concrete abstract algebra from numbers to grobner bases

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Concrete Abstract Algebra

Author : Niels Lauritzen
ISBN : 0521534100
Genre : Mathematics
File Size : 59. 88 MB
Format : PDF
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This 2003 book presents abstract algebra based on concrete examples and applications. All the traditional material with exciting directions.

Concrete Abstract Algebra

Author : Niels Lauritzen
ISBN : 9781139936613
Genre : Mathematics
File Size : 27. 4 MB
Format : PDF, ePub, Docs
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Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. 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. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. 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. Solutions to the exercises are available to lecturers from [email protected]

Concrete Abstract Algebra

Author : Niels Lauritzen
ISBN : 0521826799
Genre : Mathematics
File Size : 53. 10 MB
Format : PDF, Kindle
Download : 125
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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. A special feature is that Gr"obner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications, and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. 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.

E Study Guide For Concrete Abstract Algebra From Numbers To Grobner Bases By Niels Lauritzen Isbn 9780521826792

Author : Cram101 Textbook Reviews
ISBN : 9781478401056
Genre : Education
File Size : 60. 48 MB
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Never Highlight a Book Again! Just the FACTS101 study guides give the student the textbook outlines, highlights, practice quizzes and optional access to the full practice tests for their textbook.

An Introduction To Gr Bner Bases

Author : Ralf Fröberg
ISBN : 0471974420
Genre : Mathematics
File Size : 73. 50 MB
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As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Gröbner Bases is one topic which has recently become a very popular and important area of modern algebra. This book provides a concrete introduction to commutative algebra through Gröbner Bases. The inclusion of exercises, lists of further reading and related literature make this a practical approach to introducing Gröbner Bases. The author presents new concepts and results of recent research in the area allowing students and researchers in technology, computer science and mathematics to gain a basic understanding of the technique. A first course in algebra is the only prior knowledge required for this introduction. Chapter titles include: ∗ Monomial ldeas ∗ Gröbner Bases ∗ Algebraic Sets ∗ Solving Systems of Polynomial Equations ∗ Applications of Gröbner Bases ∗ Homogeneous Algebra ∗ Hilbert Series ∗ Variations of Gröbner Bases ∗ Improvements to Buchberger′s Algorithms ∗ Software

Using Algebraic Geometry

Author : David A Cox
ISBN : 9781475769111
Genre : Mathematics
File Size : 50. 6 MB
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An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.

A Singular Introduction To Commutative Algebra

Author : Gert-Martin Greuel
ISBN : 9783540735427
Genre : Mathematics
File Size : 69. 62 MB
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This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book’s most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.

Introduction To Algebraic Geometry

Author : Brendan Hassett
ISBN : 9781139464598
Genre : Mathematics
File Size : 63. 46 MB
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Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Gröbner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.

Concrete Abstract Algebra From Numbers To Grobner Bases

Author : CTI Reviews
ISBN : 9781490289403
Genre : Education
File Size : 60. 2 MB
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Facts101 is your complete guide to Concrete Abstract Algebra, From Numbers to Grobner Bases. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Elementary Linear Algebra

Author : Ron Larson
ISBN : 9781305887824
Genre : Mathematics
File Size : 61. 95 MB
Format : PDF
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ELEMENTARY LINEAR ALGEBRA’s clear, careful, and concise presentation of material helps you fully understand how mathematics works. The author balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. To engage you in the material, a new design highlights the relevance of the mathematics and makes the book easier to read. Data and applications reflect current statistics and examples, demonstrating the link between theory and practice. The companion website LarsonLinearAlgebra.com offers free access to multiple study tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

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