Fundamentals of Advanced Mathematics 1 Bourles Hardback ISTE Press - Elsevier

Fundamentals of Advanced Mathematics 1Categories, Algebraic Structures, Linear and Homological Algebra\nAuthor(s): Henri Bourles\nFormat: Hardback\nPublisher: ISTE Press Ltd - Elsevier Inc, United Kingdom\nImprint: ISTE Press Ltd - Elsevier Inc\nISBN-13: 9781785481734, 978-1785481734\nSynopsis\nThis 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).