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How to Learn Computer Oriented Numerical Methods with Thangaraj’s Book PDF Download

If you are looking for a comprehensive and easy-to-understand introduction to computer oriented numerical methods, you might want to check out the book Computer Oriented Numerical Methods by P. Thangaraj. This book covers the basic concepts and algorithms of numerical methods and provides C programs for solving various problems in engineering and science.

In this article, we will give you an overview of the book and show you how to download the PDF version for free. We will also share some tips on how to use the book effectively for learning and practicing computer oriented numerical methods.

What is Computer Oriented Numerical Methods?

Computer oriented numerical methods are techniques that use computers to solve mathematical problems that are difficult or impossible to solve analytically. These problems include nonlinear equations, systems of linear equations, curve fitting, integration, differentiation, and differential equations.

Computer oriented numerical methods involve developing computational algorithms, flow charts, and programs that can implement the numerical methods on a computer. These methods can handle large and complex problems that involve high accuracy, speed, and efficiency.

Computer oriented numerical methods are widely used in various fields of engineering and science, such as mechanical engineering, civil engineering, electrical engineering, chemical engineering, physics, chemistry, biology, and economics.

What is Thangaraj’s Book on Computer Oriented Numerical Methods?

Computer Oriented Numerical Methods by P. Thangaraj is a well-written textbook that explores the basic concepts and algorithms of numerical methods and gives C programs for solving various problems in engineering and science. The book is intended for students of B.E., B.Tech., and B.Sc. (Mathematics and Physics).

The book has the following features:

It gives clear and precise exposition of modern numerical methods.
It provides mathematical derivation for each method to build the student’s understanding of numerical analysis.
It presents C programs for each method to help students to implement the method in a programming language.
It includes several solved examples to illustrate the concepts.
It contains exercises with answers for practice.

The book covers the following topics:

Solution of nonlinear algebraic equations
Solution of simultaneous linear algebraic equations
Least squares approximation of functions
Numerical differentiation and integration
Numerical solution of ordinary differential equations

How to Download Thangaraj’s Book PDF for Free?

If you are interested in reading Thangaraj’s book on computer oriented numerical methods, you might be wondering how to get the PDF version for free. Well, there are some websites that offer free download of the book in PDF format. However, you should be careful about the quality and legality of these websites. Some of them might contain viruses, malware, or pirated content that can harm your computer or violate the author’s rights.

One of the safest and easiest ways to download Thangaraj’s book PDF for free is to use the Google Books service. Google Books is a platform that allows you to search, preview, and read books online. You can also download some books in PDF format for free if they are in the public domain or have the permission of the publisher or author.

To download Thangaraj’s book PDF for free from Google Books, you can follow these steps:

Go to https://books.google.com/ and type computer oriented numerical methods by thangaraj in the search box.
Click on the book title that appears in the search results. You will see a preview of the book with some pages available to read online.
On the top right corner of the preview, you will see a button that says EBOOK – FREE. Click on it and you will be redirected to a page where you can download the book in PDF format.
Click on the Download button and save the file to your computer. You can then open it with any PDF reader software and enjoy reading the book.

Note that this method might not work for all books or all regions. Some books might not have the free download option or might be restricted by geographical location. In that case, you might have to buy the book from an online store or borrow it from a library.

How to Use Thangaraj’s Book Effectively for Learning and Practicing Computer Oriented Numerical Methods?

Now that you have downloaded Thangaraj’s book PDF for free, you might be wondering how to use it effectively for learning and practicing computer oriented numerical methods. Here are some tips that can help you:

Read the book carefully and understand the concepts and algorithms of each method. Try to follow the mathematical derivation and logic behind each step.
Run the C programs given in the book on your computer and observe the output. Try to modify the programs and experiment with different inputs and parameters.
Solve the exercises given at the end of each chapter and check your answers with the solutions provided in the book. Try to solve them without looking at the solutions first.
Apply the numerical methods to real-world problems that interest you or relate to your field of study. You can find many examples and applications of numerical methods online or in other books.
Compare and contrast different numerical methods and analyze their advantages and disadvantages. Try to understand when and why to use a particular method over another.

Conclusion

Computer oriented numerical methods are powerful tools that can help you solve complex mathematical problems using computers. Thangaraj’s book on computer oriented numerical methods is a great resource that can teach you the basic concepts and algorithms of these methods and provide you with C programs for solving various problems in engineering and science. You can download Thangaraj’s book PDF for free from Google Books and use it effectively for learning and practicing computer oriented numerical methods.

Numerical Differentiation and Integration

Numerical differentiation and integration are numerical methods that can approximate the derivatives and integrals of functions using finite differences and numerical quadrature. These methods are useful for finding the rates of change, slopes, tangents, areas, volumes, and other properties of functions that are difficult or impossible to calculate analytically.

Thangaraj’s book covers the following topics on numerical differentiation and integration:

Forward, backward, and central difference formulas for first and higher order derivatives.
Richardson’s extrapolation method for improving the accuracy of finite difference formulas.
Trapezoidal rule, Simpson’s rule, and Boole’s rule for numerical integration.
Romberg’s method for improving the accuracy of numerical integration formulas.
Gaussian quadrature method for numerical integration of functions with high accuracy.

The book provides C programs for implementing these methods and solving various problems involving differentiation and integration. The book also gives examples of applications of these methods in engineering and science, such as finding the velocity and acceleration of a projectile, estimating the error in measurements, finding the area under a curve, and solving differential equations.

Numerical Solution of Ordinary Differential Equations

Ordinary differential equations (ODEs) are equations that involve one or more derivatives of an unknown function with respect to a single independent variable. ODEs are widely used to model various phenomena in nature and engineering, such as population growth, radioactive decay, chemical reactions, heat transfer, electric circuits, and mechanical vibrations.

Numerical solution of ODEs is a numerical method that can find approximate solutions of ODEs using discrete values of the independent variable and the function. These methods are useful for solving ODEs that are nonlinear, complex, or have no analytical solutions.

Thangaraj’s book covers the following topics on numerical solution of ODEs:

Euler’s method, modified Euler’s method, and Runge-Kutta methods for solving first order initial value problems.
Milne’s method and Adams-Bashforth-Moulton method for solving first order initial value problems using predictor-corrector techniques.
Shooting method and finite difference method for solving boundary value problems.
Runge-Kutta-Fehlberg method and Dormand-Prince method for solving first order initial value problems with adaptive step size control.
Systems of first order ODEs and higher order ODEs.

The book provides C programs for implementing these methods and solving various problems involving ODEs. The book also gives examples of applications of these methods in engineering and science, such as modeling the motion of a pendulum, a spring-mass system, a rocket, a chemical reactor, and a predator-prey system.

C Programming Language

C is a general-purpose, structured, and low-level programming language that was developed in the 1970s by Dennis Ritchie at Bell Labs. C is one of the most widely used and influential programming languages in the world. C is used for system programming, embedded programming, application programming, and scientific computing.

C is a powerful and flexible language that allows direct access to hardware and memory. C also supports modular programming, data abstraction, and recursion. C has a rich set of operators, data types, control structures, and functions. C also has a standard library that provides common functions for input/output, string manipulation, mathematics, and other tasks.

Thangaraj’s book uses C as the programming language for implementing the numerical methods and solving the problems. The book assumes that the reader has some basic knowledge of C and its syntax. The book explains the logic and structure of the C programs and gives comments to clarify the code. The book also gives instructions on how to compile and run the C programs on a computer.

Other Books on Computer Oriented Numerical Methods

Thangaraj’s book is not the only book on computer oriented numerical methods. There are many other books that cover the same or similar topics with different approaches, perspectives, and levels of difficulty. Some of these books are:

Numerical Methods in Engineering and Science by B.S. Grewal: This book covers a wide range of numerical methods for solving various problems in engineering and science using MATLAB. The book gives detailed explanations of the theory and algorithms of each method and provides numerous examples and exercises.
Numerical Methods for Engineers by Steven C. Chapra and Raymond P. Canale: This book focuses on applying numerical methods to engineering problems using MATLAB and Excel. The book gives practical guidance on how to select, use, and evaluate numerical methods for different situations and criteria.
Numerical Methods for Scientific and Engineering Computation by M.K. Jain, S.R.K. Iyengar, and R.K. Jain: This book covers the basic concepts and techniques of numerical methods for solving various problems in science and engineering using Fortran 77. The book gives rigorous mathematical analysis of each method and provides illustrative examples and exercises.
Numerical Analysis by Richard L. Burden and J. Douglas Faires: This book covers the theoretical aspects and foundations of numerical methods for solving various problems in mathematics and science using MATLAB. The book gives proofs of convergence, stability, and accuracy of each method and provides challenging examples and exercises.
Numerical Recipes: The Art of Scientific Computing by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery: This book covers a comprehensive range of numerical methods for solving various problems in science and engineering using C++. The book gives practical advice on how to implement, test, and optimize numerical algorithms and provides ready-to-use code snippets.

Conclusion

In this article, we have given you an overview of computer oriented numerical methods and how to learn them with Thangaraj’s book PDF download. We have also shown you how to download the book for free from Google Books and how to use it effectively for learning and practicing numerical methods. We have also introduced you to some other books on computer oriented numerical methods that you might want to check out.

Computer oriented numerical methods are essential skills for anyone who wants to solve complex mathematical problems using computers. Thangaraj’s book is a great resource that can teach you the basic concepts and algorithms of these methods and provide you with C programs for solving various problems in engineering and science. We hope that this article has helped you to get started with computer oriented numerical methods and inspired you to explore more on this fascinating topic.