Articoli correlati a An Introduction to Convex Polytopes (Graduate Texts...
Sinossi
The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. All the background information on convex sets and convex polytopes which is m~eded to under stand and appreciate these three theorems is developed in detail. This background material also forms a basis for studying other aspects of polytope theory. The Dehn-Sommerville Relations are classical, whereas the proofs of the Upper Bound Theorem and the Lower Bound Theorem are of more recent date: they were found in the early 1970's by P. McMullen and D. Barnette, respectively. A famous conjecture of P. McMullen on the charac terization off-vectors of simplicial or simple polytopes dates from the same period; the book ends with a brief discussion of this conjecture and some of its relations to the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. However, the recent proofs that McMullen's conditions are both sufficient (L. J. Billera and C. W. Lee, 1980) and necessary (R. P. Stanley, 1980) go beyond the scope of the book. Prerequisites for reading the book are modest: standard linear algebra and elementary point set topology in [R1d will suffice.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
1 Convex Sets.- �A7;1. The Affine Structure of ?d.- �A7;2. Convex Sets.- �A7;3. The Relative Interior of a Convex Set.- �A7;4. Supporting Hyperplanes and Halfspaces.- �A7;5. The Facial Structure of a Closed Convex Set.- �A7;6. Polarity.- 2 Convex Polytopes.- �A7;7. Polytopes.- �A7;8. Polyhedral Sets.- �A7;9. Polarity of Polytopes and Polyhedral Sets.- �A7;10. Equivalence and Duality of Polytopes.- �A7;11. Vertex-Figures.- �A7;12. Simple and Simplicial Polytopes.- �A7;13. Cyclic Polytopes.- �A7;14. Neighbourly Polytopes.- �A7;15. The Graph of a Polytope.- 3 Combinatorial Theory of Convex Polytopes.- �A7;16. Eulerߣs Relation.- �A7;17. The Dehn-Sommerville Relations.- �A7;18. The Upper Bound Theorem.- �A7;19. The Lower Bound Theorem.- �A7;20. McMullenߣs Conditions.- Appendix 1 Lattices.- Appendix 2 Graphs.- Appendix 3 Combinatorial Identities.- Bibliographical Comments.- List of Symbols.
Product Description
Book by Brondsted Arne
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per An Introduction to Convex Polytopes (Graduate Texts...
Foto dell'editore
An Introduction to Convex Polytopes (eng)
Print on DemandDa: Brook Bookstore On Demand, Napoli, NA, Italia
Valutazione del venditore 5 su 5 stelle
Condizione: new. Questo è un articolo print on demand. Codice articolo AGBTGZNXM1
Compra nuovo
EUR 46,22
Spedizione EUR 5,50
Spedito da Italia a U.S.A.
Spedito da Italia a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
An Introduction to Convex Polytopes
Print on DemandDa: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 5 su 5 stelle
PF. Condizione: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 6-7 days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice articolo 6666-IUK-9781461270232
Compra nuovo
EUR 58,57
Spedizione EUR 5,96
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 20 disponibili
Immagini fornite dal venditore
An Introduction to Convex Polytopes
Editore:
Springer-Verlag New York Inc., US, 2012
ISBN 10: 1461270235
ISBN 13: 9781461270232
Nuovo
Paperback
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. All the background information on convex sets and convex polytopes which is m eded to under stand and appreciate these three theorems is developed in detail. This background material also forms a basis for studying other aspects of polytope theory. The Dehn-Sommerville Relations are classical, whereas the proofs of the Upper Bound Theorem and the Lower Bound Theorem are of more recent date: they were found in the early 1970's by P. McMullen and D. Barnette, respectively. A famous conjecture of P. McMullen on the charac terization off-vectors of simplicial or simple polytopes dates from the same period; the book ends with a brief discussion of this conjecture and some of its relations to the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. However, the recent proofs that McMullen's conditions are both sufficient (L. J. Billera and C. W. Lee, 1980) and necessary (R. P. Stanley, 1980) go beyond the scope of the book. Prerequisites for reading the book are modest: standard linear algebra and elementary point set topology in [R1d will suffice. Softcover reprint of the original 1st ed. 1983. Codice articolo LU-9781461270232
Compra nuovo
EUR 66,64
Spedizione gratuita
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
An Introduction to Convex Polytopes
Editore:
Springer New York Sep 2012, 2012
ISBN 10: 1461270235
ISBN 13: 9781461270232
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. All the background information on convex sets and convex polytopes which is m~eded to under stand and appreciate these three theorems is developed in detail. This background material also forms a basis for studying other aspects of polytope theory. The Dehn-Sommerville Relations are classical, whereas the proofs of the Upper Bound Theorem and the Lower Bound Theorem are of more recent date: they were found in the early 1970's by P. McMullen and D. Barnette, respectively. A famous conjecture of P. McMullen on the charac terization off-vectors of simplicial or simple polytopes dates from the same period; the book ends with a brief discussion of this conjecture and some of its relations to the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. However, the recent proofs that McMullen's conditions are both sufficient (L. J. Billera and C. W. Lee, 1980) and necessary (R. P. Stanley, 1980) go beyond the scope of the book. Prerequisites for reading the book are modest: standard linear algebra and elementary point set topology in [R1d will suffice. 176 pp. Englisch. Codice articolo 9781461270232
Compra nuovo
EUR 53,49
Spedizione EUR 23,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili
Foto dell'editore
An Introduction to Convex Polytopes (Graduate Texts in Mathematics, 90)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In English. Codice articolo ria9781461270232_new
Compra nuovo
EUR 68,83
Spedizione EUR 11,19
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
An Introduction to Convex Polytopes
Da: Books Puddle, Woodside, NY, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. pp. 178. Codice articolo 2658576240
Compra nuovo
EUR 83,80
Spedizione EUR 3,57
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 4 disponibili
Foto dell'editore
An Introduction to Convex Polytopes
Print on DemandDa: Majestic Books, Hounslow, Regno Unito
Valutazione del venditore 4 su 5 stelle
Condizione: New. Print on Demand pp. 178 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 51016367
Compra nuovo
EUR 84,91
Spedizione EUR 7,76
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 4 disponibili
Foto dell'editore
An Introduction to Convex Polytopes
Print on DemandDa: Biblios, Frankfurt am main, HESSE, Germania
Valutazione del venditore 4 su 5 stelle
Condizione: New. PRINT ON DEMAND pp. 178. Codice articolo 1858576250
Compra nuovo
EUR 85,18
Spedizione EUR 9,95
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 4 disponibili
Immagini fornite dal venditore
An Introduction to Convex Polytopes
Print on DemandDa: moluna, Greven, Germania
Valutazione del venditore 5 su 5 stelle
Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theore. Codice articolo 4189657
Compra nuovo
EUR 47,23
Spedizione EUR 48,99
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
An Introduction to Convex Polytopes
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. All the background information on convex sets and convex polytopes which is m~eded to under stand and appreciate these three theorems is developed in detail. This background material also forms a basis for studying other aspects of polytope theory. The Dehn-Sommerville Relations are classical, whereas the proofs of the Upper Bound Theorem and the Lower Bound Theorem are of more recent date: they were found in the early 1970's by P. McMullen and D. Barnette, respectively. A famous conjecture of P. McMullen on the charac terization off-vectors of simplicial or simple polytopes dates from the same period; the book ends with a brief discussion of this conjecture and some of its relations to the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem. However, the recent proofs that McMullen's conditions are both sufficient (L. J. Billera and C. W. Lee, 1980) and necessary (R. P. Stanley, 1980) go beyond the scope of the book. Prerequisites for reading the book are modest: standard linear algebra and elementary point set topology in [R1d will suffice. Codice articolo 9781461270232
Compra nuovo
EUR 64,87
Spedizione EUR 35,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 1 disponibili