By Henri Bourles

This summary, made out of 3 volumes, of which this ebook is the 1st, exposes the mathematical components which make up the principles of a few modern clinical tools: glossy conception on platforms, physics and engineering.

This first quantity focuses totally on algebraic questions: different types and functors, teams, jewelry, modules and algebra. Notions are brought in a basic framework after which studied within the context of commutative and homological algebra; their software in algebraic topology and geometry is for this reason constructed. those notions play a vital function in algebraic research (analytico-algebraic platforms concept of normal or partial linear differential equations).

The ebook concludes with a research of modules over the most kinds of jewelry, the rational canonical type of matrices, the (commutative) thought of elemental divisors and their software in platforms of linear differential equations with consistent coefficients.

  • Part of the New Mathematical equipment, structures, and functions series
  • Presents the notions, effects, and proofs essential to comprehend and grasp some of the topics
  • Provides a unified notation, making the duty more uncomplicated for the reader.
  • Includes a number of summaries of arithmetic for engineers

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