Mandal P. Fortran Self-Taught with Applications in Numerical Analysis 2021

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Mandal P. Fortran Self-Taught with Applications in Numerical Analysis 2021

Textbook in PDF format This book is the outcome of the courses given to post-graduate students during the last twenty-five years. Fortran programming and techniques of numerical analysis are now taught in both the undergraduate and postgraduate curriculums of pure science, computer science as well as engineering programs; this book language is introduced here in a self-taught mode, and every feature of the language is explained lucidly numerical techniques, however, the required formulae for implementing all the techniques have been provided with sufficient detail. Any serious student is expected to be able to learn programming in have been solved to provide ample knowledge of program implementation in various areas of science and engineering, including numerical methods. Programs of all the problems of the Mathematical Physics Lab Courses, under the newly introduced UGC CBCS Physics Honors Curriculum, have been discussed in detail. This book is also possibly the first to discuss the Fortran language and numerical analysis technique in a ‘learn by doing it’ style. Altogether, 170 programs have been written explaining their logic and results of test runs have been supplied to develop the skills necessary to solve more complex problems. Introduction Writing Simple Programs Programs Using Control Statements Programs Using Loops Programs Using Format Statements Programs Using Arrays Programs Using Subprograms and Subroutines Programs for Data File Handling Programs for Complex Numbers Introduction to Numerical Analysis Evaluation of Polynomials Solution of One Variable Non-Linear Equations Solution of Two Variable Non-Linear Equations Evaluation of All Roots of a Polynomial of Degree N Solutions of System of Equations Finding Eight Values and Eigenvectors of a Matrix Solving Interpolation Problem Evaluation of Definite Integrals Evaluation of Derivative of a Function Solutions of First Order Differential Equations Curve Fitting by Least Square Method Calculations of Special Functions Generation and Applications of Random Numbers Miscellaneous Problems List of Programs Appendices Index