This book is a concise and lucid introduction to computer oriented numerical methods with well-chosen graphical illustrations that give an insight into the mechanism of various methods. The book develops computational algorithms for solving non-linear algebraic equation, sets of linear equations, curve-fitting, integration, differentiation, and solving ordinary differential equations.
OUTSTANDING FEATURES
• Elementary presentation of numerical methods using computers for solving a variety of problems for students who have only basic level knowledge of mathematics.
• Geometrical illustrations used to explain how numerical algorithms are evolved.
• Emphasis on implementation of numerical algorithm on computers.
• Detailed discussion of IEEE standard for representing floating point numbers.
• Algorithms derived and presented using a simple English based structured language.
• Truncation and rounding errors in numerical calculations explained.
• Each chapter starts with learning goals and all methods illustrated with numerical examples.
• Appendix gives pointers to open-source libraries for numerical computation. Preface to the Fourth Edition 1. Computational Algorithms 2. Computer Arithmetic 3. Solving Non-linear Equations 4. Solving Simultaneous Algebraic Equations 5. Interpolation 6. Least Squares Approximation of Functions 7. Approximation of Functions 8. Differentiation and Integration 9. Numerical Solution of Differential Equations Appendix
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