Elementary Algebraic Geometry

Elementary Algebraic Geometry

Author: Klaus Hulek

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 225

ISBN-13: 0821829521

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This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.


Quantifier Elimination and Cylindrical Algebraic Decomposition

Quantifier Elimination and Cylindrical Algebraic Decomposition

Author: Bob F. Caviness

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 455

ISBN-13: 3709194598

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George Collins’ discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarski’s landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.


A Review of Algebra

A Review of Algebra

Author: Romeyn Henry Rivenburg

Publisher: Good Press

Published: 2019-11-21

Total Pages: 105

ISBN-13:

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This book was written for use in secondary schools by teachers wishing to give their final year students some revision on the basics of Algebra. The author's contention is that students forget much of what they have learned about algebra in their early secondary school years.


Algebra Sample Exams

Algebra Sample Exams

Author: John Redden

Publisher: OpenAlgebra.com

Published: 2013-06-01

Total Pages: 106

ISBN-13:

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Algebra sample exams offered by openAlgebra.com.