# [PDF] Numerical Methods By R. K. Jain, S. R. K. Iyengar Book Free Download

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## Numerical Methods

Download Numerical Methods By R. K. Jain, S. R. K. Iyengar – This comprehensive textbook covers material for one semester course on Numerical Methods (MA 1251) for B.E./ B.Tech. students of Anna University. The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. The book is written as a textbook rather than as a problem/guide book. The textbook offers a logical presentation of both the theory and techniques for problem solving to motivate the students in the study and application of Numerical Methods. Examples and Problems in Exercises are used to explain each theoretical concept and application of these concepts in problem solving. Answers for every problem and hints for difficult problems are provided to encourage the students for self-learning. At the end of each important section, a review set of questions and answers are provided to understand the theoretical concepts in the text.

### Book Details:

 Title Of The Book Numerical Methods Author’s Name R. K. Jain, S. R. K. Iyengar Publishers R. K. Jain, S. R. K. Iyengar File Size – MB File Type PDF

### Table Of Content:

1. SOLUTION OF EQUATIONS AND EIGEN VALUE PROBLEMS

• Solution of Algebraic and Transcendental Equations
• Linear System of Algebraic Equations
• Introduction
• Direct Methods
• Iterative Methods
• Eigen Value Problems

2. INTERPOLATION AND APPROXIMATION

• Introduction
• Interpolation with Unevenly Spaced Points
• Interpolation with Evenly Spaced Points
• Spline Interpolation and Cubic Splines

3. NUMERICAL DIFFERENTIATION AND INTEGRATION

• Introduction
• Numerical Differentiation
• Numerical integration

4. INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS

• introduction
• Single Step and Multi Step Methods
• Taylor Series Method
• Runge-Kutta Methods
• System of First Order initial Value Problems
• Multi Step Methods and Predictor-Corrector Methods

5. BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS AND INITIAL & BOUNDARY VALUE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS

• Introductions
• Boundary value Problems Governed by Second Order Ordinary Differential Equations
• Classification of Linear Second Order Partial Differential Equations
• Finite Difference Methods for Laplace and Poisson Equations
• Finite Difference Method for Heat Conduction Equation
• Finite Difference Method for Wave Equation