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NUMERICAL ANALYSIS & COMPUTATIONAL PROCEDURES by Dr. S. A. Mollah

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NUMERICAL ANALYSIS & COMPUTATIONAL PROCEDURES (Incl. Comp. Fund. and Progr. in
FORTRAN & C)
Author: Dr. S. A. Mollah
Contributors: Dr. Sandip Banerjee and Mr. Sudipta Chakrabarty
First Published: 1996
Eighth Edition: 2022
ISBN: 978-93-94107-05-2
Pages: 974

CONTENTS

I. Numerical Analysis
- Causes and Estimations of Error in Calculation
- Calculus of Finite Differences
- Interpolation with Equal and Unequal Intervals
- Spline Functions
- Numerical Differentiation
- Numerical Integration
- Solution of Algebraic and Transcendental Equations
- System of Linear Algebraic Equations
- Numerical Solution of Ordinary Differential Equation of First Order
- Partial Differential Equations
- Eigen Values and Eigen Vectors

II. Computational Procedures
- Interpolation for Equispaced Nodes (Arguments)
- Interpolation of Unequally Spaced Nodes (Arguments)
- Inverse Interpolation
- Numerical Differentiation
- Numerical Integration
- Solution of Algebraic and Transcendental Equations
- System of Linear Algebraic Equations
- Solution of First Order and First Degree Differential Equations
- Computation of Sample Characteristics (Univariate and Bivariate Sample)
- Least Squares Method and Curve Fitting
- Eigen Values and Eigen Vectors

III. Computer Fundamentals and Programming in Fortran 77
- Computer Fundamentals
- Number Systems
- Boolean Algebra
- Switching Circuits and Logic Gates
- Algorithm and Flow Chart
- Fortran 77

IV. Computer Fundamentals and C Programming and Numerical Problems using C
- Computer Fundamentals
- Number Systems
- Boolean Algebra
- Switching Circuits and Logic Gates
- Flow Chart and Algorithm
- C Programming Basics & Typical C Programs
- Various Numerical Problems using C
- Bibliography
- University Questions and Answers

ABOUT THE BOOKThis book is for Mathematics (Hons./Major) and Statistics (Hons./Major) students. Also useful to students of Applied Sciences and Engineering. The 8th edition of this book has been thoroughly updated to cover the latest syllabi of various Indian universities for the B.Sc. Honours and Engineering. It includes the (i) Spline Functions, (ii) Simpsons 3/8th Rule and (iii) Partial Differential Equations. Also included are solutions to the latest year question papers of many universities. It covers the CBCS Syllabus.

ABOUT THE AUTHOR:

Dr. S.A. Mollah, Reader & Head (Retd.), Department of Mathematics, St. Paul’s C.M. College, Kolkata.

Dr. Sandip Banerjee, Associate Professor, Department of Mathematics, IIT Roorkee (Uttarakhand).

Mr. Sudipta Chakrabarty, Assistant Professor, Techno India College, Salt Lake, Kolkata (WBUT)

Dr. K.C. Pal, M.Sc. (Gold Medalist), Ph.D., Head of the Department of Mathematics (UG and PG), Ramkrishna Mission Vidyamandira.

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