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Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David A. Cox, John Little, Donal O'Shea
| Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David A. Cox, John Little, Donal O'Shea |
| Autore | Cox David A |
| Edizione | [5th ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (665 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) |
LittleJohn
O'SheaDonal |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Geometry, Algebraic
Commutative algebra Commutative rings Logic, Symbolic and mathematical Computer software Algebraic Geometry Commutative Rings and Algebras Mathematical Logic and Foundations Mathematical Software |
| ISBN |
9783031918414
9783031918407 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Notation for Sets and Functions -- 1 Geometry, Algebra, and Algorithms -- 2 Groebner Bases -- 3 Elimination Theory -- 4 The Algebra-Geometry Dictionary -- 5 Polynomial and Rational Functions on a Variety -- 6 Robotics and Automatic Geometric Theorem Proving -- 7 Invariant Theory of Finite Groups -- 8 Projective Algebraic Geometry -- 9 The Dimension of a Variety -- 10 Additional Groebner Basis Algorithms -- Appendix A Some Concepts from Algebra -- Appendix B Pseudocode -- Appendix C Computer Algebra Systems -- Appendix D Independent Projects -- References -- Index. |
| Record Nr. | UNINA-9911022157503321 |
Cox David A
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David A. Cox, John Little, Donal O'Shea
| Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David A. Cox, John Little, Donal O'Shea |
| Autore | Cox David A |
| Edizione | [4th ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (XVI, 646 p. 95 illus., 10 illus. in color.) |
| Disciplina | 516.35 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Geometry, Algebraic
Commutative algebra Commutative rings Logic, Symbolic and mathematical Computer software Algebraic Geometry Commutative Rings and Algebras Mathematical Logic and Foundations Mathematical Software |
| ISBN | 3-319-16721-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Notation for Sets and Functions -- 1. Geometry, Algebra, and Algorithms -- 2. Groebner Bases -- 3. Elimination Theory -- 4.The Algebra-Geometry Dictionary -- 5. Polynomial and Rational Functions on a Variety -- 6. Robotics and Automatic Geometric Theorem Proving -- 7. Invariant Theory of Finite Groups -- 8. Projective Algebraic Geometry -- 9. The Dimension of a Variety -- 10. Additional Groebner Basis Algorithms -- Appendix A. Some Concepts from Algebra -- Appendix B. Pseudocode -- Appendix C. Computer Algebra Systems -- Appendix D. Independent Projects -- References -- Index. . |
| Record Nr. | UNINA-9910299766603321 |
|
Cox David A
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ideals, Varieties, and Algorithms [[electronic resource] ] : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA
| Ideals, Varieties, and Algorithms [[electronic resource] ] : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA |
| Autore | Cox David |
| Edizione | [2nd ed. 1997.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
| Descrizione fisica | 1 online resource (XIII, 538 p. 44 illus.) |
| Disciplina | 511.3 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Mathematical logic
Mathematical Logic and Foundations |
| ISBN | 1-4757-2693-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Geometry, Algebra, and Algorithms -- 2. Groebner Bases -- 3. Elimination Theory -- 4. The Algebra-Geometry Dictionary -- 5. Polynomial and Rational Functions on a Variety -- 6. Robotics and Automatic Geometric Theorem Proving -- 7. Invariant Theory of Finite Groups -- 8. Projective Algebraic Geometry -- 9. The Dimension of a Variety -- Appendix A. Some Concepts from Algebra -- §1 Fields and Rings -- §2. Groups -- §3. Determinants -- Appendix B. Pseudocode -- §1. Inputs, Outputs, Variables, and Constants -- §2. Assignment Statements -- §3. Looping Structures -- §4. Branching Structures -- Appendix C. Computer Algebra Systems -- §1. AXIOM -- §2. Maple -- §3. Mathematica -- §4. REDUCE -- §5. Other Systems -- Appendix D. Independent Projects -- §1. General Comments -- §2. Suggested Projects -- References. |
| Record Nr. | UNINA-9910480269303321 |
|
Cox David
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ideals, Varieties, and Algorithms [[electronic resource] ] : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA
| Ideals, Varieties, and Algorithms [[electronic resource] ] : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA |
| Autore | Cox David |
| Edizione | [2nd ed. 1997.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
| Descrizione fisica | 1 online resource (XIII, 538 p. 44 illus.) |
| Disciplina | 511.3 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Mathematical logic
Mathematical Logic and Foundations |
| ISBN | 1-4757-2693-7 |
| Classificazione | 14Qxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Geometry, Algebra, and Algorithms -- 2. Groebner Bases -- 3. Elimination Theory -- 4. The Algebra-Geometry Dictionary -- 5. Polynomial and Rational Functions on a Variety -- 6. Robotics and Automatic Geometric Theorem Proving -- 7. Invariant Theory of Finite Groups -- 8. Projective Algebraic Geometry -- 9. The Dimension of a Variety -- Appendix A. Some Concepts from Algebra -- §1 Fields and Rings -- §2. Groups -- §3. Determinants -- Appendix B. Pseudocode -- §1. Inputs, Outputs, Variables, and Constants -- §2. Assignment Statements -- §3. Looping Structures -- §4. Branching Structures -- Appendix C. Computer Algebra Systems -- §1. AXIOM -- §2. Maple -- §3. Mathematica -- §4. REDUCE -- §5. Other Systems -- Appendix D. Independent Projects -- §1. General Comments -- §2. Suggested Projects -- References. |
| Record Nr. | UNINA-9910792489503321 |
|
Cox David
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA
| Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra / / by David Cox, John Little, DONAL OSHEA |
| Autore | Cox David |
| Edizione | [2nd ed. 1997.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
| Descrizione fisica | 1 online resource (XIII, 538 p. 44 illus.) |
| Disciplina |
511.3
516.35 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Logic, Symbolic and mathematical
Mathematical Logic and Foundations |
| ISBN | 1-4757-2693-7 |
| Classificazione | 14Qxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Geometry, Algebra, and Algorithms -- 2. Groebner Bases -- 3. Elimination Theory -- 4. The Algebra-Geometry Dictionary -- 5. Polynomial and Rational Functions on a Variety -- 6. Robotics and Automatic Geometric Theorem Proving -- 7. Invariant Theory of Finite Groups -- 8. Projective Algebraic Geometry -- 9. The Dimension of a Variety -- Appendix A. Some Concepts from Algebra -- §1 Fields and Rings -- §2. Groups -- §3. Determinants -- Appendix B. Pseudocode -- §1. Inputs, Outputs, Variables, and Constants -- §2. Assignment Statements -- §3. Looping Structures -- §4. Branching Structures -- Appendix C. Computer Algebra Systems -- §1. AXIOM -- §2. Maple -- §3. Mathematica -- §4. REDUCE -- §5. Other Systems -- Appendix D. Independent Projects -- §1. General Comments -- §2. Suggested Projects -- References. |
| Record Nr. | UNINA-9910967152903321 |
|
Cox David
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||