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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.
numerical analysis by mollah pdf free 15
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.
How to Download Numerical Analysis by Mollah PDF Free 15
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How to Read Numerical Analysis by Mollah PDF Free 15
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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.
Numerical Analysis by Mollah PDF Free 15 is a comprehensive guide that covers the fundamentals of numerical analysis with practical examples and exercises. It is suitable for students and practitioners who want to learn the concepts and methods of numerical analysis, as well as the computer fundamentals and FORTRAN programming language. The book is available for free download from various sources on the internet. However, you should be careful about the quality and legality of the sources and respect the copyright of the author. We hope that this article has given 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.
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 firstname.lastname@example.org 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