Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra (New Mathematical Methods, Systems and Applications) - Hardcover

Bourles, Henri

Hardcover

ISBN 10: 1785481738 ISBN 13: 9781785481734

Verlag: ISTE Press Ltd - Elsevier Inc, 2017

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Henri Bourlès is Full Professor and Chair at the Conservatoire National des Arts et Métiers, Paris, France.

Details zur Ausgabe

• Verlag: ISTE Press Ltd - Elsevier Inc
• Erscheinungsdatum: 2017
• ISBN 10: 1785481738
• ISBN 13: 9781785481734
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 268
• Kontakt zum Hersteller: Nicht verfügbar