Geometry of Cuts and Metrics
(Sprache: Englisch)
Cuts and metrics are well-known objects that arise-- independently, but with many deep and fascinating connections--in diverse fields. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner.
Leider schon ausverkauft
versandkostenfrei
Buch
186.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Geometry of Cuts and Metrics “
Cuts and metrics are well-known objects that arise-- independently, but with many deep and fascinating connections--in diverse fields. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner.
Klappentext zu „Geometry of Cuts and Metrics “
Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc.
This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students.
From the Reviews:
"This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.
Inhaltsverzeichnis zu „Geometry of Cuts and Metrics “
- Measure Aspects: l1-Embeddability and Probability- Hypermetric Spaces: an Approach via Geommetry of Numbers
- Isometric Embeddings of Graphs
- Hypercube Embeddings and Designs
- Facets of the Cut Cone and Polytope
- Bibliography
- Subject Index
Bibliographische Angaben
- Autoren: Michel M. Deza , Monique Laurent
- 1997, 1997, 588 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 354061611X
- ISBN-13: 9783540616115
- Erscheinungsdatum: 20.05.1997
Sprache:
Englisch
Rezension zu „Geometry of Cuts and Metrics “
From the reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields as it gathers methods and results from polytope theory, geometry of numbers, probability theory, design and graph theory around two objects, cuts and metrics. [... ] The book is very nicely written [... ] The book is also very well structured. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [... ] In my opinion, the book is a beautiful piece of work. The longer one works with it, the more beautiful it becomes." Robert Weismantel, Optima 56 (1997)"... In short, this is a very interesting book which is nice to have." Alexander I. Barvinok, MR 1460488 (98g:52001)"... This is a large and fascinating book. As befits a book which contains material relevant to so many areas of mathematics (and related disciplines such as statistics, physics, computing science, and economics), it is self-contained and written in a readable style. Moreover, the index, bibliography, and table of contents are all that they should be in such a work; it is easy to find as much or as little introductory material as needed." R.Dawson, Zentralblatt MATH Database 0885.52001"This is a large and fascinating book. As befits a book which contains material relevant to so many areas of mathematics (and related disciplines such as statistics, physics, computing science, and economics), it is self-contained and written in a readable style. Moreover, the index, bibliography, and table of contents are all that they should be in such a work; it is easy to find as much or as little introductory material as needed." (R. Dawson, Zentralblatt MATH, 2001)
Kommentar zu "Geometry of Cuts and Metrics"
Schreiben Sie einen Kommentar zu "Geometry of Cuts and Metrics".
Kommentar verfassen