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Apple Academic Press Inc.
04 January 2016
Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials.

Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems.

The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.
By:   Bilal Ayyub (University of Maryland College Park USA), Richard H. McCuen (University of Maryland, College Park, USA)
Imprint:   Apple Academic Press Inc.
Country of Publication:   Canada
Edition:   2nd New edition
Dimensions:   Height: 254mm,  Width: 178mm,  Spine: 28mm
Weight:   975g
ISBN:   9781482250350
ISBN 10:   1482250357
Series:   Textbooks in Mathematics
Pages:   431
Publication Date:   04 January 2016
Audience:   General/trade ,  College/higher education ,  Professional and scholarly ,  ELT Advanced ,  Primary
Format:   Hardback
Publisher's Status:   Active
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

Bilal Ayyub, PhD, is a professor of civil and environmental engineering at the University of Maryland, College Park, and the director of the Center for Technology and Systems Management at the A. James Clark School of Engineering. Dr. Ayyub is a fellow of the American Society of Civil Engineers, the American Society of Mechanical Engineers, the Society of Naval Architects and Marine Engineers, and the Society for Risk Analysis, and is also a senior member of the Institute of Electrical and Electronics Engineers (IEEE). He has completed many research and development projects for many governmental and private entities. Dr. Ayyub has received numerous awards and is the author or coauthor of more than 600 publications in journals, conference proceedings, and reports including 8 textbooks and 14 edited books. Richard H. McCuen, PhD, is the Ben Dyer Professor of civil and environmental engineering at the University of Maryland, College Park. Dr. McCuen earned degrees from Carnegie Mellon University and the Georgia Institute of Technology. Topics in statistical hydrology and stormwater management are his primary research interests. He received numerous awards and is the author of 26 books and over 250 professional papers.

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