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This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of modern numerical algorithms and scientific computing. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. It covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithms, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, to nonlinear curve-fitting and swarm optimization. Especially suitable for undergraduates and graduates in computational mathematics, numerical algorithms, and scientific computing, it can be used as a textbook and/or reference book.
Sample Chapter(s)
Chapter 1: Mathematical Foundations (237 KB)
Contents:
- Mathematical Foundations
- Algorithmic Complexity
- Ordinary Differential Equations
- Partial Differential Equations
- Roots of Nonlinear Equations
- Numerical Integration
- Computational Linear Algebra
- Interpolation
- Finite Difference Methods for ODEs
- Finite Difference Methods for PDEs
- Finite Volume Method
- Finite Element Method
- Mathematical Optimization
- Mathematical Programming
- Stochastic Models
- Data Modelling
- Metaheuristic Methods
- Bee Algorithms
- Swarm Optimization
Readership: Advanced undergraduate and graduate students in applied mathematics, engineering and scientific computing; computer scientists; algorithm developers; mathematical modelers; researchers.
