عنوان

Gröbner bases :

شابک

0387979719

شابک

3540979719

شابک

9780387979717

شابک

9783540979715

کد کشور

bnb

شماره

b412197

عنوان اصلي

Gröbner bases :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a computational approach to commutative algebra /

نام نخستين پديدآور

Thomas Becker, Volker Weispfenning, in cooperation with Heinz Kredel

نام خاص و کميت اثر

xxii, 574 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

عنوان فروست

Graduate texts in mathematics ;

مشخصه جلد

141

متن يادداشت

Includes bibliographical references (pages 531-559) and index

متن يادداشت

5.1. Term Orders and Polynomial Reductions. 5.2. Grobner Bases -- Existence and Uniqueness. 5.3. Grobner Bases -- Construction. 5.4. Standard Representations. 5.5. Improved Grobner Basis Algorithms. 5.6. The Extended Grobner Basis Algorithm -- 6. First Applications of Grobner Bases. 6.1. Computation of Syzygies. 6.2. Basic Algorithms in Ideal Theory. 6.3. Dimension of Ideals. 6.4. Uniform Word Problems -- 7. Field Extensions and the Hilbert Nullstellensatz. 7.1. Field Extensions. 7.2. The Algebraic Closure of a Field. 7.3. Separable Polynomials and Perfect Fields. 7.4. The Hilbert Nullstellensatz. 7.5. Height and Depth of Prime Ideals. 7.6. Implicitization of Rational Parametrizations. 7.7. Invertibility of Polynomial Maps -- 8. Decomposition, Radical, and Zeroes of Ideals. 8.1. Preliminaries. 8.2. The Radical of a Zero-Dimensional Ideal. 8.3. The Number of Zeroes of an Ideal. 8.4. Primary Ideals. 8.5. Primary Decomposition in Noetherian Rings

متن يادداشت

8.6. Primary Decomposition of Zero-Dimensional Ideals. 8.7. Radical and Decomposition in Higher Dimensions. 8.8. Computing Real Zeroes of Polynomial Systems -- 9. Linear Algebra in Residue Class Rings. 9.1. Grobner Bases and Reduced Terms. 9.2. Computing in Finitely Generated Algebras. 9.3. Dimensions and the Hilbert Function -- 10. Variations on Grobner Bases. 10.1. Grobner Bases over PID's and Euclidean Domains. 10.2. Homogeneous Grobner Bases. 10.3. Homogenization. 10.4. Grobner Bases for Polynomial Modules. 10.5. Systems of Linear Equations. 10.6. Standard Bases and the Tangent Cone. 10.7. Symmetric Functions -- Appendix: Outlook on Advanced and Related Topics. Complexity of Grobner Basis Constructions. Term Orders and Universal Grobner Bases. Comprehensive Grobner Bases. Grobner Bases and Automatic Theorem Proving. Characteristic Sets and Wu-Ritt Reduction. Term Rewriting. Standard Bases in Power Series Rings. Non-Commutative Grobner Bases. Grobner Bases and Differential Algebra

بدون عنوان

0

بدون عنوان

0

عنوان

Gröbner bases.

موضوع مستند نشده

Algebra-- Data processing

موضوع مستند نشده

Gröbner bases

موضوع مستند نشده

Algèbre commutative

موضوع مستند نشده

base Gröbner

موضوع مستند نشده

calcul formel

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Becker, Thomas,1952-

مستند نام اشخاص تاييد نشده

Kredel, Heinz

مستند نام اشخاص تاييد نشده

Weispfenning, Volker,1944-

تاريخ عمليات

20160712055524.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y