Download Basic Computational Mathematics by George Yankovsky, This book provides a comprehensive introduction to procedure arithmetic, that forms a necessary a part of trendy numerical algorithms and scientific computing. It uses a theorem-free approach with simply the proper balance between arithmetic and numerical algorithms. It covers all major topics in procedure arithmetic with a large vary of rigorously designated numerical algorithms, starting from the root-finding algorithms, numerical integration, numerical strategies of partial differential equations, finite part strategies, improvement algorithms, random models, to nonlinear curve-fitting and swarm improvement.

CONTENTS OF BOOK-

CHAPTER I

Section 1. Computing Roots of Equation
Section 2. Functions and Tables
Section 3. Ordinary Differential Equation

CHAPTER II

Section 4. Partial Diffferential Equation
Section 5. Approximation and Stability
Section 6. Spectral Criterion of Stability
Section 7. Constructing Computation Formulas
Section 8. Implicit Difference Scheme
Section 9. Solving Difference Equations

CHAPTER III

Section 10. Calculating Discontinous Solution
Section 11. Multidimensional Problems
Section 12. Steady-state Problems