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## Numerical Analysis by Mollah PDF Free 15: A Comprehensive Guide

If you are looking for a book that covers the fundamentals of numerical analysis with practical examples and exercises, then you might want to check out Numerical Analysis by Mollah PDF Free 15. This book, written by Dr. S.A. Mollah, is a comprehensive guide that introduces the concepts and methods of numerical analysis, including error analysis, finite differences, interpolation, numerical differentiation and integration, solution of equations and systems of equations, computer fundamentals and FORTRAN programming. In this article, we will give you an overview of what this book is about, how to download it for free, how to read it on your device, and what are the main topics covered in it.

## Introduction

Numerical analysis is a branch of mathematics that deals with the development and application of numerical methods to solve problems that cannot be solved analytically or exactly. Numerical methods are algorithms that use numerical calculations to approximate the solutions of mathematical problems with a given degree of accuracy. Numerical analysis is widely used in science, engineering, economics, finance, and other fields that require quantitative analysis.

Dr. S.A. Mollah is a professor of mathematics at the University of Dhaka in Bangladesh. He has more than 30 years of teaching and research experience in numerical analysis, differential equations, and mathematical modeling. He has published several books and papers on these topics, and has received several awards and honors for his contributions to mathematics education and research.

Numerical Analysis by Mollah PDF Free 15 is one of his most popular books on numerical analysis. It was first published in 1995 and has been updated and revised several times since then. The latest edition, published in 2016, includes a new section on computer fundamentals and FORTRAN programming, which is useful for students and practitioners who want to learn how to implement numerical methods on computers. The book is designed for undergraduate and graduate students of mathematics, physics, engineering, and other related disciplines. It is also suitable for self-study and reference for anyone who is interested in numerical analysis.

If you want to download Numerical Analysis by Mollah PDF Free 15, you need to follow these steps:

• Find a reliable source. There are many websites that offer free PDF downloads of books, but not all of them are trustworthy or legal. Some of them may contain viruses, malware, or spam that can harm your device or compromise your privacy. To avoid these risks, you should look for reputable sources that have positive reviews and ratings from other users. For example, you can use this link to access the book on Scribd, which is a popular online platform for reading and sharing documents.

• Check the file size and format. Before you download the book, you should make sure that it is in PDF format and that it has a reasonable file size. PDF is a standard format for electronic documents that can be viewed and printed on any device. The file size of the book should not be too large or too small, as it may indicate poor quality or incomplete content. For example, the file size of Numerical Analysis by Mollah PDF Free 15 on Scribd is about 23 MB, which is reasonable for a book of 584 pages.

## How to Read Numerical Analysis by Mollah PDF Free 15

If you want to read Numerical Analysis by Mollah PDF Free 15, you need to follow these steps:

• ```html Zoom in or out as needed. Depending on your device's screen size and resolution, you may need to adjust the zoom level of the PDF reader to make the text and images more readable. You can use the zoom tools provided by the PDF reader, such as buttons, sliders, menus, or keyboard shortcuts, to zoom in or out as needed. You can also use the fit to page or fit to width options to make the PDF file fit the screen size.

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## What are the Main Topics Covered in Numerical Analysis by Mollah PDF Free 15

Numerical Analysis by Mollah PDF Free 15 covers three main topics: error analysis and finite differences, solution of equations and systems of equations, and computer fundamentals and FORTRAN programming. Each topic is divided into several chapters and sections that explain the concepts and methods of numerical analysis with examples and exercises. Here is a brief summary of each topic:

### Part I: Error Analysis and Finite Differences

This part covers the basics of error analysis and finite differences, which are essential for understanding and applying numerical methods. It includes four chapters:

• Chapter 1: Causes and Estimation of Error in Calculation. This chapter introduces the sources and types of errors that occur in numerical calculations, such as round-off errors, truncation errors, approximation errors, etc. It also explains how to measure and estimate errors using absolute and relative errors, significant digits, error propagation and bounds.

• Chapter 2: Calculus of Finite Differences. This chapter introduces the difference operators and relations that are used to approximate derivatives and integrals using finite differences. It also explains how to use forward, backward and central differences to calculate finite differences of different orders.

• Chapter 3: Interpolation with Equal and Unequal Intervals. This chapter introduces the interpolation methods that are used to estimate unknown values of a function using known values at discrete points. It also explains how to use Lagrange's interpolation formula for unequal intervals and Newton's forward and backward interpolation formulas for equal intervals. It also covers Stirling's and Bessel's central interpolation formulas for central differences.

• Chapter 4: Numerical Differentiation and Integration. This chapter introduces the numerical differentiation and integration methods that are used to approximate derivatives and integrals of a function using finite differences and interpolation. It also explains how to use numerical differentiation formulas based on finite differences of different orders and numerical integration formulas based on interpolation of different degrees. It also covers Trapezoidal, Simpson's and Weddle's rules for numerical integration.

### Part II: Solution of Equations and Systems of Equations

This part covers the solution of equations and systems of equations, which are common problems in numerical analysis. It includes two chapters:

• Chapter 5: Solution of Algebraic and Transcendental Equations. This chapter introduces the methods that are used to find the roots or zeros of algebraic and transcendental equations using numerical techniques. It also explains how to use bisection method, regula-falsi method, and Newton-Raphson method for finding roots of nonlinear equations.

• Chapter 6: Solution of Simultaneous Linear Equations. This chapter introduces the methods that are used to solve systems of linear equations using numerical techniques. It also explains how to use Gauss elimination method, Gauss-Jordan method, and Gauss-Seidel method for solving systems of linear equations.

### Part III: Computer Fundamentals and FORTRAN Programming

This part covers the computer fundamentals and FORTRAN programming language, which are useful for implementing numerical methods on computers. It includes two chapters:

• Chapter 7: Computer Fundamentals. This chapter introduces the basic components and functions of a computer system, such as input, output, memory, processor, etc. It also explains the binary number system and arithmetic operations, and how data is represented and stored in computers using bits, bytes, words, etc.

• Chapter 8: FORTRAN Programming Language. This chapter introduces the FORTRAN programming language and its features, such as syntax, data types, variables, constants, operators, expressions, statements, etc. It also explains how to write, compile, run, and debug FORTRAN programs using examples and exercises.

## FAQs

Here are some frequently asked questions about Numerical Analysis by Mollah PDF Free 15:

• Q: Who is the target audience of this book?A: The target audience of this book are undergraduate and graduate students of mathematics, physics, engineering, and other related disciplines who want to learn the fundamentals of numerical analysis. It is also suitable for self-study and reference for anyone who is interested in numerical analysis.

• Q: What are the prerequisites for reading this book?A: The prerequisites for reading this book are basic knowledge of calculus, linear algebra, and differential equations. Some familiarity with computers and programming languages is also helpful but not necessary.

• Q: How can I get a hard copy of this book?A: You can get a hard copy of this book by ordering it from the publisher's website or from online bookstores such as Amazon or Flipkart. You can also check your local library or bookstore for availability.

• Q: How can I contact the author of this book?A: You can contact the author of this book by sending an email to samollah@du.ac.bd or by visiting his website at http://www.math.du.ac.bd/faculty/samollah/.

• Q: What are some other books on numerical analysis that I can read?A: Some other books on numerical analysis that you can read are:

• Numerical Methods for Engineers and Scientists by Amos Gilat and Vish Subramaniam

• Numerical Analysis by Richard L. Burden and J. Douglas Faires

• Numerical Methods in Engineering with Python by Jaan Kiusalaas

• Numerical Mathematics and Computing by E. Ward Cheney and David R. Kincaid

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