Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra
著者
書誌事項
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra
（Undergraduate texts in mathematics）
Springer-Verlag, c1992
- : us
- : gw
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注記
Bibliography: p. [499]-501
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780387978475
内容説明
Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.
- 巻冊次
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: gw ISBN 9783540978473
内容説明
This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960s. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years and new algorithms, coupled with the power of fast computers, have led to some interesting applications, for example in robotics and in geometric theorem proving. This book is an introduction to algebraic geometry and commutative algebra aimed primarily at undergraduates. Emphasizing applications and the computational and algorithmic aspects of the subject, the text has less abstract flavour than standard treatments. With few prerequisites, it should also a useful introduction to the subject for computer scientists.
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