Introduction To Computational Mathematics

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing, and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, including root-finding, numerical integration, partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting, data modeling, bio-inspired algorithms, and swarm intelligence. Suitable for undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence, and engineering optimization, it can serve as a textbook or reference book.