Numerical analysis for engineers : methods and applications /: methods and applications. (2015)

• Record Type: Book
• Further Information: Note: Bilal Ayyub, Richard H. McCuen.
• Authors: Ayyub, Bilal M; McCuen, Richard H, 1941-
• Contents: Introduction; Numerical Analysis in Engineering; Analytical versus Numerical Analysis; Taylor Series Expansion; Applications; Problems; ; Matrices; Introduction; Vectors; Determinants; Rank of a Matrix; Applications; Problems; ; Introduction to Numerical Methods; Introduction; Accuracy, Precision, and Bias; Significant Figures; Analysis of Numerical Errors; Advantages and Disadvantages of Numerical Methods; Applications; Problems; ; Roots of Equations; Introduction; Eigenvalue Analysis; Direct-Search Method; Bisection Method; Newton–Raphson Iteration; Secant Method; Polynomial Reduction; Synthetic Division; Multiple Roots; Systems of Nonlinear Equations; Applications; Problems; ; Simultaneous Linear Equations; Introduction; Gaussian Elimination; Gauss–Jordan Elimination; Additional Considerations for Elimination Procedures; LU Decomposition; Iterative Equation-Solving Methods; Use of Determinants; Matrix Inversion; Applications; Problems; ; Numerical Interpolation; Introduction; Method of Undetermined Coefficients; Gregory–Newton Interpolation Method; Finite-Difference Interpolation; Newton’s Method; Lagrange Polynomials; Interpolation Using Splines; Guidelines for Choice of Interpolation Method; Multidimensional Interpolation; Applications; Problems; ; Differentiation and Integration; Numerical Differentiation; Numerical Integration; Applications; Problems; ; Differential Equations; Introduction; Taylor Series Expansion; Euler’s Method; Modified Euler’s Method; Runge–Kutta Methods; Predictor–Corrector Methods; Least-Squares Method; Galerkin Method; Higher Order Differential Equations; Boundary-Value Problems; Integral Equations; Applications; Problems; ; Data Description and Treatment; Introduction; Classification of Data; Graphical Description of Data; Histograms and Frequency Diagrams; Descriptive Measures; Applications; Problems; ; Curve Fitting and Regression Analysis; Introduction; Correlation Analysis; Introduction to Regression; Principle of Least Squares; Reliability of the Regression Equation; Correlation versus Regression; Applications of Bivariate Regression Analysis; Multiple Regression Analysis; Regression Analysis of Nonlinear Models; Applications; Problems; ; Numerical Optimization; Introduction; The Response Surface Analysis; Numerical Least Squares; Steepest Descent Method; Illustrating Applications; Applications; Concluding Remarks; Problems;
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 620.001518; Engineering mathematics; Numerical analysis
• Languages: English
• ISBNs: 9781482250381; 9781482250367; 9781482250374
• Related ISBNs: 9781482250350
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.