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  • © 1980

First Order Algebraic Differential Equations

A Differential Algebraic Approach

Part of the book series: Lecture Notes in Mathematics (LNM, volume 804)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VI
  2. Movable singularities

    • Michihiko Matsuda
    Pages 7-10
  3. Fuchs' theorem

    • Michihiko Matsuda
    Pages 11-16
  4. Extensions of the coefficient field

    • Michihiko Matsuda
    Pages 17-21
  5. Briot-Bouquet's theorem

    • Michihiko Matsuda
    Pages 22-26
  6. Clairaut fields

    • Michihiko Matsuda
    Pages 27-32
  7. Poincaré fields

    • Michihiko Matsuda
    Pages 33-41
  8. Poincaré fields generated by the constants

    • Michihiko Matsuda
    Pages 47-51
  9. Poincaré fields of characteristic 0

    • Michihiko Matsuda
    Pages 52-55
  10. Automorphisms of an elliptic field

    • Michihiko Matsuda
    Pages 56-68
  11. Differential automorphisms

    • Michihiko Matsuda
    Pages 69-73
  12. Differential automorphisms of a Poincaré field

    • Michihiko Matsuda
    Pages 74-77
  13. Riccati fields of characteristic 0

    • Michihiko Matsuda
    Pages 78-82
  14. Weierstrass points

    • Michihiko Matsuda
    Pages 83-90
  15. Clairaut fields of characteristic 0

    • Michihiko Matsuda
    Pages 91-94
  16. Movable singularities in case of characteristic 0

    • Michihiko Matsuda
    Pages 95-102
  17. Differential Lefschetz principle

    • Michihiko Matsuda
    Pages 103-109
  18. Back Matter

    Pages 110-111

Keywords

  • Algebraic
  • Algebraische Differentialgleichung
  • Equations
  • algebra
  • differential equation

Bibliographic Information

  • Book Title: First Order Algebraic Differential Equations

  • Book Subtitle: A Differential Algebraic Approach

  • Editors: Michihiko Matsuda

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0091495

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1980

  • Softcover ISBN: 978-3-540-09997-0Published: 01 May 1980

  • eBook ISBN: 978-3-540-39311-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 111

  • Topics: Analysis

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
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