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Linear Algebra for Engineers and Scientists Using Matlab Kenneth Hardy

Linear Algebra for Engineers and Scientists Using Matlab By Kenneth Hardy

Linear Algebra for Engineers and Scientists Using Matlab by Kenneth Hardy


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Summary

Integrating the use of MATLAB in an innovative way, this text is designed for a one term course in introductory linear algebra. Although the book has been developed in the context of engineering and computer science, it should also be suitable for science students and other audiences.

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Linear Algebra for Engineers and Scientists Using Matlab Summary

Linear Algebra for Engineers and Scientists Using Matlab: United States Edition by Kenneth Hardy

For a one-semester introductory course. Although the text has been developed in the context of engineering and physical science, it is also suitable for computer science students, math majors, and other quantitative fields.

The most carefully written and clearest written text in linear algebra, motivates students in applied areas by placing linear algebra in context through current applications, anecdotes and historical references. Although it may be used without machine computation, the use of MATLAB is encouraged in a unique and innovative way.

Table of Contents

(NOTE: A (historic) profile and introduction are keynotes to each chapter.)

1. Linear Systems.

Solving Linear Systems. Echelon Forms, Rank. Applications.



2. Matrices.

Matrix Algebra. Inverses. LU-Factorization. Applications.



3. Vectors.

Spaces of Vectors. Linear Independence, Bases, Dimension. Null Space, Column Space, Row Space. Linear Transformations on Rn.



4. Orthogonality.

Dot Product, Norm. Orthogonal Sets, Orthogonal Matrices. Orthogonal Subspaces, Projections, Bases. Applications.



5. Determinants.

Definition and Computation. Inverses and Products.



6. Eigenvalue Problems.

Eigenvalues and Eigenvectors. Diagonalization. Applied Eignevalue Problems. Markov Chains. Systems of Linear Differential Equations.



7. Vector Spaces.

Vector Spaces and Subspaces. Linear Independence, Basis, Dimension. Coordinates, Linear Transformations.



8. Complex Numbers.

Algebraic Theory. Geometric Theory. Polar Form. Extraction of Roots, Polynomials. Linear Algebra: The Complex Case.



9. Linear Programming.

Standard Forms, Geometrical Methods. The Simplex Algorithm. Duality. Mixed Constraints.



Appendix A: MATLAB.


Appendix B: TOOLBOX.


Answers to Selected Odd-Numbered Exercises


Index.

Additional information

CIN0139067280A
9780139067280
0139067280
Linear Algebra for Engineers and Scientists Using Matlab: United States Edition by Kenneth Hardy
Used - Well Read
Hardback
Pearson Education (US)
20040917
504
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book. We do our best to provide good quality books for you to read, but there is no escaping the fact that it has been owned and read by someone else previously. Therefore it will show signs of wear and may be an ex library book

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