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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 | ||
| ||
Orthomorphism graphs of groups / / Anthony B. Evans
| Orthomorphism graphs of groups / / Anthony B. Evans |
| Autore | Evans Anthony B. <1949-> |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1992] |
| Descrizione fisica | 1 online resource (VIII, 116 p.) |
| Disciplina | 511.64 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Magic squares
Finite geometries |
| ISBN | 3-540-47541-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Elementary abelian groups -- Cyclotomic orthomorphisms -- Automorphisms and translation nets -- Further results -- Data for small groups -- Research directions. |
| Record Nr. | UNISA-996466581603316 |
|
Evans Anthony B. <1949->
|
||
| Berlin, Heidelberg : , : Springer-Verlag, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Orthomorphism graphs of groups / Anthony B. Evans
| Orthomorphism graphs of groups / Anthony B. Evans |
| Autore | Evans, Anthony B. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1992 |
| Descrizione fisica | viii, 114 p. : ill. ; 25 cm. |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1535 |
| Soggetto topico |
Finite geometries
Magic squares |
| ISBN | 3540563512 |
| Classificazione |
AMS 05-02
AMS 05B15 AMS 51E15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001215039707536 |
|
Evans, Anthony B.
|
||
| Berlin : Springer-Verlag, c1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The Zen of magic squares, circles, and stars [[electronic resource] ] : an exhibition of surprising structures across dimensions / / Clifford A. Pickover
| The Zen of magic squares, circles, and stars [[electronic resource] ] : an exhibition of surprising structures across dimensions / / Clifford A. Pickover |
| Autore | Pickover Clifford A |
| Edizione | [Core Textbook] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2002 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 511/.64 |
| Soggetto topico |
Magic squares
Mathematical recreations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-33990-0
9786613339904 1-4008-4151-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Introduction -- CHAPTER ONE. Magic Construction -- CHAPTER TWO. Classification -- CHAPTER THREE. Gallery 1: Squares, Cubes, and Tesseracts -- CHAPTER FOUR. Gallery 2: Circles and Spheres -- CHAPTER FIVE. Gallery 3: Stars, Hexagons, and Other Beauties -- Some Final Thoughts -- Notes -- Index -- About the Author |
| Record Nr. | UNINA-9910457641103321 |
|
Pickover Clifford A
|
||
| Princeton, N.J., : Princeton University Press, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Zen of magic squares, circles, and stars [[electronic resource] ] : an exhibition of surprising structures across dimensions / / Clifford A. Pickover
| The Zen of magic squares, circles, and stars [[electronic resource] ] : an exhibition of surprising structures across dimensions / / Clifford A. Pickover |
| Autore | Pickover Clifford A |
| Edizione | [Core Textbook] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2002 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 511/.64 |
| Soggetto topico |
Magic squares
Mathematical recreations |
| ISBN |
1-283-33990-0
9786613339904 1-4008-4151-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Introduction -- CHAPTER ONE. Magic Construction -- CHAPTER TWO. Classification -- CHAPTER THREE. Gallery 1: Squares, Cubes, and Tesseracts -- CHAPTER FOUR. Gallery 2: Circles and Spheres -- CHAPTER FIVE. Gallery 3: Stars, Hexagons, and Other Beauties -- Some Final Thoughts -- Notes -- Index -- About the Author |
| Record Nr. | UNINA-9910781570803321 |
|
Pickover Clifford A
|
||
| Princeton, N.J., : Princeton University Press, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The zen of magic squares, circles, and stars : an exhibition of surprising structures across dimensions / Clifford A. Pickover
| The zen of magic squares, circles, and stars : an exhibition of surprising structures across dimensions / Clifford A. Pickover |
| Autore | Pickover, Clifford A. |
| Pubbl/distr/stampa | Princeton, N.J. : Princeton University Press, c2002 |
| Descrizione fisica | xx, 405 p. : ill. ; 24 cm. |
| Disciplina | 511.64 |
| Soggetto topico |
Magic squares
Mathematical recreations |
| ISBN | 0691070415 |
| Classificazione | LC QA165.P53 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003998479707536 |
|
Pickover, Clifford A.
|
||
| Princeton, N.J. : Princeton University Press, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
