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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui