Fundamentals of Advanced Mathematics 1

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

Produk Detail:

  • Author : Henri Bourles
  • Publisher : Elsevier
  • Pages : 268 pages
  • ISBN : 0081021127
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release : 10 July 2017
GET THIS BOOKFundamentals of Advanced Mathematics 1

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.

Fundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics V3
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release : 11 October 2019
GET THIS BOOKFundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections,

Advanced Calculus: Fundamentals of Mathematics

Advanced Calculus: Fundamentals of Mathematics
  • Author : Carlos Polanco
  • Publisher : Bentham Science Publishers
  • Release : 31 July 2019
GET THIS BOOKAdvanced Calculus: Fundamentals of Mathematics

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find

Fundamentals of Advanced Mathematics

Fundamentals of Advanced Mathematics
  • Author : Alberto D. Yazon
  • Publisher : Arcler Press
  • Release : 01 November 2019
GET THIS BOOKFundamentals of Advanced Mathematics

Fundamentals of Advanced Mathematics explains the basic fundamentals of mathematics by introducing it to the readers. It further goes on to explain algebra and the basic math related to it and elaborate on the number theory and number system. Also discussed in the book are the relations and functions, the use of proportional logic, the graph theory and the mathematical induction and recursion and the various theorems and logics related to it. The book also delves upon the cardinal system.

Fundamentals of Advanced Mathematics 2

Fundamentals of Advanced Mathematics 2
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release : 03 February 2018
GET THIS BOOKFundamentals of Advanced Mathematics 2

The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with

Fundamentals of Scientific Mathematics

Fundamentals of Scientific Mathematics
  • Author : George E. Owen
  • Publisher : Courier Corporation
  • Release : 03 December 2012
GET THIS BOOKFundamentals of Scientific Mathematics

Offering undergraduates a solid mathematical background (and functioning equally well for independent study), this rewarding, beautifully illustrated text covers geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. 1961 edition.

Fundamentals of Linear Algebra

Fundamentals of Linear Algebra
  • Author : J.S. Chahal
  • Publisher : CRC Press
  • Release : 07 December 2018
GET THIS BOOKFundamentals of Linear Algebra

Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in

Fundamentals of Modern Mathematics

Fundamentals of Modern Mathematics
  • Author : David B. MacNeil
  • Publisher : Courier Corporation
  • Release : 19 June 2013
GET THIS BOOKFundamentals of Modern Mathematics

"Students and general readers wishing to know a little more about the practical side of mathematics will find this volume a highly informative resource. Worked examples and diagrams illustrate important concepts in accessible explanations of set theory, numbers and groups, matrices and determinants, probability and statistics, game theory, and many other topics. 1963 edition"--

Fundamentals of Numerical Mathematics for Physicists and Engineers

Fundamentals of Numerical Mathematics for Physicists and Engineers
  • Author : Alvaro Meseguer
  • Publisher : John Wiley & Sons
  • Release : 30 June 2020
GET THIS BOOKFundamentals of Numerical Mathematics for Physicists and Engineers

Introduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering Applying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics. Fundamentals of Numerical Mathematics for Physicists