Lecture Notes in Mathematics

A Panorama of Discrepancy Theory

Editors: Chen, William, Srivastav, Anand, Travaglini, Giancarlo (Eds.)

  • Provides an integrated view of discrepancy theory and its applications
  • The various areas of discrepancy theory are bridged with a focus on the state of the art
  • Serves as invitation to researchers and students to explore the different methods and to motivate interdisciplinary research
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eBook $89.00
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  • ISBN 978-3-319-04696-9
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  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-319-04695-2
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About this book

This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and  Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory.

Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.

Table of contents (10 chapters)

  • Upper Bounds in Classical Discrepancy Theory

    Chen, William (et al.)

    Pages 3-69

  • Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections

    Bilyk, Dmitriy

    Pages 71-158

  • Irregularities of Distribution and Average Decay of Fourier Transforms

    Brandolini, Luca (et al.)

    Pages 159-220

  • Superirregularity

    Beck, József

    Pages 221-316

  • Multicolor Discrepancy of Arithmetic Structures

    Hebbinghaus, Nils (et al.)

    Pages 319-424

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-04696-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-319-04695-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Panorama of Discrepancy Theory
Editors
  • William Chen
  • Anand Srivastav
  • Giancarlo Travaglini
Series Title
Lecture Notes in Mathematics
Series Volume
2107
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04696-9
DOI
10.1007/978-3-319-04696-9
Softcover ISBN
978-3-319-04695-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 695
Number of Illustrations and Tables
29 b/w illustrations
Topics