Griffiths D.F., Higham D.J. Numerical Methods for Ordinary Differential Equations: Initial Value Problems
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Springer, 2010. — 268 p.Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.
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Wiley, 2009. — 252 p. — ISBN: 047004294X
A concise introduction to numerical methods and the mathematical framework needed to understand their performance
Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only...
New Age International, 2010. - 369 pages.
This book is designed as an introductory undergraduate or graduate course for mathematics, science and engineering students of all disciplines. The text covers all major aspects of numerical methods, including numerical computations, matrices and linear system of equations, solution of algebraic and transcendental equations, finite...
New Age Publications, 2007. - 236 pages.
Vibration Analysis is an exciting and challenging field and is a multidisciplinary subject. This
book is designed and organized around the concepts of Vibration Analysis of Mechanical Systems
as they have been developed for senior undergraduate course or graduate course for engineering students of all disciplines.
This book includes...
Wiley, 2013. — 614 p. — 2nd ed. — ISBN: 1118367596, 9781118367599
Praise for the First Edition
". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."— Zentralblatt MATH
". . . carefully structured with many detailed worked examples."— The Mathematical Gazette
CRC, 1998. - 384 pages.
Matrix Algebra and Solution of Matrix Equations.
Manipulation of Matrices.
Solution of Matrix Equation.
Program Gauss — Gaussian Elimination Method.
Matrix Inversion, Determinant, and Program MatxInvD.
Exact, Least-Squares, and Spline Curve-Fits.
Exact Curve Fit.
Program LeastSq1 — Linear...
Dover, 2001. - 624 Pages. ISBN: 048641454X
Outstanding text treats numerical analysis with mathematical rigor, but relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.