Henri Bourles
eBook, ePUB

Fundamentals of Advanced Mathematics 1 (eBook, ePUB)

Categories, Algebraic Structures, Linear and Homological Algebra

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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 algebrai...

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