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  • © 2007

Algebraic Combinatorics

Lectures at a Summer School in Nordfjordeid, Norway, June 2003

  • Peter Orlik is THE expert on arrangements, and Volkmar Welker an excellent mathematician of the younger generation
  • The Nordfjordeid summer school consistently offer high quality

Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
  2. Lectures on Arrangements: Combinatorics and Topology

    1. Front Matter

      Pages I-VIII
    2. Introduction

      • Peter Orlik, Volkmar Welker
      Pages 5-11
    3. Algebraic Combinatorics

      • Peter Orlik, Volkmar Welker
      Pages 13-59
    4. Applications

      • Peter Orlik, Volkmar Welker
      Pages 61-79
  3. Discrete Morse Theory and Free Resolutions

    1. Front Matter

      Pages I-VIII
    2. Introduction

      • Peter Orlik, Volkmar Welker
      Pages 83-105
    3. Basic De.nitions and Examples

      • Peter Orlik, Volkmar Welker
      Pages 107-124
    4. Cellular Resolution

      • Peter Orlik, Volkmar Welker
      Pages 125-144
    5. Discrete Morse Theory

      • Peter Orlik, Volkmar Welker
      Pages 145-172
  4. Back Matter

    Pages 173-181

Reviews

From the reviews:

"This is really two books in one. … It could be used by a weekly reading group by faculty and the occasional very advanced, talented and motivated student. … it could be possibly be used for a special topics graduate course, for students who already had a graduate class in topology. This is because of its numerous exercises and its reader-friendly style." (Miklós Bóna, MathDL, May, 2007)

Authors, Editors and Affiliations

  • Department of Mathematics, University of Bergen, Bergen, Norway

    Gunnar Fløystad

  • Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin, USA

    Peter Orlik

  • Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Volkmar Welker

About the editor

Orlik has been working in the area of arrangements for thirty years. Lectures on this subject include CBMS Lectures in Flagstaff, AZ; Swiss Seminar Lectures in Bern, Switzerland; and Summer School Lectures in Nordfjordeid, Norway, in addition to many invited lectures, including an AMS hour talk.

Welker works in algebraic and geometric combinatorics, discrete geometry and combinatorial commutative algebra. Lectures on the topic of the book include Summer School on Topological Combinatorics, Vienna and Summer School Lectures in Nordfjordeid, in addition to several invited talks.

Bibliographic Information

  • Book Title: Algebraic Combinatorics

  • Book Subtitle: Lectures at a Summer School in Nordfjordeid, Norway, June 2003

  • Authors: Peter Orlik, Volkmar Welker

  • Editors: Gunnar Fløystad

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-540-68376-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Softcover ISBN: 978-3-540-68375-9Published: 02 March 2007

  • eBook ISBN: 978-3-540-68376-6Published: 23 July 2007

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: VIII, 182

  • Number of Illustrations: 23 b/w illustrations

  • Topics: Combinatorics, Algebra, Geometry

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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