According to New Revised CBCS Syllabus w.e.f. 2020-21
A Text book of
Author: Arun Pandhari
ISBN: 978-81-946618-9-4
This book is authored by an eminent Post Graduate Head of Mathematics. He has over four decades of experience. It is written according to the revised curriculum of the University of Pune, which is scheduled to be implemented from June 2020.
It is meant to meet the needs of the student community and of professors teaching mathematics. This book is written according to the curriculum specifications of the university research committee and the text prescribed therein. It includes a systematic expansion of the topic, examples of different types of solutions, comprehensive exercises, and example solutions from real-life surveys.
1. Algebraic and Transcendental Equation
1. Introduction to Error
2. Algebraic and Transcendental Equation
3. Regula-Falsi Method (The Method of False Positions)
4. Newton Raphson 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 1/3rd Rule
5. Simpson’s 3/8th 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
According to New Revised CBCS Syllabus w.e.f. 2020-21
A Text book of
Author: Arun Pandhari
ISBN: 978-81-946618-9-4
This book is authored by an eminent Post Graduate Head of Mathematics. He has over four decades of experience. It is written according to the revised curriculum of the University of Pune, which is scheduled to be implemented from June 2020.
It is meant to meet the needs of the student community and of professors teaching mathematics. This book is written according to the curriculum specifications of the university research committee and the text prescribed therein. It includes a systematic expansion of the topic, examples of different types of solutions, comprehensive exercises, and example solutions from real-life surveys.
