all five chapters. Grobner bases will definitely be covered. However, I will exclude some of the number-theoretic topics (factoring algorithms, quadratic reciprocity). Grading: There will be two midterms and one final exam.

**ISBN13:** 978-0521534109

**ISBN:** 0521534100

**Author: ** Niels Lauritzen

**Category: ** Math and Science

**Subcategory: ** Mathematics

**Language: ** English

**Publisher: ** Cambridge University Press; 1 edition (October 20, 2003)

**Pages: ** 256 pages

**ePUB size:** 1438 kb

**FB2 size:** 1497 kb

**Rating: ** 4.9

**Votes: ** 939

**Other Formats: ** doc lit azw rtf