Numerical Methods for Engineers and Scientists Using MATLAB®, Second Edition

by Esfandiari, Ramin S.

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Title Statements

Full title :Numerical Methods for Engineers and Scientists Using MATLAB®, Second Edition.

Edition Statements

Publication Date:2017.
Edition:2nd ed

Publication Statements

Publisher(s):Chapman and Hall/CRC
Place of Publication:Boca Raton
Language:eng
Publication Date:2017.

Notes

3.7 Equations with Several Roots.

The Physical Object

Description:1 online resource (495 pages)

Edition Identifiers

ISBN:9781498777445, 1498777449
oclc:on1047901318
LC Classification:TA335
Dewey Decimal:620.0028553

Cover; Half Title; Title Page; Copyright Page; Dedication Page; Contents; Preface; Acknowledgments; Author; 1. Background and Introduction; Part 1: Background; 1.1 Differential Equations; 1.1.1 Linear, First-Order ODEs; 1.1.2 Second-Order ODEs with Constant Coefficients; 1.1.2.1 Homogeneous Solution; 1.1.2.2 Particular Solution; 1.1.3 Method of Undetermined Coefficients; 1.2 Matrix Analysis; 1.2.1 Matrix Operations; 1.2.2 Matrix Transpose; 1.2.3 Special Matrices; 1.2.4 Determinant of a Matrix; 1.2.5 Properties of Determinant; 1.2.5.1 Cramer's Rule; 1.2.6 Inverse of a Matrix.

1.2.7 Properties of Inverse1.2.8 Solving a Linear System of Equations; 1.3 Matrix Eigenvalue Problem; 1.3.1 Solving the Eigenvalue Problem; 1.3.2 Similarity Transformation; 1.3.3 Matrix Diagonalization; 1.3.4 Eigenvalue Properties of Matrices; Part 2: Introduction to Numerical Methods; 1.4 Errors and Approximations; 1.4.1 Sources of Computational Error; 1.4.2 Binary and Hexadecimal Numbers; 1.4.3 Floating Point and Rounding Errors; 1.4.4 Round-Off: Chopping and Rounding; 1.4.5 Absolute and Relative Errors; 1.4.6 Error Bound; 1.4.7 Transmission of Error from a Source to the Final Result.

1.4.8 Subtraction of …