Detailseite wird geladen...
How many objects of a given shape and size can be packed into a large box of fixed volume? Can one plant n trees in an orchard, not all along the same line, so that every line determined by two trees will pass through a third? These questions, raised by Hilbert and Sylvester roughly one hundred years ago, have generated a lot of interest among professional and amateur mathematicians and scientists. They have led to the birth of a new mathematical discipline with close ties to classical geometry and number theory, and with many applications in coding theory, potential theory, computational geometry, computer graphics, robotics , etc. Combinatorial Geometry offers a self-contained introduction to this rapidly developing field, where combinatorial and probabilistic (counting) methods play a crucial role. This book has grown out of the material of both undergraduate and graduate courses in mathematics and computer science given by János Pach at the Courant Institute of Mathematical Sciences, New York University. Divided into two parts Arrangements of Convex Sets and Arrangements of Points and Linesit presents and explains some of the most important and ingenious results in combinatorial geometry, including: Dowkers theorems Fárys theorem Fejes Tóth stheorems Methods of Blichtfeldt and Rogers MinkowskiHlawka theorem Koebes representation theorem LiptonTarjan separator theorem Theorems of Erd???s, Turán, and Ramsey Szemerédis regularity lemma SzemerédiTrotter theorems Methods of Clarkson, Edelsbrunner, Guibas, Sharir, and Welzl Counterexample to Borsuks conjecture Mathematics Mathematics eBook, Wiley
Frais d'envoi EUR 0.00
A complete, self-contained introduction to a powerful and resurging mathematical discipline. Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Toth, Rogers, and Erds. Nearly half the results presented in this book were discovered over the past twenty. A complete, self-contained introduction to a powerful and resurging mathematical discipline. Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Toth, Rogers, and Erds. Nearly half the results presented in this book were discovered over the past twenty years, and most have never before appeared in any monograph. Combinatorial Geometry will be of particular interest to mathematicians, computer scientists, physicists, and materials scientists interested in computational geometry, robotics, scene analysis, and computer-aided design. It is also a superb textbook, complete with end-of-chapter problems and hints to their solutions that help students clarify their understanding and test their mastery of the material. Topics covered include: Geometric number theory Packing and covering with congruent convex disks Extremal graph and hypergraph theory Distribution of distances among finitely many points Epsilon-nets and Vapnik-Chervonenkis dimension Geometric graph theory Geometric discrepancy theory And much more Books, Science and Geography~~Mathematics~~Number Theory, Combinatorial Geometry~~Book~~9780471588900~~Janos Pach, Pankaj K. Agarwal, , , , , , , , , ,, [PU: Wiley]
MPN: , SKU 5993472 Frais d'envoizzgl. Versandkosten, Livraison non-comprise
[EAN: 9780471588900], Neubuch, [PU: Wiley-Blackwell], Mathematics|General, Mathematics|Geometry|General, Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time.
Media Mall, Fyshwick, ACT, Australia  [Rating: 5 (von 5)]
NEW BOOK Frais d'envoi EUR 16.00
1995, ISBN: 0471588903
[EAN: 9780471588900], Neubuch, [PU: Wiley?Blackwell], Mathematics|Geometry|General, New Book. Shipped from UK in 4 to 14 days. Established seller since 2000.
Books2Anywhere, Fairford, GLOS, United Kingdom  [Rating: 5 (von 5)]
NEW BOOK Frais d'envoi EUR 12.13
1995, ISBN: 9780471588900
Wiley-Blackwell, 1995. Hardcover. New. SKU: MM-60139468; EAN: 9780471588900, Wiley-Blackwell, 1995
Frais d'envoiVersandkostenfrei (EUR 0.00)
Informations détaillées sur le livre - Combinatorial Geometry
EAN (ISBN-13): 9780471588900
ISBN (ISBN-10): 0471588903
Date de parution: 1995
Editeur: John Wiley & Sons
Poids: 0,712 kg
Livre dans la base de données depuis 16.12.2007 22:18:56
Livre trouvé récemment le 31.07.2016 07:02:45
ISBN - Autres types d'écriture:
< pour archiver...
- "Designing OS/2 Applications", de "Reich, David E." (047158889X)
- "Advanced Accounting", de "Haried, Andrew;Imdieke, Leroy F.;Smith, Ralph E.;Smith, Ralph Eugene" (0471588881)
- "Home Mechanix Guide to Security: Protecting Your Home, Car, & Family", de "Bill Phillips" (0471588938)
- "Discovering Microsoft Works 2.0 for the IBM Personal Computer", de "Babette Kronstadt, David Sachs" (0471588946)
- "Case Studies in Biometry (Wiley Series in Probability and Statistics)", de "Nicholas Lange, Louise Ryan, Lynne Billard, David Brillinger, Loveday Conquest, Joel Greenhouse" (0471588857)
- "Discovering Microsoft WORKS 2.0", de "Babette Kronstadt, David Sachs" (0471588954)