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Advanced Courses in Mathematics - CRM Barcelona

Integral Geometry and Valuations

Authors: Alesker, Semyon, Fu, Joseph H.G.

Editors: Gallego, Eduardo, Solanes, Gil (Eds.)

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  • 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
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eBook $24.99
price for USA in USD (gross)
  • ISBN 978-3-0348-0874-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA in USD
  • ISBN 978-3-0348-0873-6
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
About this Textbook

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. ​

Table of contents (2 chapters)

Table of contents (2 chapters)
  • New Structures on Valuations and Applications

    Pages 1-45

    Alesker, Semyon

  • Algebraic Integral Geometry

    Pages 47-112

    Fu, Joseph H. G.

Buy this book

eBook $24.99
price for USA in USD (gross)
  • ISBN 978-3-0348-0874-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA in USD
  • ISBN 978-3-0348-0873-6
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Integral Geometry and Valuations
Authors
Editors
  • Eduardo Gallego
  • Gil Solanes
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0874-3
DOI
10.1007/978-3-0348-0874-3
Softcover ISBN
978-3-0348-0873-6
Series ISSN
2297-0304
Edition Number
1
Number of Pages
VIII, 112
Topics