Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra

Fundamentals of Advanced Mathematics 1 Categories, Algebraic Structures, Linear and Homological Algebra

Last edition Elsevier This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations).

Last Edition

ISBN 13: 9781785481734

Imprint: ISTEPELS

Language: English

Authors: Henri Bourles

Pub Date: 07/2017

Pages: 268

Illus: Illustrated

Weight: 560.000 grams

Size: 152 X 229 mm

Product Type: Hardcover

List Price
grn 6970
$ 236,19
to order
  • • The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients.
  • • Part of the New Mathematical Methods, Systems, and Applications series
  • • Presents the notions, results, and proofs necessary to understand and master the various topics
  • • Provides a unified notation, making the task easier for the reader.
  • • Includes several summaries of mathematics for engineers
  • Henri Bourles is Full Professor and Chair at the Conservatoire National des Arts et M?tiers, Paris, France.
  • 1. Categories and Functors
  • 2. Elementary Algebraic Structures
  • 3. Modules and Algebras
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