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Numerical Techniques

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According to SPPU New Revised CBCS Syllabus w.e.f. 2020-21

S.Y. B.Sc. Computer Science

Semester-III

A Text Book of

Numerical Techniques

Author: Prof. Arun Pandhari

Price: 240/-

ISBN: 978-81-946618-9-4

Quantity
In Stock

Contents

1. Algebraic and Transcendental Equation  

1. Introduction to Error  

2. Algebraic and Transcendental Equation  

3. Regula-Falsi Method (The Method of False Positions)    

4. NewtonRaphson Method  

2. Calculus of Finite Differences and Interpolation

1. Differences 

2. Forward Difference

3. Backward Difference Operator

4. Central Differences    

5. Other Difference

6. Properties of Operators

7. Relation between Operators  

8. Fundamental Theorem on Differences of Polynomial 

9. Interpolation    

10.Newton-Gregory Formula for Forward Interpolation

11.Newton’s –Gregory Formula for Backward Interpolation

12.Interpolation with Unequal Interval    

13.Lagrange’s Interpolation Formula 

14.Divided Differences    

15.Newton’s Divided Difference Formula (Interpolation with Unequal Intervals) 

3. Numerical Integration  

1. Introduction

2. General Quadrature Formula (For Equidistant Arguments) 

3. Trapezoidal Rule 

4. Simpson’s rd Rule   

5. Simpson’s th Rule

6. Euler-Maclaurin’s Formula 

4. Numerical Solution of Ordinary Differential Equation

1. Introduction

2. Euler’s Method   

3. Euler’s Modified Method

4. Runge – Kutta Methods

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