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portada Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra
Type
Physical Book
Author
Publisher
Language
English
Pages
268
Format
Hardcover
ISBN13
9781785481734
Categories

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

Henri Bourlès (Author) · Iste Press - Elsevier · Hardcover

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

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

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. 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). 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.

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