(eBook PDF) Numerical Analysis 3rd Edition by Timothy Sauer – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 9780134696454
- ISBN-13 : 978-0134696454
- Author: Timothy Sauer
Numerical Analysis, 3rd Edition is for students of engineering, science, mathematics, and computer science who have completed elementary calculus and matrix algebra. It covers both standard topics and some of the more advanced numerical methods used by computational scientists and engineers, while remaining readable and relevant for undergraduates.
Sauer discusses the fundamental concepts of numerical analysis: convergence, complexity, conditioning, compression, and orthogonality. Throughout, Spotlight features comment on each of these concepts as they are addressed, and make connections to other expressions of the same principle elsewhere in the book. The popular Reality Check in each chapter gives concrete, relevant examples of the way numerical methods lead to solutions of important scientic and technological problems; they can be used to launch individual or team projects. MATLAB® is used throughout to demonstrate and implement numerical methods.
2 Solutions of Equations in One Variable 47
3 Interpolation and Polynomial Approximation 105
4 Numerical Differentiation and Integration 173
5 Initial-Value Problems for Ordinary Differential Equations 259
7 Iterative Techniques in Matrix Algebra 431
9 Approximating Eigenvalues 561
10 Numerical Solutions of Nonlinear Systems of Equations 629
11 Boundary-Value Problems for Ordinary Differential Equations 671