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单词 Galois theory
释义

Definition of Galois theory in English:

Galois theory

noun
Mathematics
  • A method of applying group theory to the solution of algebraic equations.

    〔数〕伽罗瓦理论

    Example sentencesExamples
    • This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory.
    • His interests in research relate to finite geometries and the group theory related to them, to Cremona transformations related to the Galois theory of equations.
    • Nonetheless, he does intend to convey to all of his readers some of the ideas of Abel's proof and Galois theory, and he has thus set himself a much more formidable expository task than he did.
    • He began to study the Galois theory of equations and from there he was led to study composition series of groups.
    • Combining a concrete perspective with an exploration-based approach, this analysis develops Galois theory at an entirely undergraduate level.

Definition of Galois theory in US English:

Galois theory

noun
Mathematics
  • A method of applying group theory to the solution of algebraic equations.

    〔数〕伽罗瓦理论

    Example sentencesExamples
    • He began to study the Galois theory of equations and from there he was led to study composition series of groups.
    • Combining a concrete perspective with an exploration-based approach, this analysis develops Galois theory at an entirely undergraduate level.
    • This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory.
    • Nonetheless, he does intend to convey to all of his readers some of the ideas of Abel's proof and Galois theory, and he has thus set himself a much more formidable expository task than he did.
    • His interests in research relate to finite geometries and the group theory related to them, to Cremona transformations related to the Galois theory of equations.
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更新时间:2024/12/27 16:59:52