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First Order Algebraic Differential Equations

A Differential Algebraic Approach

  • Book
  • © 1980

Overview

Editors:
  1. Michihiko Matsuda
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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
    Download chapter PDF

  2. Differential algebraic function field of one variable

    • Michihiko Matsuda
    Pages 1-6

  3. Movable singularities

    • Michihiko Matsuda
    Pages 7-10

  4. Fuchs' theorem

    • Michihiko Matsuda
    Pages 11-16

  5. Extensions of the coefficient field

    • Michihiko Matsuda
    Pages 17-21

  6. Briot-Bouquet's theorem

    • Michihiko Matsuda
    Pages 22-26

  7. Clairaut fields

    • Michihiko Matsuda
    Pages 27-32

  8. Poincaré fields

    • Michihiko Matsuda
    Pages 33-41

  9. Analogs of addition formulae for elliptic functions

    • Michihiko Matsuda
    Pages 42-46

  10. Poincaré fields generated by the constants

    • Michihiko Matsuda
    Pages 47-51

  11. Poincaré fields of characteristic 0

    • Michihiko Matsuda
    Pages 52-55

  12. Automorphisms of an elliptic field

    • Michihiko Matsuda
    Pages 56-68

  13. Differential automorphisms

    • Michihiko Matsuda
    Pages 69-73

  14. Differential automorphisms of a Poincaré field

    • Michihiko Matsuda
    Pages 74-77

  15. Riccati fields of characteristic 0

    • Michihiko Matsuda
    Pages 78-82

  16. Weierstrass points

    • Michihiko Matsuda
    Pages 83-90

  17. Clairaut fields of characteristic 0

    • Michihiko Matsuda
    Pages 91-94

  18. Movable singularities in case of characteristic 0

    • Michihiko Matsuda
    Pages 95-102

  19. Differential Lefschetz principle

    • Michihiko Matsuda
    Pages 103-109

  20. Back Matter

    Pages 110-111
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Keywords

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

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