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Differential Algebra potx

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Differential Algebra potx

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American Mathematical Society Colloquium Publications Volume 33 American Mathematical Society Providence, Rhode Island ΑΓΕΩΜΕΑΓΕΩΜΕ ΕΙΣΙΤΩΕΙΣΙΤΩ ΤΡΗΤΟΣ ΜΗΤΡΗΤΟΣ ΜΗ F O U N D E D 1 8 8 8 A M E R I C A N M A T H E M A T I C A L S O C I E T Y Differential Algebra Joseph Fels Ritt

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Mục lục

  • Chapter I. Differential polynoimals and their ideals

  • Chapter III. Structure of differential polynomials

  • Chapter IV. Systems of algebraic equations

  • Chapter VII. Intersections of algebraic differential manifolds

  • Chapter VIII. Riquier's existence theorem for orthonomic systems

  • Chapter I. Differential polynomials and their ideals

    • Differential fields

    • Ideals of differential polynomials

    • Strong and weak bases

    • Decomposition of perfect ideals

    • The ideal [y^p]

    • Chapter III. Structure of differential polynomials

    • Chapter IV. Systems of algebraic equations

    • Chapter VII. Intersections of algebraic differential manifolds

    • Chapter VIII. Riquier's existence theorem for orthonomic systems

    • Chapter I. Differential polynomials and their ideals

    • Chapter II. Algebraic differential manifolds

      • Manifolds and their decomposition

      • Prime ideals and regular zeros

      • Generic zeros of a prime ideal

      • The theorem of zeros

      • Singular zeros and solutions

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