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A first course in applied mathematics / [electronic resource]
by Rebaza, Jorge.
Material type:
BookPublisher: Hoboken : John Wiley & Sons, 2012Description: 1 online resource (458 pages).ISBN: 9781118277157; 1118277155; 1118229622; 9781118229620.Subject(s): Computer simulation | Mathematical models | MATHEMATICS -- Applied | Mathematical models | Computer simulation | MATHEMATICS -- Essays | MATHEMATICS -- Pre-Calculus | MATHEMATICS -- Reference | Computer simulation | Mathematical models | Mathematisches Modell | Computersimulation | Electronic booksOnline resources: Wiley Online Library
Contents:
Summary: Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation.
A First Course in Applied Mathematics; CONTENTS; Preface; 1 Basics of Linear Algebra; 1.1 Notation and Terminology; 1.2 Vector and Matrix Norms; 1.3 Dot Product and Orthogonality; 1.4 Special Matrices; 1.4.1 Diagonal and triangular matrices; 1.4.2 Hessenberg matrices; 1.4.3 Nonsingular and inverse matrices; 1.4.4 Symmetric and positive definite matrices; 1.4.5 Matrix exponential; 1.4.6 Permutation matrices; 1.4.7 Orthogonal matrices; 1.5 Vector Spaces; 1.6 Linear Independence and Basis; 1.7 Orthogonalization and Direct Sums; 1.8 Column Space, Row Space, and Null Space.
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