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Elliptic equations in polyhedral domains / Vladimir Maz'ya, Jurgen Rossmann
| Elliptic equations in polyhedral domains / Vladimir Maz'ya, Jurgen Rossmann |
| Autore | Maz'ya, Vladimir G. |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2010 |
| Descrizione fisica | vii, 608 p. : ill. ; 27 cm |
| Disciplina | 515.3533 |
| Altri autori (Persone) | Rossmann, Jurgenauthor |
| Collana | Mathematical surveys and monographs, 0076-5376 ; 162 |
| Soggetto topico |
Differential equations, Elliptic
Polyhedra - Models Boundary value problems |
| ISBN | 9780821849835 |
| Classificazione |
AMS 35J57
AMS 35J58 AMS 35J25 AMS 35J40 AMS 35J08 AMS 35J05 AMS 35Q30 LC QA377.M296 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001179979707536 |
Maz'ya, Vladimir G.
|
||
| Providence, R. I. : American Mathematical Society, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]]
| A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]] |
| Autore | Hilton Peter <1923-2010, > |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xv, 290 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Paper work Geometrical models Polyhedra - Models Mathematics - Study and teaching Geometry - Study and teaching Combinatorial geometry - Study and teaching Mathematical recreations |
| ISBN |
1-107-20850-5
1-139-63665-0 1-282-72342-1 9786612723421 0-511-77579-2 0-511-77655-1 0-511-77397-8 0-511-77290-4 0-511-77700-0 0-511-77503-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| Record Nr. | UNINA-9910459262403321 |
|
Hilton Peter <1923-2010, >
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]]
| A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]] |
| Autore | Hilton Peter <1923-2010, > |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xv, 290 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Paper work Geometrical models Polyhedra - Models Mathematics - Study and teaching Geometry - Study and teaching Combinatorial geometry - Study and teaching Mathematical recreations |
| ISBN |
1-107-20850-5
1-139-63665-0 1-282-72342-1 9786612723421 0-511-77579-2 0-511-77655-1 0-511-77397-8 0-511-77290-4 0-511-77700-0 0-511-77503-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| Record Nr. | UNINA-9910784945103321 |
|
Hilton Peter <1923-2010, >
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]]
| A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]] |
| Autore | Hilton Peter <1923-2010, > |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xv, 290 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Paper work Geometrical models Polyhedra - Models Mathematics - Study and teaching Geometry - Study and teaching Combinatorial geometry - Study and teaching Mathematical recreations |
| ISBN |
1-107-20850-5
1-139-63665-0 1-282-72342-1 9786612723421 0-511-77579-2 0-511-77655-1 0-511-77397-8 0-511-77290-4 0-511-77700-0 0-511-77503-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| Record Nr. | UNINA-9910806985003321 |
|
Hilton Peter <1923-2010, >
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda
| Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda |
| Autore | Haga Kazuo <1934-> |
| Edizione | [[English ed.].] |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 516/.156 |
| Altri autori (Persone) |
FonacierJosefina
IsodaMasami |
| Soggetto topico |
Origami
Polyhedra - Models |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-283-491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introduction; Until the Publication of the English Edition; Acknowledgments; Preface for the English Edition; Contents; 1. A POINT OPENS THE DOOR TO ORIGAMICS; 1.1 Simple Questions About Origami; 1.2 Constructing a Pythagorean Triangle; 1.3 Dividing a Line Segment into Three Equal Parts Using no Tools; 1.4 Extending Toward a Generalization; 2. NEW FOLDS BRING OUT NEW THEOREMS; 2.1 Trisecting a Line Segment Using Haga's Second Theorem Fold; 2.2 The Position of Point F is Interesting; 2.3 Some Findings Related to Haga's Third Theorem Fold
3. EXTENSION OF THE HAGA'S THEOREMS TO SILVER RATIO RECTANGLES3.1 Mathematical Adventure by Folding a Copy Paper; 3.2 Mysteries Revealed from Horizontal Folding of Copy Paper; 3.3 Using Standard Copy Paper with Haga's Third Theorem; 4. X-LINES WITH LOTS OF SURPRISES; 4.1 We Begin with an Arbitrary Point; 4.2 Revelations Concerning the Points of Intersection; 4.3 The Center of the Circumcircle!; 4.4 How Does the Vertical Position of the Point of Intersection Vary?; 4.5 Wonders Still Continue; 4.6 Solving the Riddle of; 4.7 Another Wonder; 5. ""INTRASQUARESî AND ìEXTRASQUARES"" 5.1 Do Not Fold Exactly into Halves5.2 What Kind of Polygons Can You Get?; 5.3 How do You Get a Triangle or a Quadrilateral?; 5.4 Now to Making a Map; 5.5 This is the ìScienti c Methodî; 5.6 Completing the Map; 5.7 We Must Also Make the Map of the Outer Subdivision; 5.8 Let Us Calculate Areas; 6. A PETAL PATTERN FROM HEXAGONS?; 6.1 The Origamics Logo; 6.2 Folding a Piece of Paper by Concentrating the Four Vertices at One Point; 6.3 Remarks on Polygonal Figures of Type n; 6.4 An Approach to the Problem Using Group Study; 6.5 Reducing the Work of Paper Folding; One Eighth of the Square Will Do 6.6 Why Does the Petal Pattern Appear?6.7 What Are the Areas of the Regions?; 7. HEPTAGON REGIONS EXIST?; 7.1 Review of the Folding Procedure; 7.2 A Heptagon Appears!; 7.3 Experimenting with Rectangles with Different Ratios of Sides; 7.4 Try a Rhombus; 8. A WONDER OF ELEVEN STARS; 8.1 Experimenting with Paper Folding; 8.2 Discovering; 8.3 Proof; 8.4 More Revelations Regarding the Intersections of the Extensions of the Creases; 8.5 Proof of the Observation on the Intersection Points of Extended Edge-to-Line Creases; 8.6 The Joy of Discovering and the Excitement of Further Searching 9. WHERE TO GO AND WHOM TO MEET9.1 An Origamics Activity as a Game; 9.2 A Scenario: A Princess and Three Knights?; 9.3 The Rule: One Guest at a Time; 9.4 Cases Where no Interview is Possible; 9.5 Mapping the Neighborhood; 9.6 A Flower Pattern or an Insect Pattern; 9.7 A Different Rule: Group Meetings; 9.8 Are There Areas Where a Particular Male can have Exclusive Meetings with the Female?; 9.9 More Meetings through a ìHidden Doorî; 10. INSPIRATION FROM RECTANGULAR PAPER; 10.1 A Scenario: The Stern King of Origami Land 10.2 Begin with a Simpler Problem: How to Divide the Rectangle Horizontally and Vertically into 3 Equal Parts |
| Record Nr. | UNINA-9910455519603321 |
|
Haga Kazuo <1934->
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda
| Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda |
| Autore | Haga Kazuo <1934-> |
| Edizione | [[English ed.].] |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 516/.156 |
| Altri autori (Persone) |
FonacierJosefina
IsodaMasami |
| Soggetto topico |
Origami
Polyhedra - Models |
| ISBN | 981-283-491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introduction; Until the Publication of the English Edition; Acknowledgments; Preface for the English Edition; Contents; 1. A POINT OPENS THE DOOR TO ORIGAMICS; 1.1 Simple Questions About Origami; 1.2 Constructing a Pythagorean Triangle; 1.3 Dividing a Line Segment into Three Equal Parts Using no Tools; 1.4 Extending Toward a Generalization; 2. NEW FOLDS BRING OUT NEW THEOREMS; 2.1 Trisecting a Line Segment Using Haga's Second Theorem Fold; 2.2 The Position of Point F is Interesting; 2.3 Some Findings Related to Haga's Third Theorem Fold
3. EXTENSION OF THE HAGA'S THEOREMS TO SILVER RATIO RECTANGLES3.1 Mathematical Adventure by Folding a Copy Paper; 3.2 Mysteries Revealed from Horizontal Folding of Copy Paper; 3.3 Using Standard Copy Paper with Haga's Third Theorem; 4. X-LINES WITH LOTS OF SURPRISES; 4.1 We Begin with an Arbitrary Point; 4.2 Revelations Concerning the Points of Intersection; 4.3 The Center of the Circumcircle!; 4.4 How Does the Vertical Position of the Point of Intersection Vary?; 4.5 Wonders Still Continue; 4.6 Solving the Riddle of; 4.7 Another Wonder; 5. ""INTRASQUARESî AND ìEXTRASQUARES"" 5.1 Do Not Fold Exactly into Halves5.2 What Kind of Polygons Can You Get?; 5.3 How do You Get a Triangle or a Quadrilateral?; 5.4 Now to Making a Map; 5.5 This is the ìScienti c Methodî; 5.6 Completing the Map; 5.7 We Must Also Make the Map of the Outer Subdivision; 5.8 Let Us Calculate Areas; 6. A PETAL PATTERN FROM HEXAGONS?; 6.1 The Origamics Logo; 6.2 Folding a Piece of Paper by Concentrating the Four Vertices at One Point; 6.3 Remarks on Polygonal Figures of Type n; 6.4 An Approach to the Problem Using Group Study; 6.5 Reducing the Work of Paper Folding; One Eighth of the Square Will Do 6.6 Why Does the Petal Pattern Appear?6.7 What Are the Areas of the Regions?; 7. HEPTAGON REGIONS EXIST?; 7.1 Review of the Folding Procedure; 7.2 A Heptagon Appears!; 7.3 Experimenting with Rectangles with Different Ratios of Sides; 7.4 Try a Rhombus; 8. A WONDER OF ELEVEN STARS; 8.1 Experimenting with Paper Folding; 8.2 Discovering; 8.3 Proof; 8.4 More Revelations Regarding the Intersections of the Extensions of the Creases; 8.5 Proof of the Observation on the Intersection Points of Extended Edge-to-Line Creases; 8.6 The Joy of Discovering and the Excitement of Further Searching 9. WHERE TO GO AND WHOM TO MEET9.1 An Origamics Activity as a Game; 9.2 A Scenario: A Princess and Three Knights?; 9.3 The Rule: One Guest at a Time; 9.4 Cases Where no Interview is Possible; 9.5 Mapping the Neighborhood; 9.6 A Flower Pattern or an Insect Pattern; 9.7 A Different Rule: Group Meetings; 9.8 Are There Areas Where a Particular Male can have Exclusive Meetings with the Female?; 9.9 More Meetings through a ìHidden Doorî; 10. INSPIRATION FROM RECTANGULAR PAPER; 10.1 A Scenario: The Stern King of Origami Land 10.2 Begin with a Simpler Problem: How to Divide the Rectangle Horizontally and Vertically into 3 Equal Parts |
| Record Nr. | UNINA-9910778080703321 |
|
Haga Kazuo <1934->
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda
| Origamics [[electronic resource] ] : mathematical explorations through paper folding / / Kazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda |
| Autore | Haga Kazuo <1934-> |
| Edizione | [[English ed.].] |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 516/.156 |
| Altri autori (Persone) |
FonacierJosefina
IsodaMasami |
| Soggetto topico |
Origami
Polyhedra - Models |
| ISBN | 981-283-491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introduction; Until the Publication of the English Edition; Acknowledgments; Preface for the English Edition; Contents; 1. A POINT OPENS THE DOOR TO ORIGAMICS; 1.1 Simple Questions About Origami; 1.2 Constructing a Pythagorean Triangle; 1.3 Dividing a Line Segment into Three Equal Parts Using no Tools; 1.4 Extending Toward a Generalization; 2. NEW FOLDS BRING OUT NEW THEOREMS; 2.1 Trisecting a Line Segment Using Haga's Second Theorem Fold; 2.2 The Position of Point F is Interesting; 2.3 Some Findings Related to Haga's Third Theorem Fold
3. EXTENSION OF THE HAGA'S THEOREMS TO SILVER RATIO RECTANGLES3.1 Mathematical Adventure by Folding a Copy Paper; 3.2 Mysteries Revealed from Horizontal Folding of Copy Paper; 3.3 Using Standard Copy Paper with Haga's Third Theorem; 4. X-LINES WITH LOTS OF SURPRISES; 4.1 We Begin with an Arbitrary Point; 4.2 Revelations Concerning the Points of Intersection; 4.3 The Center of the Circumcircle!; 4.4 How Does the Vertical Position of the Point of Intersection Vary?; 4.5 Wonders Still Continue; 4.6 Solving the Riddle of; 4.7 Another Wonder; 5. ""INTRASQUARESî AND ìEXTRASQUARES"" 5.1 Do Not Fold Exactly into Halves5.2 What Kind of Polygons Can You Get?; 5.3 How do You Get a Triangle or a Quadrilateral?; 5.4 Now to Making a Map; 5.5 This is the ìScienti c Methodî; 5.6 Completing the Map; 5.7 We Must Also Make the Map of the Outer Subdivision; 5.8 Let Us Calculate Areas; 6. A PETAL PATTERN FROM HEXAGONS?; 6.1 The Origamics Logo; 6.2 Folding a Piece of Paper by Concentrating the Four Vertices at One Point; 6.3 Remarks on Polygonal Figures of Type n; 6.4 An Approach to the Problem Using Group Study; 6.5 Reducing the Work of Paper Folding; One Eighth of the Square Will Do 6.6 Why Does the Petal Pattern Appear?6.7 What Are the Areas of the Regions?; 7. HEPTAGON REGIONS EXIST?; 7.1 Review of the Folding Procedure; 7.2 A Heptagon Appears!; 7.3 Experimenting with Rectangles with Different Ratios of Sides; 7.4 Try a Rhombus; 8. A WONDER OF ELEVEN STARS; 8.1 Experimenting with Paper Folding; 8.2 Discovering; 8.3 Proof; 8.4 More Revelations Regarding the Intersections of the Extensions of the Creases; 8.5 Proof of the Observation on the Intersection Points of Extended Edge-to-Line Creases; 8.6 The Joy of Discovering and the Excitement of Further Searching 9. WHERE TO GO AND WHOM TO MEET9.1 An Origamics Activity as a Game; 9.2 A Scenario: A Princess and Three Knights?; 9.3 The Rule: One Guest at a Time; 9.4 Cases Where no Interview is Possible; 9.5 Mapping the Neighborhood; 9.6 A Flower Pattern or an Insect Pattern; 9.7 A Different Rule: Group Meetings; 9.8 Are There Areas Where a Particular Male can have Exclusive Meetings with the Female?; 9.9 More Meetings through a ìHidden Doorî; 10. INSPIRATION FROM RECTANGULAR PAPER; 10.1 A Scenario: The Stern King of Origami Land 10.2 Begin with a Simpler Problem: How to Divide the Rectangle Horizontally and Vertically into 3 Equal Parts |
| Record Nr. | UNINA-9910814656803321 |
|
Haga Kazuo <1934->
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
