Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
Descrizione fisica | 1 online resource (717 p.) |
Disciplina | 516.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
ISBN | 1-4008-4741-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910786795203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
Descrizione fisica | 1 online resource (717 p.) |
Disciplina | 516.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
ISBN | 1-4008-4741-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910812510203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 / / Francis Joseph Murray |
Autore | Murray Francis Joseph |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 512.86 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Transformations (Mathematics)
Hyperspace |
Soggetto non controllato |
Additive function
Adjoint Affine space Axiom Banach space Boundary value problem Cartesian coordinate system Characteristic function (probability theory) Combination Commutative property Compact space Contradiction Coordinate system Corollary Countable set Differential operator Dimension (vector space) Effective method Equation Existential quantification Fourier transform Function (mathematics) Group algebra Hamiltonian mechanics Hamiltonian system Hilbert space Integral transform Jacobi matrix Lebesgue integration Limit point Linear combination Linear map Linear space (geometry) Mathematics Measure (mathematics) Metric space Moment problem Mutual exclusivity Necessity and sufficiency Normal operator Operational calculus Orthonormality Rational number Self-adjoint operator Self-adjoint Statistic Step function Subset Summation System of linear equations Theorem Topological group Topology Unit sphere Unitary transformation Vector space Weak convergence (Hilbert space) Weak convergence |
ISBN | 1-4008-8226-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- Chapter I. INTRODUCTION -- Chapter II. HILBERT SPACE -- Chapter III. REALIZATIONS OF HILBERT SPA -- Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS -- Chapter V. WEAK CONVERGENCE -- Chapter VI. PROJECTIONS AND ISOMETRY -- Chapter VII . RESOLUTIONS OF THE IDENTITY -- Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS -- Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS -- Chapter X. SYMMETRIC OPERATORS -- Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS -- Chapter XII. REFERENCES TO APPLICATIONS -- REFERENCES |
Record Nr. | UNINA-9910154747903321 |
Murray Francis Joseph
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Linear Inequalities and Related Systems. (AM-38), Volume 38 / / Harold William Kuhn, Albert William Tucker |
Autore | Kuhn Harold William |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (353 pages) : illustrations, tables |
Disciplina | 512.89 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Linear programming
Matrices Game theory |
Soggetto non controllato |
Banach space
Basic solution (linear programming) Big O notation Bilinear form Boundary (topology) Brouwer fixed-point theorem Characterization (mathematics) Coefficient Combination Computation Computational problem Convex combination Convex cone Convex hull Convex set Corollary Correlation and dependence Cramer's rule Cyclic permutation Dedekind cut Degeneracy (mathematics) Determinant Diagram (category theory) Dilworth's theorem Dimension (vector space) Directional derivative Disjoint sets Doubly stochastic matrix Dual space Duality (mathematics) Duality (optimization) Eigenvalues and eigenvectors Elementary proof Equation solving Equation Equivalence class Euclidean space Existence theorem Existential quantification Extreme point Fixed-point theorem Functional analysis Fundamental theorem General equilibrium theory Hall's theorem Hilbert space Incidence matrix Inequality (mathematics) Infimum and supremum Invertible matrix Kakutani fixed-point theorem Lagrange multiplier Linear equation Linear inequality Linear map Linear programming Linear space (geometry) Linear subspace Loss function Main diagonal Mathematical induction Mathematical optimization Mathematical problem Max-flow min-cut theorem Maxima and minima Maximal set Maximum flow problem Menger's theorem Minor (linear algebra) Monotonic function N-vector Nonlinear programming Nonnegative matrix Parity (mathematics) Partially ordered set Permutation matrix Permutation Polyhedron Quantity Representation theorem Row and column vectors Scientific notation Sensitivity analysis Set notation Sign (mathematics) Simplex algorithm Simultaneous equations Solution set Special case Subset Summation System of linear equations Theorem Transpose Unit sphere Unit vector Upper and lower bounds Variable (mathematics) Vector space Von Neumann's theorem |
ISBN | 1-4008-8198-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 . Dual Systems of Homogeneous Linear Relations / Tucker, A. W. -- 2. Polyhedral Convex Cones / Goldman, A. J. / Tucker, A. W. -- 3 . Resolution and Separation Theorems for Polyhedral Convex Sets / Goldman, A. J. -- 4. Theory of Linear Programming / Goldman, A. J. / Tucker, A. W. -- 5. On Systems of Linear Inequalities / Pan, Ky -- 6. Infinite Programs / Duffin, R . J . -- 7* A Primal-Dual Algorithm for Linear Programs / Dantzig, G. B. / Ford, L. R. / Fulkerson, D. R. -- 8. Marginal Values of Matrix Games and Linear Programs / Mills, Harlan D. -- 9 . Determinateness of Polyhedral Games / Wolfe, Philip -- 10. On Systems of Distinct Representatives / Hoffman, A. J. / Kuhn, H. W. -- 11. Dilworth's Theorem on Partially Ordered Sets / Dantzig, G. B. / Hoffman, A. J. -- 12. On the Max-Flow Min-Cut Theorem of Networks / Dantzig, G. B. / Fulkerson, D. R. -- 13. Integral Boundary Points of Convex Polyhedra / Hoffman, A. J. / Kruskal, J. B. -- 14 . An Extension of a Theorem of Dantzig's / Heller, I. / Tompkins, C. B. -- 15. Neighboring Vertices on a Convex Polyhedron / Gale, David -- 16. On a Theorem of Wald / Kuhn, H. W. -- 17. On the Solution of a Game-Theoretic Problem / Thompson, Gerald L. -- 18. The Closed Linear Model of Production / Gale, David -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154749603321 |
Kuhn Harold William
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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