Vor Ort
Merkzettel Warenkorb
  • Produktbild: Matrix Operations for Engineers and Scientists
  • Produktbild: Matrix Operations for Engineers and Scientists

Matrix Operations for Engineers and Scientists An Essential Guide in Linear Algebra

48,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.09.2010

Verlag

Springer Netherland

Seitenzahl

278

Maße (L/B/H)

23,6/15,9/2,3 cm

Gewicht

480 g

Auflage

2010

Sprache

Englisch

ISBN

978-90-481-9273-1

Beschreibung

Rezension

From the reviews:

“This work addresses all of the standard fare associated with an introductory course in linear algebra, albeit with an applied perspective appropriate for the audience suggested by its title. … Readers wishing to apply the methods of linear algebra to engineering problems would certainly find this book appropriate. … Summing Up: Recommended. Academic libraries serving upper-division undergraduates through researchers/faculty.” (D. S. Larson, Choice, Vol. 48 (7), March, 2011)

“This book meets the needs of engineers and scientists for an introduction to linear algebra in a context they understand. It provides a very detailed treatment of the theory of matrices … . There are numerous worked examples throughout the book and sets of exercises are provided at the end of each chapter, with all the solutions given at the end of the book. A special effort is made to keep all numerical calculations simple.” (Rabe von Randow, Zentralblatt MATH, Vol. 1210, 2011)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.09.2010

Verlag

Springer Netherland

Seitenzahl

278

Maße (L/B/H)

23,6/15,9/2,3 cm

Gewicht

480 g

Auflage

2010

Sprache

Englisch

ISBN

978-90-481-9273-1

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Matrix Operations for Engineers and Scientists
  • Produktbild: Matrix Operations for Engineers and Scientists
  • 1. MATRICES AND LINEAR SYSTEMS.- 1.1 Systems of Algebraic Equations.- 1.2 Suffix and Matrix Notation.- 1.3 Equality, Addition and Scaling of Matrices.- 1.4 Some Special Matrices and the Transpose Operation. Exercises.- 1 2. DETERMINANTS AND LINEAR SYSTEMS.- 2.1 Introduction to Determinants and Systems of Equation.- 2.2 A First Look at Linear Dependence and Independence.- 2.3 Properties of Determinants and the Laplace Expansion Theorem.- 2.4 Gaussian Elimination and Determinants.- 2.5 Homogeneous Systems and a Test for Linear Independence.- 2.6 Determinants and Eigenvalues. Exercises.- 2 3. MATRIX MULTIPLICATION, THE INVERSE MATRIX AND THE NORM.- 3.1 The Inner Product, Orthogonality and the Norm 3.2 Matrix Multiplication.- 3.3 Quadratic Forms.- 3.4 The Inverse Matrix.- 3.5 Orthogonal Matrices 3.6 Matrix Proof of Cramer’s Rule.- 3.7 Partitioning of Matrices. Exercises 34. SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS .- 4.1 The Augmented Matrix and Elementary Row Operations.- 4.2 The Echelon and Reduced Echelon Forms of a Matrix.- 4.3 The Row Rank of a Matrix 4.4 Elementary Row Operations and the Inverse Matrix.- 4.5 LU Factorization of a Matrix and its Use When Solving Linear Systems of Algebraic Equations.- 4.6 Eigenvalues and Eigenvectors. Exercises.- 4 5. EIGENVALUES, EIGENVECTORS, DIAGONALIZATION, SIMILARITY AND JORDAN FORMS.- 5.1 Finding Eigenvectors.- 5.2 Diagonalization of Matrices.- 5.3 Quadratic Forms and Diagonalization.- 5.4 The Characteristic Polynomial and the Cayley-Hamilton Theorem.- 5.5 Similar Matrices 5.6 Jordan Normal Forms.- 5.7 Hermitian Matrices. Exercises.-56. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS.- 6.1 Differentiation and Integration of Matrices.- 6.2 Systems of Homogeneous Constant Coefficient Differential Equations.- 6.3 An Application of Diagonalization 6.4 The Nonhomogeneeous Case.- 6.5 Matrix Methods and the Laplace Transform.- 6.6 The Matrix Exponential and Differential Equations. Exercises.- 6.7. AN INTRODUCTION TO VECTOR SPACES.- 7.1 A Generalization of Vectors.- 7.2 Vector Spaces and a Basis for a Vector Space.- 7.3 Changing Basis Vectors.- 7.4 Row and Column Rank .- .5 The Inner Product.- 7.6 The Angle Between Vectors and Orthogonal Projections.- 7.7 Gram-Schmidt Orthogonalization.- 7.8 Projections.- 7.9 Some Comments on Infinite Dimensional Vector Spaces. Exercises 78. LINEAR TRANSFORMATIONS AND THE GEOMETRY OF THE PLANE.- 8.1 Rotation of Coordinate Axes.- 8.2 The Linearity of the Projection Operation.- 8.3 Linear Transformations 8.4 Linear Transformations and the Geometry of the Plane. Exercises.- 8Solutions to all Exercises.