Fundamentals of Advanced Mathematics 1

Categories, Algebraic Structures, Linear and Homological Algebra

Nonfiction, Science & Nature, Mathematics
Cover of the book Fundamentals of Advanced Mathematics 1 by Henri Bourles, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Henri Bourles ISBN: 9780081021125
Publisher: Elsevier Science Publication: July 10, 2017
Imprint: ISTE Press - Elsevier Language: English
Author: Henri Bourles
ISBN: 9780081021125
Publisher: Elsevier Science
Publication: July 10, 2017
Imprint: ISTE Press - Elsevier
Language: English

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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Elsevier Science

Cover of the book Markov Processes by Henri Bourles
Cover of the book Embedded Computing for High Performance by Henri Bourles
Cover of the book Operating System Forensics by Henri Bourles
Cover of the book Nonlinearity and Chaos in Molecular Vibrations by Henri Bourles
Cover of the book Transition Metal Catalyzed Furans Synthesis by Henri Bourles
Cover of the book Mechanical Engineering Systems by Henri Bourles
Cover of the book Nanotechnology Applications in Food by Henri Bourles
Cover of the book Brain-Computer Interfacing for Assistive Robotics by Henri Bourles
Cover of the book Systems Thinking by Henri Bourles
Cover of the book e-Government in Asia:Origins, Politics, Impacts, Geographies by Henri Bourles
Cover of the book Sediments, Diagenesis, and Sedimentary Rocks by Henri Bourles
Cover of the book The CRAF-E4 Family Engagement Model by Henri Bourles
Cover of the book What Risk? by Henri Bourles
Cover of the book Introduction to Ecological Biochemistry by Henri Bourles
Cover of the book Gametogenesis by Henri Bourles
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy