Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Latin squares and their applications / / J. Dénes, A. D. Keedwell
| Latin squares and their applications / / J. Dénes, A. D. Keedwell |
| Autore | Dénes J. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2015 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 512.9/25 |
| Soggetto topico | Magic squares |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-444-63558-0
0-444-63555-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Front Cover""; ""Latin Squares and their Applications""; ""Copyright""; ""Foreword to the First Edition""; ""Contents""; ""Preface to the First Edition""; ""Acknowledgements (First Edition)""; ""Preface to the Second Edition""; ""Chapter 1: Elementary Properties""; ""1.1 The Multiplication Table of a Quasigroup""; ""1.2 The Cayley Table of a Group""; ""1.3 Isotopy""; ""1.4 Conjugacy and Parastrophy""; ""1.5 Transversals and Complete Mappings""; ""1.6 Latin Subsquares and Subquasigroups""; ""Chapter 2: Special Types of Latin Square""; ""2.1 Quasigroup Identities and Latin Squares""
""2.2 Quasigroups of Some Special Types and the Concept of Generalized Associativity""""2.3 Triple Systems and Quasigroups""; ""2.4 Group-Based Latin Squares and Nuclei of Loops""; ""2.5 Transversals in Group-Based Latin Squares""; ""2.6 Complete Latin Squares""; ""Chapter 3: Partial Latin Squares and Partial Transversals""; ""3.1 Latin Rectangles and Row Latin Squares""; ""3.2 Critical Sets and Sudoku Puzzles""; ""3.3 Fuchs� Problems""; ""3.4 Incomplete Latin Squares and Partial Quasigroups""; ""3.5 Partial Transversals and Generalized Transversals"" ""Chapter 4: Classification and Enumeration of Latin Squares and Latin Rectangles""""4.1 The Autotopism Group of a Quasigroup""; ""4.2 Classification of Latin Squares""; ""4.3 History of the Classification and Enumeration of Latin Squares""; ""4.4 Enumeration of Latin Rectangles""; ""4.5 Enumeration of Transversals""; ""4.6 Enumeration of Subsquares""; ""Chapter 5: The Concept of Orthogonality""; ""5.1 Existence Questions for Incomplete Sets of Orthogonal Latin Squares""; ""5.2 Complete Sets of Orthogonal Latin Squares and Projective Planes""; ""5.3 Sets of MOLS of Maximum and Minimum Size"" ""5.4 Orthogonal Quasigroups, Qroupoids and Triple Systems""""5.5 Self-Orthogonal and Other Parastrophic Orthogonal Latin Squares and Quasigroups""; ""5.6 Orthogonality in Other Structures Related to Latin Squares""; ""Chapter 6: Connections Between Latin Squares and Magic Squares""; ""6.1 Diagonal (or Magic) Latin Squares""; ""6.2 Construction of Magic Squares with the Aid of Orthogonal Latin Squares.""; ""6.3 Additional Results on Magic Squares""; ""6.4 Room Squares: Their Construction and Uses"" ""Chapter 7: Constructions of Orthogonal Latin Squares Which Involve Rearrangement of Rows and Columns""""7.1 Generalized Bose Construction: Constructions Based on Abelian Groups""; ""7.2 The Automorphism Method of H.B. Mann""; ""7.3 The Construction of Pairs of Orthogonal Latin Squares of Order Ten""; ""7.4 The Column Method""; ""7.5 The Diagonal Method""; ""7.6 Left Neofields and Orthomorphisms of Groups""; ""Chapter 8: Connections with Geometry and Graph Theory""; ""8.1 Quasigroups and 3-Nets""; ""8.2 Orthogonal Latin Squares, k-Nets and Introduction of Co-ordinates"" ""8.3 Latin Squares and Graphs"" |
| Record Nr. | UNISA-996426341203316 |
Dénes J.
|
||
| Amsterdam, [Netherlands] : , : Academic Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Latin squares and their applications / / J. Dénes, A. D. Keedwell
| Latin squares and their applications / / J. Dénes, A. D. Keedwell |
| Autore | Dénes J. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2015 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 512.9/25 |
| Soggetto topico | Magic squares |
| ISBN |
0-444-63558-0
0-444-63555-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Front Cover""; ""Latin Squares and their Applications""; ""Copyright""; ""Foreword to the First Edition""; ""Contents""; ""Preface to the First Edition""; ""Acknowledgements (First Edition)""; ""Preface to the Second Edition""; ""Chapter 1: Elementary Properties""; ""1.1 The Multiplication Table of a Quasigroup""; ""1.2 The Cayley Table of a Group""; ""1.3 Isotopy""; ""1.4 Conjugacy and Parastrophy""; ""1.5 Transversals and Complete Mappings""; ""1.6 Latin Subsquares and Subquasigroups""; ""Chapter 2: Special Types of Latin Square""; ""2.1 Quasigroup Identities and Latin Squares""
""2.2 Quasigroups of Some Special Types and the Concept of Generalized Associativity""""2.3 Triple Systems and Quasigroups""; ""2.4 Group-Based Latin Squares and Nuclei of Loops""; ""2.5 Transversals in Group-Based Latin Squares""; ""2.6 Complete Latin Squares""; ""Chapter 3: Partial Latin Squares and Partial Transversals""; ""3.1 Latin Rectangles and Row Latin Squares""; ""3.2 Critical Sets and Sudoku Puzzles""; ""3.3 Fuchs� Problems""; ""3.4 Incomplete Latin Squares and Partial Quasigroups""; ""3.5 Partial Transversals and Generalized Transversals"" ""Chapter 4: Classification and Enumeration of Latin Squares and Latin Rectangles""""4.1 The Autotopism Group of a Quasigroup""; ""4.2 Classification of Latin Squares""; ""4.3 History of the Classification and Enumeration of Latin Squares""; ""4.4 Enumeration of Latin Rectangles""; ""4.5 Enumeration of Transversals""; ""4.6 Enumeration of Subsquares""; ""Chapter 5: The Concept of Orthogonality""; ""5.1 Existence Questions for Incomplete Sets of Orthogonal Latin Squares""; ""5.2 Complete Sets of Orthogonal Latin Squares and Projective Planes""; ""5.3 Sets of MOLS of Maximum and Minimum Size"" ""5.4 Orthogonal Quasigroups, Qroupoids and Triple Systems""""5.5 Self-Orthogonal and Other Parastrophic Orthogonal Latin Squares and Quasigroups""; ""5.6 Orthogonality in Other Structures Related to Latin Squares""; ""Chapter 6: Connections Between Latin Squares and Magic Squares""; ""6.1 Diagonal (or Magic) Latin Squares""; ""6.2 Construction of Magic Squares with the Aid of Orthogonal Latin Squares.""; ""6.3 Additional Results on Magic Squares""; ""6.4 Room Squares: Their Construction and Uses"" ""Chapter 7: Constructions of Orthogonal Latin Squares Which Involve Rearrangement of Rows and Columns""""7.1 Generalized Bose Construction: Constructions Based on Abelian Groups""; ""7.2 The Automorphism Method of H.B. Mann""; ""7.3 The Construction of Pairs of Orthogonal Latin Squares of Order Ten""; ""7.4 The Column Method""; ""7.5 The Diagonal Method""; ""7.6 Left Neofields and Orthomorphisms of Groups""; ""Chapter 8: Connections with Geometry and Graph Theory""; ""8.1 Quasigroups and 3-Nets""; ""8.2 Orthogonal Latin Squares, k-Nets and Introduction of Co-ordinates"" ""8.3 Latin Squares and Graphs"" |
| Record Nr. | UNINA-9910797336503321 |
|
Dénes J.
|
||
| Amsterdam, [Netherlands] : , : Academic Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Latin squares and their applications / / J. Dénes, A. D. Keedwell
| Latin squares and their applications / / J. Dénes, A. D. Keedwell |
| Autore | Dénes J. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2015 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 512.9/25 |
| Soggetto topico | Magic squares |
| ISBN |
0-444-63558-0
0-444-63555-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Front Cover""; ""Latin Squares and their Applications""; ""Copyright""; ""Foreword to the First Edition""; ""Contents""; ""Preface to the First Edition""; ""Acknowledgements (First Edition)""; ""Preface to the Second Edition""; ""Chapter 1: Elementary Properties""; ""1.1 The Multiplication Table of a Quasigroup""; ""1.2 The Cayley Table of a Group""; ""1.3 Isotopy""; ""1.4 Conjugacy and Parastrophy""; ""1.5 Transversals and Complete Mappings""; ""1.6 Latin Subsquares and Subquasigroups""; ""Chapter 2: Special Types of Latin Square""; ""2.1 Quasigroup Identities and Latin Squares""
""2.2 Quasigroups of Some Special Types and the Concept of Generalized Associativity""""2.3 Triple Systems and Quasigroups""; ""2.4 Group-Based Latin Squares and Nuclei of Loops""; ""2.5 Transversals in Group-Based Latin Squares""; ""2.6 Complete Latin Squares""; ""Chapter 3: Partial Latin Squares and Partial Transversals""; ""3.1 Latin Rectangles and Row Latin Squares""; ""3.2 Critical Sets and Sudoku Puzzles""; ""3.3 Fuchs� Problems""; ""3.4 Incomplete Latin Squares and Partial Quasigroups""; ""3.5 Partial Transversals and Generalized Transversals"" ""Chapter 4: Classification and Enumeration of Latin Squares and Latin Rectangles""""4.1 The Autotopism Group of a Quasigroup""; ""4.2 Classification of Latin Squares""; ""4.3 History of the Classification and Enumeration of Latin Squares""; ""4.4 Enumeration of Latin Rectangles""; ""4.5 Enumeration of Transversals""; ""4.6 Enumeration of Subsquares""; ""Chapter 5: The Concept of Orthogonality""; ""5.1 Existence Questions for Incomplete Sets of Orthogonal Latin Squares""; ""5.2 Complete Sets of Orthogonal Latin Squares and Projective Planes""; ""5.3 Sets of MOLS of Maximum and Minimum Size"" ""5.4 Orthogonal Quasigroups, Qroupoids and Triple Systems""""5.5 Self-Orthogonal and Other Parastrophic Orthogonal Latin Squares and Quasigroups""; ""5.6 Orthogonality in Other Structures Related to Latin Squares""; ""Chapter 6: Connections Between Latin Squares and Magic Squares""; ""6.1 Diagonal (or Magic) Latin Squares""; ""6.2 Construction of Magic Squares with the Aid of Orthogonal Latin Squares.""; ""6.3 Additional Results on Magic Squares""; ""6.4 Room Squares: Their Construction and Uses"" ""Chapter 7: Constructions of Orthogonal Latin Squares Which Involve Rearrangement of Rows and Columns""""7.1 Generalized Bose Construction: Constructions Based on Abelian Groups""; ""7.2 The Automorphism Method of H.B. Mann""; ""7.3 The Construction of Pairs of Orthogonal Latin Squares of Order Ten""; ""7.4 The Column Method""; ""7.5 The Diagonal Method""; ""7.6 Left Neofields and Orthomorphisms of Groups""; ""Chapter 8: Connections with Geometry and Graph Theory""; ""8.1 Quasigroups and 3-Nets""; ""8.2 Orthogonal Latin Squares, k-Nets and Introduction of Co-ordinates"" ""8.3 Latin Squares and Graphs"" |
| Record Nr. | UNINA-9910827538203321 |
|
Dénes J.
|
||
| Amsterdam, [Netherlands] : , : Academic Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||