Convex bodies are at once simple and amazingly rich in structure. While the classical results go back many decades, during the past ten years the integral geometry of convex bodies has undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability theory, harmonic analysis and the geometry of finite-dimensional normed spaces. This collection arises from an MSRI program held in the Spring of 1996, involving researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. It is representative of the best research in a very active field that brings together ideas from several major strands in mathematics.
| |||||||||||||||
Book Description
Editorial Reviews
Review
Review of the hardback: '... a useful source of inspiration for mathematicians working in convex geometry and functional analysis.' European Mathematical Society
Book Description
Convex bodies are at once simple and amazingly rich in their structure. While the classical results go back many decades, during the last ten years the integral geometry of convex bodies has undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability theory, harmonic analysis and the geometry of finite-dimensional normed spaces.This collection arises from an MSRI program held in the Spring of 1996, involving researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. It is representative of the best research in a very active field that brings together ideas from several major strands in mathematics.
Product Details
Would you like to update product info or give feedback on images?
|
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
Let K = (K1, K2,..., Ks) be an s-tuple of compact convex subsets of Rn. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
asymptotic subsets, tail subspaces, polynomial valuation, centered convex body, polytope approximations, convex restriction, convolution bodies, asymptotic sets, normalised images, shrinking basis, block subspace, asymptotic spaces, asymptotic versions, isotropic position, admission set, normalised vector, infinite dimensional subspaces, singular operators, convex geometry, convex bodies, metric entropy, euclidean ball, threshold interval, operator ideal, regular simplex Key Phrases - Capitalized Phrases (CAPs): (learn more)
Publications Volume, Lecture Notes, Cambridge University Press, Convex Geometric Analysis, New York, Operator Theory, London Math, Acta Math, Duke Math, Israel Seminar, Mathematics Subject Classification, Monte Carlo, Studia Math, Academic Press, Annals of Math, Approximation Theory New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Let K = (K1, K2,..., Ks) be an s-tuple of compact convex subsets of Rn. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
asymptotic subsets, tail subspaces, polynomial valuation, centered convex body, polytope approximations, convex restriction, convolution bodies, asymptotic sets, normalised images, shrinking basis, block subspace, asymptotic spaces, asymptotic versions, isotropic position, admission set, normalised vector, infinite dimensional subspaces, singular operators, convex geometry, convex bodies, metric entropy, euclidean ball, threshold interval, operator ideal, regular simplex Key Phrases - Capitalized Phrases (CAPs): (learn more)
Publications Volume, Lecture Notes, Cambridge University Press, Convex Geometric Analysis, New York, Operator Theory, London Math, Acta Math, Duke Math, Israel Seminar, Mathematics Subject Classification, Monte Carlo, Studia Math, Academic Press, Annals of Math, Approximation Theory New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 31
books:
See all 31 books this book cites
18
books
cite this book:
See all 18 books citing this book
- Flavors of Geometry (Mathematical Sciences Research Institute Publications) by Silvio Levy in Front Matter (1), and Front Matter (2)
- The Volume of Convex Bodies and Banach Space Geometry (Cambridge Tracts in Mathematics) by Gilles Pisier on page 27, and page 121
- Global Analysis on Foliated Spaces (Mathematical Sciences Research Institute Publications) by Calvin C. Moore in Front Matter
- Current Topics in Complex Algebraic Geometry (Mathematical Sciences Research Institute Publications) by Herbert Clemens in Front Matter
- Dynamic Asset Pricing Theory, Third Edition. by Darrell Duffie on page 51
See all 31 books this book cites
- Geometric Tomography (Encyclopedia of Mathematics and its Applications) by Richard J. Gardner in Back Matter (1), Back Matter (2), and Back Matter (3)
- Contemporary Issues in Mathematics Education (Mathematical Sciences Research Institute Publications) by Estela A. Gavosto in Front Matter
- Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications) by Christian U. Jensen in Front Matter
- Geometric Aspects of Functional Analysis: Israel Seminar 2002-2003 (Lecture Notes in Mathematics) by Vitali D. Milman on page 177
- Geometric Aspects of Functional Analysis: Israel Seminar 1996-2000 (Lecture Notes in Mathematics) by V.D. Milman in Back Matter
See all 18 books citing this book
Books on Related Topics
(learn more)
|
Suggested Tags from Similar Products(What's this?)Be the first one to add a relevant tag (keyword that's strongly related to this product).
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
So You'd Like to...
|
|
