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Birkhäuser

Martin Kneser Collected Works

  • Book
  • © 2021

Overview

Editors:
  1. Ulf Rehmann

    1. Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

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  2. Yuri Tschinkel

    1. Courant Inst of Math Sciences, New York University, New York, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Enthält die einflussreichsten Artikel von Martin Kneser
  • Einschließlich zweier Rezensionen von Knesers Arbeiten von führenden Experten
  • Präsentiert eine unveröffentlichte Arbeite zum ersten Mal

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Life and Main Research Areas of Martin Kneser

    • Ulrich Stuhler
    Pages 1-24

  3. Review of Kneser’s Work on Algebraic Groups and the Hasse Principle and Subsequent Developments

    • Raman Parimala
    Pages 25-30

  4. Martin Kneser’s Work on Quadratic Forms and Algebraic Groups

    • Rudolf Scharlau
    Pages 31-50

  5. Martin Kneser’s Publications

    • Martin Kneser
    Pages 51-722

  6. Miscellanea

    • Martin Kneser
    Pages 723-728

  7. Problems and Solutions

    • Martin Kneser
    Pages 729-742

  8. “Aufgabe 360: The Kneser Conjecture”

    • Günter M. Ziegler
    Pages 743-749

  9. Correction to: Martin Kneser Collected Works

    • Ulf Rehmann, Yuri Tschinkel
    Pages C1-C1
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Keywords

About this book

This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language – mostly German –, including one yet unpublished. Moreover, also included is an article by Raman Parimala, discussing Kneser’s work concerning algebraic groups and the Hasse principle, which has been written especially for this volume, as well as an article by Rudolf Scharlau about Kneser’s work on quadratic forms, published elsewhere before. Another commentary article, written by Günter M. Ziegler especially for this volume, describes the astounding influence on the field of combinatorics of what was published as “Aufgabe 360” and its subsequent solution in 1955 resp. 1957 in the “Jahresbericht der Deutschen Mathematiker-Vereinigung”.

However, as the titles of the articles show, Kneser’s mathematical interests were much broader, which is beautifully discussed in an obituary by Ulrich Stuhler, included as well in this volume.


Reviews

“The present volume of collected works is a timely and fitting testimony to Kneser’s significant achievements and the lasting influence of his work. The volume is beautifully and meticulously edited.” (Detlev Hoffmann, zbMATH 1504.11004, 2023)

Editors and Affiliations

  • Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Ulf Rehmann

  • Courant Inst of Math Sciences, New York University, New York, USA

    Yuri Tschinkel

Bibliographic Information

  • Book Title: Martin Kneser Collected Works

  • Editors: Ulf Rehmann, Yuri Tschinkel

  • Series Title: Contemporary Mathematicians

  • DOI: https://doi.org/10.1007/978-3-030-81625-4

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-81624-7Published: 16 November 2021

  • eBook ISBN: 978-3-030-81625-4Published: 15 November 2021

  • Series ISSN: 0884-7037

  • Edition Number: 1

  • Number of Pages: X, 750

  • Number of Illustrations: 34 b/w illustrations

  • Topics: Number Theory, History of Mathematical Sciences

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