Skip to main content
SpringerLink
Log in
Birkhäuser

Integral Geometry and Valuations

  • Textbook
  • © 2014

Overview

Authors:
  1. Semyon Alesker

    1. Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Joseph H.G. Fu

    1. Department of Mathematics, University of Georgia, Athens, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Editors:
  1. Eduardo Gallego

    1. Universitat Autònoma de Barcelona, Barcelona, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Gil Solanes

    1. Universitat Autònoma de Barcelona, Barcelona, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Offers a modern and self-contained introduction to integral geometry
  • Includes both the classical theory and some very recent progress in integral geometry
  • Presents in a unified and accessible way a collection of results that have revolutionized the theory of convex valuations over the last decade

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 24.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 34.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (2 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. New Structures on Valuations and Applications

    • Semyon Alesker
    Pages 1-45

  3. Algebraic Integral Geometry

    • Joseph H. G. Fu
    Pages 47-112

  4. Back Matter

    Pages 113-113
    Download chapter PDF
Back to top

Keywords

About this book

In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry. This book originated from two courses delivered by the authors at the CRM and provides a self-contained introduction to these topics, covering most of the recent advances. The first part, by Semyon Alesker, provides an introduction to the theory of convex valuations with emphasis on recent developments. In particular, it presents the new structures on the space of valuations discovered after Alesker's irreducibility theorem. The newly developed theory of valuations on manifolds is also described. In the second part, Joseph H. G. Fu gives a modern introduction to integral geometry in the sense of Blaschke and Santaló. The approach is new and based on the notions and tools presented in the first part. This original viewpoint not only enlightens the classical integral geometry of euclidean space, but it also allows the computation of kinematic formulas in other geometries, such as hermitian spaces. The book will appeal to graduate students and interested researchers from related fields including convex, stochastic, and differential geometry. ​

Authors, Editors and Affiliations

  • Universitat Autònoma de Barcelona, Barcelona, Spain

    Eduardo Gallego, Gil Solanes

  • Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

    Semyon Alesker

  • Department of Mathematics, University of Georgia, Athens, USA

    Joseph H.G. Fu

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation