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The VNR Concise Encyclopedia of Mathematics

  • Editors
  • W. Gellert
  • S. Gottwald
  • M. Hellwich
  • H. Kästner
  • H. Küstner

Table of contents

  1. Front Matter
    Pages 1-10
  2. Introduction

    1. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 11-16
  3. Elementary Mathematics

    1. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 17-47
    2. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 47-69
    3. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 69-80
    4. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 80-106
    5. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 107-139
    6. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 139-145
    7. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 146-183
    8. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 184-203
    9. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 203-220
    10. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 220-240
    11. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 241-261
    12. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 261-282
    13. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 282-319
  4. Steps towards higher mathematics

    1. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 320-332
    2. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 332-342
    3. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 343-356
    4. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 356-380
    5. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 381-406
    6. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 406-443
    7. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 443-479
    8. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 479-500
    9. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 500-517
    10. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 517-529
    11. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 530-547
    12. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 547-561
    13. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 561-575
    14. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 575-607
    15. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 607-630
    16. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 630-653
    17. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 653-668
  5. Brief reports on selected topics

    1. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 669-675
    2. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 675-677
    3. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 678-680
    4. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 680-686
    5. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 687-687
    6. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 688-692
    7. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 693-698
    8. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 698-702
    9. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 703-705
    10. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 705-711
    11. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 711-717
    12. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 717-722
    13. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 723-730
    14. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 731-732
    15. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 732-745
    16. W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner
      Pages 745-755
  6. Back Matter
    Pages 756-778

About this book

Introduction

It is commonplace that in our time sc:iem:e and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics. for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over· emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.

Keywords

Mathematica approximation calculus complex analysis differential equation equation geometry integral calculus mathematics numerical analysis optimization probability theory set theory statistics theorem

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-6982-0
  • Copyright Information Springer Science+Business Media B.V. 1975
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-011-6984-4
  • Online ISBN 978-94-011-6982-0
  • Buy this book on publisher's site