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Around the unit circle : mahler measure, integer matrices and roots of unity. / / James McKee and Chris Smyth
| Around the unit circle : mahler measure, integer matrices and roots of unity. / / James McKee and Chris Smyth |
| Autore | McKee James (James Fraser) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] |
| Descrizione fisica | 1 online resource (444 pages) |
| Disciplina | 512.7 |
| Collana | Universitext |
| Soggetto topico |
Polinomis
Number theory Algebras, Linear Graph theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80031-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466556003316 |
McKee James (James Fraser)
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Around the unit circle : mahler measure, integer matrices and roots of unity. / / James McKee and Chris Smyth
| Around the unit circle : mahler measure, integer matrices and roots of unity. / / James McKee and Chris Smyth |
| Autore | McKee James (James Fraser) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] |
| Descrizione fisica | 1 online resource (444 pages) |
| Disciplina | 512.7 |
| Collana | Universitext |
| Soggetto topico |
Polinomis
Number theory Algebras, Linear Graph theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80031-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910512159903321 |
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McKee James (James Fraser)
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Certificates of positivity for real polynomials : theory, practice, and applications / / Victoria Powers
| Certificates of positivity for real polynomials : theory, practice, and applications / / Victoria Powers |
| Autore | Powers Victoria |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (161 pages) : illustrations |
| Disciplina | 512.942 |
| Collana | Developments in mathematics |
| Soggetto topico |
Polinomis
Polynomials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030855475
9783030855468 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 0 Introduction -- 1 Preliminaries -- 1.1 Basic Notation -- 1.2 The Real Numbers -- 1.3 Polynomials -- 1.4 Polynomials Versus Forms -- 1.5 Matrices and Quadratic Forms -- 1.6 Convex Sets and Cones -- Reference -- 2 Sums of Squares and Positive Polynomials -- 2.1 SOS and PSD Polynomials -- 2.2 Hilbert's 17th Problem -- 2.2.1 Uniform Denominators -- 2.2.2 Degree Bounds -- 2.3 The Gap Between PSD and SOS Polynomials -- References -- 3 Global Certificates of Positivity -- 3.1 The Gram Matrix Method -- 3.2 From Gram Matrices to Certificates -- 3.3 Application: Global Optimization of Polynomials -- References -- 4 Positive Semidefinite Ternary Quartics -- 4.1 Proofs of Hilbert's Theorem on Ternary Quartics -- 4.2 Finding and Counting Sum of Squares Representations -- References -- 5 Positivity on Semialgebraic Sets -- 5.1 Semialgebraic Sets -- 5.2 Preorders and Quadratic Modules -- 5.3 Positivity Properties -- 5.4 Saturated Quadratic Modules and Preorders -- 5.5 The Positivstellensatz -- 5.6 Sums of Squares and Positivity on Algebraic Sets -- 5.7 Application: The Moment Problem -- References -- 6 The Archimedean Property -- 6.1 Archimedean T-Modules -- 6.2 Marshall's Representation Theorem -- 6.3 Application: Theorems of Handelman and Pólya -- References -- 7 Theorems of Schmüdgen and Putinar -- 7.1 Schmüdgen's Positivstellensatz -- 7.1.1 Wörmann's Proof -- 7.2 Putinar's Positivstellenstz -- 7.3 Minimal Representations -- 7.4 Constructive Proofs -- 7.4.1 Degree Bounds -- 7.5 Application: Polynomial Optimization on Compact Semialgebraic Sets -- References -- 8 The Dimension One Case -- 8.1 Positivity on a Closed Interval -- 8.1.1 Bernstein Representations -- 8.2 Basic Closed Semialgebraic Subsets of mathbbR -- 8.3 Positivity on Curves in the Plane -- References -- 9 Positivity on Polytopes -- 9.1 Pólya's Theorem.
9.1.1 Pólya's Theorem with Zeros -- 9.2 Certificates in Preprimes and Quadratic Modules -- 9.3 Applications -- 9.3.1 Approximating the Stability Number of a Graph -- 9.3.2 Minimization of Polynomials on Polytopes -- References -- 10 The Noncompact Case -- 10.1 Saturation in the Noncompact Case -- 10.2 Stability and Open Cones -- 10.3 Cylinders with Compact Cross-Section -- References -- 11 Sums of Squares of Rational Polynomials -- 11.1 Weighted Sums of Squares Representations -- 11.2 The Univariate Case -- 11.3 Sums of Rational Squares -- 11.4 Algorithmic Approaches -- References -- 12 Positive Polynomials with Special Structure -- 12.1 Symmetric Polynomials -- 12.2 Diagonal-Tail Forms -- 12.3 Agiforms -- 12.4 Circuit Polynomials -- 12.5 Application: Global Optimization Using Geometric Programming -- References -- Appendix A Real Algebra and Algebraic Geometry -- A.1 Algebraic Sets -- A.2 Real Fields -- A.3 Tarski-Seidenberg Theorem -- A.4 The Real Spectrum -- References -- Appendix Index of Notation -- Index. |
| Record Nr. | UNISA-996466561803316 |
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Powers Victoria
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometric configurations of singularities of planar polynomial differential systems : a global classification in the quadratic case / / Joan C. Artés [et al.]
| Geometric configurations of singularities of planar polynomial differential systems : a global classification in the quadratic case / / Joan C. Artés [et al.] |
| Autore | Artés Joan C. <1961-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (xii, 699 pages) |
| Disciplina | 514.746 |
| Soggetto topico |
Singularities (Mathematics)
Polynomials Differential equations Singularitats (Matemàtica) Polinomis Equacions diferencials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-50570-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I Polynomial differential systems with emphasis on the quadratic ones 1 Introduction 2 Survey of results on quadratic differential systems 3 Singularities of polynomial differential systems 4 Invariants in mathematical classification problems 5 Invariant theory of planar polynomial vector fields 6 Main results on classifications of singularities in QS 7 Classifications of quadratic systems with special singularities Part II 8 QS with finite singularities of total multiplicity at most one 9 QS with finite singularities of total multiplicity two 10 QS with finite singularities of total multiplicity three 11 QS with finite singularities of total multiplicity four 12 Degenerate quadratic systems 13 Conclusions |
| Record Nr. | UNISA-996466413203316 |
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Artés Joan C. <1961->
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometry of the Unit Sphere in Polynomial Spaces / / Jesús Ferrer [and five others]
| Geometry of the Unit Sphere in Polynomial Spaces / / Jesús Ferrer [and five others] |
| Autore | Ferrer Jesús |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (140 pages) |
| Disciplina | 515.7 |
| Collana | SpringerBriefs in Mathematics Series |
| Soggetto topico |
Functional analysis
Geometry, Algebraic Polynomials Anàlisi funcional Geometria algebraica Polinomis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-23676-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter. 1. Introduction -- Chapter. 2. Polynomials of degree -- Chapter. 3. Spaces of trinomials -- Chapter. 4. Polynomials on nonsymmetric convex bodies -- Chapter. 5. Sequence Banach spaces -- Chapter. 6. Polynomials with the hexagonal and octagonal norms -- Chapter. 7. Hilbert spaces -- Chapter. 8. Banach spaces -- Chapter. 9. Applications. |
| Record Nr. | UNISA-996518464003316 |
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Ferrer Jesús
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| Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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How many zeroes? : counting solutions of systems of polynomials via toric geometry at infinity / / Pinaki Mondal
| How many zeroes? : counting solutions of systems of polynomials via toric geometry at infinity / / Pinaki Mondal |
| Autore | Mondal Pinaki |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 512.9422 |
| Collana | CMS/CAIMS Books in Mathematics |
| Soggetto topico |
Polynomials
Polynomials - Data processing Varietats tòriques Polinomis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-75174-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466568803316 |
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Mondal Pinaki
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| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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How many zeroes? : counting solutions of systems of polynomials via toric geometry at infinity / / Pinaki Mondal
| How many zeroes? : counting solutions of systems of polynomials via toric geometry at infinity / / Pinaki Mondal |
| Autore | Mondal Pinaki |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 512.9422 |
| Collana | CMS/CAIMS Books in Mathematics |
| Soggetto topico |
Polynomials
Polynomials - Data processing Varietats tòriques Polinomis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-75174-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910508431303321 |
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Mondal Pinaki
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| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems / / by Albert C. J. Luo
| Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems / / by Albert C. J. Luo |
| Autore | Luo Albert C. J |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (VIII, 316 p. 50 illus., 49 illus. in color.) |
| Disciplina | 515.39 |
| Collana | Mathematics and Statistics Series |
| Soggetto topico |
Dynamics
System theory Control theory Differential equations Dynamical Systems Systems Theory, Control Complex Systems Differential Equations Cicles límits Polinomis Sistemes dinàmics diferenciables |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789819726172
9819726174 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Homoclinic Networks without Centers -- Bifurcations for Homoclinic Networks without Centers -- Homoclinic Networks with Centers -- Bifurcations for Homoclinic Networks with Centers. |
| Record Nr. | UNINA-9910999784403321 |
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Luo Albert C. J
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Macdonald Polynomials : Commuting Family of q-Difference Operators and Their Joint Eigenfunctions / / by Masatoshi Noumi
| Macdonald Polynomials : Commuting Family of q-Difference Operators and Their Joint Eigenfunctions / / by Masatoshi Noumi |
| Autore | Noumi Masatoshi |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (137 pages) |
| Disciplina | 530.15 |
| Collana | SpringerBriefs in Mathematical Physics |
| Soggetto topico |
Mathematical physics
Functions, Special Associative rings Associative algebras Mathematical Physics Special Functions Associative Rings and Algebras Polinomis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-9945-87-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Overview of Macdonald polynomials -- Preliminaries on symmetric functions -- Schur functions -- Macdonald polynomials: Definition and examples -- Orthogonality and higher order q-difference operators -- Self-duality, Pieri formula and Cauchy formulas -- Littlewood–Richardson coefficients and branching coefficients -- Affine Hecke algebra and q-Dunkl operators (overview). |
| Record Nr. | UNINA-9910746083403321 |
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Noumi Masatoshi
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Polynomial Diophantine Equations : A Systematic Approach / / by Bogdan Grechuk
| Polynomial Diophantine Equations : A Systematic Approach / / by Bogdan Grechuk |
| Autore | Grechuk Bogdan |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (824 pages) |
| Disciplina | 512.74 |
| Soggetto topico |
Number theory
Number Theory Anàlisi diofàntica Polinomis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-62949-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Explicit Solutions to Small Equations -- 2 Existence of Polynomial Parametrizations -- 3 Equations in Two Variables -- 4 Explicit Descriptions of the Solution Sets -- 5 The Finiteness Problem -- 6 Existence of Non-Trivial Solutions to Homogeneous Equations -- 7 Existence of Integer Solutions -- 8 Alternative Orderings of Diophantine Equations -- 9 Solutions to Selected Exercises (by Ashleigh Wilcox). |
| Record Nr. | UNINA-9910886090303321 |
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Grechuk Bogdan
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Polinomis
(10)
- Polynomials (5)
- Number theory (3)
- Algebras, Linear (2)
- Differential equations (2)