Algebra and logic |
Pubbl/distr/stampa | [New York, N.Y.], : Plenum Pub |
Disciplina | 511.324 |
Soggetto topico |
Algebraic logic
Algebra Logic, Symbolic and mathematical Logique algébrique Algèbre Logic Logica |
Soggetto genere / forma | Periodicals. |
ISSN | 1573-8302 |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996215985703316 |
[New York, N.Y.], : Plenum Pub | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Algebra and logic |
Pubbl/distr/stampa | [New York, N.Y.], : Plenum Pub |
Disciplina | 511.324 |
Soggetto topico |
Algebraic logic
Algebra Logic, Symbolic and mathematical Logique algébrique Algèbre Logic Logica |
Soggetto genere / forma | Periodicals. |
ISSN | 1573-8302 |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910141124203321 |
[New York, N.Y.], : Plenum Pub | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraizable logics / / W.J. Blok and Don Pigozzi |
Autore | Blok W. J. <1947-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (89 p.) |
Disciplina | 511.3/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Algebraic logic |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0816-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""1 Deductive Systems and Matrix Semantics""; ""1.1 The Lattice of Theories""; ""1.2 Matrix Semantics""; ""1.3 Deductive Systems as Elementary Theories""; ""1.4 The Elementary Leibniz Equivalence Relation""; ""1.4.1 Protoalgebraic Logics""; ""2 Equational Consequence and Algebraic Semantics""; ""2.1 Algebraic Semantics""; ""2.2 Equivalent Algebraic Semantics""; ""2.2.1 Uniqueness""; ""2.2.2 Axiomatization""; ""3 The Lattice of Theories""; ""4 Two Intrinsic Characterizations""; ""4.1 The Leibniz Operator""; ""4.2 A Second Intrinsic Characterization""
""5 Matrix Semantics and Algebraizability""""5.1 Matrix Semantics and Algebraic Semantics""; ""5.2 Applications and Examples""; ""5.2.1 Modal Logics""; ""5.2.2 Entailment and Relevance Logics""; ""5.2.3 Pure Implicational Logics""; ""5.2.4 Two Logics with the Same Algebraization""; ""5.2.5 Intuitionistic Propositional Logic without Implication""; ""5.2.6 Equivalential Logic""; ""A: Elementary Definitional Equivalence""; ""B: An Example""; ""C: Predicate Logic""; ""Bibliography""; ""Index""; ""A""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R"" ""S""""T""; ""U"" |
Record Nr. | UNINA-9910480677203321 |
Blok W. J. <1947-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraizable logics / / W.J. Blok and Don Pigozzi |
Autore | Blok W. J. <1947-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (89 p.) |
Disciplina | 511.3/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Algebraic logic |
ISBN | 1-4704-0816-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""1 Deductive Systems and Matrix Semantics""; ""1.1 The Lattice of Theories""; ""1.2 Matrix Semantics""; ""1.3 Deductive Systems as Elementary Theories""; ""1.4 The Elementary Leibniz Equivalence Relation""; ""1.4.1 Protoalgebraic Logics""; ""2 Equational Consequence and Algebraic Semantics""; ""2.1 Algebraic Semantics""; ""2.2 Equivalent Algebraic Semantics""; ""2.2.1 Uniqueness""; ""2.2.2 Axiomatization""; ""3 The Lattice of Theories""; ""4 Two Intrinsic Characterizations""; ""4.1 The Leibniz Operator""; ""4.2 A Second Intrinsic Characterization""
""5 Matrix Semantics and Algebraizability""""5.1 Matrix Semantics and Algebraic Semantics""; ""5.2 Applications and Examples""; ""5.2.1 Modal Logics""; ""5.2.2 Entailment and Relevance Logics""; ""5.2.3 Pure Implicational Logics""; ""5.2.4 Two Logics with the Same Algebraization""; ""5.2.5 Intuitionistic Propositional Logic without Implication""; ""5.2.6 Equivalential Logic""; ""A: Elementary Definitional Equivalence""; ""B: An Example""; ""C: Predicate Logic""; ""Bibliography""; ""Index""; ""A""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R"" ""S""""T""; ""U"" |
Record Nr. | UNINA-9910788870803321 |
Blok W. J. <1947-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraizable logics / / W.J. Blok and Don Pigozzi |
Autore | Blok W. J. <1947-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (89 p.) |
Disciplina | 511.3/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Algebraic logic |
ISBN | 1-4704-0816-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""1 Deductive Systems and Matrix Semantics""; ""1.1 The Lattice of Theories""; ""1.2 Matrix Semantics""; ""1.3 Deductive Systems as Elementary Theories""; ""1.4 The Elementary Leibniz Equivalence Relation""; ""1.4.1 Protoalgebraic Logics""; ""2 Equational Consequence and Algebraic Semantics""; ""2.1 Algebraic Semantics""; ""2.2 Equivalent Algebraic Semantics""; ""2.2.1 Uniqueness""; ""2.2.2 Axiomatization""; ""3 The Lattice of Theories""; ""4 Two Intrinsic Characterizations""; ""4.1 The Leibniz Operator""; ""4.2 A Second Intrinsic Characterization""
""5 Matrix Semantics and Algebraizability""""5.1 Matrix Semantics and Algebraic Semantics""; ""5.2 Applications and Examples""; ""5.2.1 Modal Logics""; ""5.2.2 Entailment and Relevance Logics""; ""5.2.3 Pure Implicational Logics""; ""5.2.4 Two Logics with the Same Algebraization""; ""5.2.5 Intuitionistic Propositional Logic without Implication""; ""5.2.6 Equivalential Logic""; ""A: Elementary Definitional Equivalence""; ""B: An Example""; ""C: Predicate Logic""; ""Bibliography""; ""Index""; ""A""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R"" ""S""""T""; ""U"" |
Record Nr. | UNINA-9910827797803321 |
Blok W. J. <1947-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebre di Hilbert con particolare riferimento alle algebre implicative. Tesi di laurea / laureanda Annunziata Tomba ; relat. D. Lenzi |
Autore | Tomba, Annunziata |
Pubbl/distr/stampa | Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1986-87 |
Disciplina | 511.33 |
Altri autori (Persone) | Lenzi, Domenico |
Soggetto topico | Algebraic logic |
Classificazione |
AMS 03G
AMS 03G10 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991000666669707536 |
Tomba, Annunziata | ||
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1986-87 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Boole's logic and probability : a critical exposition from the standpoint of contemporary algebra, logic, and probability theory / Theodore Hailperin |
Autore | Hailperin, Theodore |
Pubbl/distr/stampa | Amsterdam : North-Holland ; New York : sole distributors for the U.S.A. and Canada American Elsevier, 1976 |
Descrizione fisica | x, 245 p. ; 23 cm. |
Disciplina | 511.3 |
Collana | Studies in logic and the foundations of mathematics, ISSN 0049237X ; 85 |
Soggetto topico |
Algebraic logic
Boolean algebra Probabilities |
ISBN | 0444110372 |
Classificazione | AMS 03B48 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000720629707536 |
Hailperin, Theodore | ||
Amsterdam : North-Holland ; New York : sole distributors for the U.S.A. and Canada American Elsevier, 1976 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke |
Autore | Cooke Roger <1942-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina | 512 |
Soggetto topico |
Algebra
Algebra - History Algebraic logic |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-28501-3
9786611285012 0-470-27798-X 0-470-27797-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Classical Algebra Its Nature, Origins, and Uses; Contents; Preface; Part 1. Numbers and Equations; Lesson 1. What Algebra Is; 1. Numbers in disguise; 1.1.""Classical"" and modern algebra; 2. Arithmetic and algebra; 3. The ""environment"" of algebra: Number systems; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 2. Equations and Their Solutions; 1. Polynomial equations, coefficients, and roots; 1.1. Geometric interpretations; 2. The classification of equations; 2.1. Diophantine equations
3. Numerical and formulaic approaches to equations3.1. The numerical approach; 3.2. The formulaic approach; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 3. Where Algebra Comes From; 1. An Egyptian problem; 2. A Mesopotamian problem; 3. A Chinese problem; 4. An Arabic problem; 5. A Japanese problem; 6. Problems and questions; 7. Further reading; Lesson 4. Why Algebra Is Important; 1. Example: An ideal pendulum; 2. Problems and questions; 3. Further reading; Lesson 5. Numerical Solution of Equations; 1. A simple but crude method 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 4.1. Noninteger solutions; 5. The cubic equation; 6. Problems and questions; 7. Further reading; Part 2. The Formulaic Approach to Equations; Lesson 6. Combinatoric Solutions I: Quadratic Equations; 1. Why not set up tables of solutions?; 2. The quadratic formula; 3. Problems and questions; 4. Further reading; Lesson 7. Combinatoric Solutions II: Cubic Equations; 1. Reduction from four parameters to one; 2. Graphical solutions of cubic equations 3. Efforts to find a cubic formula3.1. Cube roots of complex numbers; 4. Alternative forms of the cubic formula; 5. The ""irreducible case""; 5.1. Imaginary numbers; 6. Problems and questions; 7. Further reading; Part 3. Resolvents; Lesson 8. From Combinatorics to Resolvents; 1. Solution of the irreducible case using complex numbers; 2. The quartic equation; 3. Viete's solution of the irreducible case of the cubic; 3.1. Comparison of the Viète and Cardano solutions; 4. The Tschirnhaus solution of the cubic equation; 5. Lagrange's reflections on the cubic equation 5.1. The cubic formula in terms of the roots5.2. A test case: The quartic; 6. Problems and questions; 7. Further reading; Lesson 9. The Search for Resolvents; 1. Coefficients and roots; 2. A unified approach to equations of all degrees; 2.1. A resolvent for the cubic equation; 3. A resolvent for the general quartic equation; 4. The state of polynomial algebra in 1770; 4.1. Seeking a resolvent for the quintic; 5. Permutations enter algebra; 6. Permutations of the variables in a function; 6.1.Two-valued functions; 7. Problems and questions; 8. Further reading; Part 4. Abstract Algebra Lesson 10. Existence and Constructibility of Roots |
Record Nr. | UNINA-9910145585903321 |
Cooke Roger <1942-> | ||
Hoboken, N.J., : Wiley-Interscience, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke |
Autore | Cooke Roger <1942-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina | 512 |
Soggetto topico |
Algebra
Algebra - History Algebraic logic |
ISBN |
1-281-28501-3
9786611285012 0-470-27798-X 0-470-27797-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Classical Algebra Its Nature, Origins, and Uses; Contents; Preface; Part 1. Numbers and Equations; Lesson 1. What Algebra Is; 1. Numbers in disguise; 1.1.""Classical"" and modern algebra; 2. Arithmetic and algebra; 3. The ""environment"" of algebra: Number systems; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 2. Equations and Their Solutions; 1. Polynomial equations, coefficients, and roots; 1.1. Geometric interpretations; 2. The classification of equations; 2.1. Diophantine equations
3. Numerical and formulaic approaches to equations3.1. The numerical approach; 3.2. The formulaic approach; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 3. Where Algebra Comes From; 1. An Egyptian problem; 2. A Mesopotamian problem; 3. A Chinese problem; 4. An Arabic problem; 5. A Japanese problem; 6. Problems and questions; 7. Further reading; Lesson 4. Why Algebra Is Important; 1. Example: An ideal pendulum; 2. Problems and questions; 3. Further reading; Lesson 5. Numerical Solution of Equations; 1. A simple but crude method 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 4.1. Noninteger solutions; 5. The cubic equation; 6. Problems and questions; 7. Further reading; Part 2. The Formulaic Approach to Equations; Lesson 6. Combinatoric Solutions I: Quadratic Equations; 1. Why not set up tables of solutions?; 2. The quadratic formula; 3. Problems and questions; 4. Further reading; Lesson 7. Combinatoric Solutions II: Cubic Equations; 1. Reduction from four parameters to one; 2. Graphical solutions of cubic equations 3. Efforts to find a cubic formula3.1. Cube roots of complex numbers; 4. Alternative forms of the cubic formula; 5. The ""irreducible case""; 5.1. Imaginary numbers; 6. Problems and questions; 7. Further reading; Part 3. Resolvents; Lesson 8. From Combinatorics to Resolvents; 1. Solution of the irreducible case using complex numbers; 2. The quartic equation; 3. Viete's solution of the irreducible case of the cubic; 3.1. Comparison of the Viète and Cardano solutions; 4. The Tschirnhaus solution of the cubic equation; 5. Lagrange's reflections on the cubic equation 5.1. The cubic formula in terms of the roots5.2. A test case: The quartic; 6. Problems and questions; 7. Further reading; Lesson 9. The Search for Resolvents; 1. Coefficients and roots; 2. A unified approach to equations of all degrees; 2.1. A resolvent for the cubic equation; 3. A resolvent for the general quartic equation; 4. The state of polynomial algebra in 1770; 4.1. Seeking a resolvent for the quintic; 5. Permutations enter algebra; 6. Permutations of the variables in a function; 6.1.Two-valued functions; 7. Problems and questions; 8. Further reading; Part 4. Abstract Algebra Lesson 10. Existence and Constructibility of Roots |
Record Nr. | UNINA-9910830823203321 |
Cooke Roger <1942-> | ||
Hoboken, N.J., : Wiley-Interscience, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical algebra : its nature, origins, and uses / / Roger Cooke |
Autore | Cooke Roger <1942-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina | 512 |
Soggetto topico |
Algebra
Algebra - History Algebraic logic |
ISBN |
1-281-28501-3
9786611285012 0-470-27798-X 0-470-27797-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Classical Algebra Its Nature, Origins, and Uses; Contents; Preface; Part 1. Numbers and Equations; Lesson 1. What Algebra Is; 1. Numbers in disguise; 1.1.""Classical"" and modern algebra; 2. Arithmetic and algebra; 3. The ""environment"" of algebra: Number systems; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 2. Equations and Their Solutions; 1. Polynomial equations, coefficients, and roots; 1.1. Geometric interpretations; 2. The classification of equations; 2.1. Diophantine equations
3. Numerical and formulaic approaches to equations3.1. The numerical approach; 3.2. The formulaic approach; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 3. Where Algebra Comes From; 1. An Egyptian problem; 2. A Mesopotamian problem; 3. A Chinese problem; 4. An Arabic problem; 5. A Japanese problem; 6. Problems and questions; 7. Further reading; Lesson 4. Why Algebra Is Important; 1. Example: An ideal pendulum; 2. Problems and questions; 3. Further reading; Lesson 5. Numerical Solution of Equations; 1. A simple but crude method 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 4.1. Noninteger solutions; 5. The cubic equation; 6. Problems and questions; 7. Further reading; Part 2. The Formulaic Approach to Equations; Lesson 6. Combinatoric Solutions I: Quadratic Equations; 1. Why not set up tables of solutions?; 2. The quadratic formula; 3. Problems and questions; 4. Further reading; Lesson 7. Combinatoric Solutions II: Cubic Equations; 1. Reduction from four parameters to one; 2. Graphical solutions of cubic equations 3. Efforts to find a cubic formula3.1. Cube roots of complex numbers; 4. Alternative forms of the cubic formula; 5. The ""irreducible case""; 5.1. Imaginary numbers; 6. Problems and questions; 7. Further reading; Part 3. Resolvents; Lesson 8. From Combinatorics to Resolvents; 1. Solution of the irreducible case using complex numbers; 2. The quartic equation; 3. Viete's solution of the irreducible case of the cubic; 3.1. Comparison of the Viète and Cardano solutions; 4. The Tschirnhaus solution of the cubic equation; 5. Lagrange's reflections on the cubic equation 5.1. The cubic formula in terms of the roots5.2. A test case: The quartic; 6. Problems and questions; 7. Further reading; Lesson 9. The Search for Resolvents; 1. Coefficients and roots; 2. A unified approach to equations of all degrees; 2.1. A resolvent for the cubic equation; 3. A resolvent for the general quartic equation; 4. The state of polynomial algebra in 1770; 4.1. Seeking a resolvent for the quintic; 5. Permutations enter algebra; 6. Permutations of the variables in a function; 6.1.Two-valued functions; 7. Problems and questions; 8. Further reading; Part 4. Abstract Algebra Lesson 10. Existence and Constructibility of Roots |
Record Nr. | UNINA-9910877703503321 |
Cooke Roger <1942-> | ||
Hoboken, N.J., : Wiley-Interscience, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|