Title: Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra
Publisher: ISTE Press - Elsevier
Publication Date: 2017
Language: English
ISBN 10: 1785481738
ISBN 13: 9781785481734
Binding: Hardcover
Condition: new

About this title

Synopsis

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.

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

About the Author

Henri Bourl�s is Full Professor and Chair at the Conservatoire National des Arts et M�tiers, Paris, France.

"About this title" may belong to another edition of this title.

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