"Version: 20180301"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Includes bibliographical references.
3. The Fortran 90 programming language -- 3.1. Compilers -- 3.2. Program layout -- 3.3. Variable declaration -- 3.4. Basic expressions -- 3.5. Input and output -- 3.6. Control structures -- 3.7. Modular programming -- 3.8. Arrays 4. Numerical techniques -- 4.1. Curve fitting--method of least squares -- 4.2. Numerical differentiation -- 4.3. Numerical integration -- 4.4. Matrix operations -- 4.5. Finding roots -- 4.6. Solving ordinary differential equations 5. Problem solving methodologies -- 5.1. General guidelines -- 5.2. Projectile motion example 6. Worksheet assignments -- 6.1. Coding a mathematical expression -- 6.2. Comparing two functions -- 6.3. Bessel functions of the first kind -- 6.4. Logical IF statements -- 6.5. Lead concentration in humans (data analytics) -- 6.6. Nested DO loops and double summations -- 6.7. Ionic crystals -- 6.8. Least-squares fit -- 6.9. Numerical derivatives -- 6.10. Numerical integration -- 6.11. Finding roots of a nonlinear equation -- 6.12. Ordinary differential equations -- 6.13. Projectile in a viscous medium -- 6.14. Damped harmonic oscillator -- 6.15. RLC circuit 7. Homework assignments -- 7.1. Fresnel coefficients -- 7.2. Earth atmosphere model -- 7.3. Magnetic permeability -- 7.4. Maxwell-Boltzmann distribution -- 7.5. Kinetic friction -- 7.6. Compton scattering -- 7.7. Radioactive decay -- 7.8. Halley's comet -- 7.9. Rocket equation -- 7.10. Hydrostatic equilibrium and relativistic stars -- 7.11. Massive stars -- 7.12. Isothermal gas spheres -- 7.13. Proton in constant electric and magnetic fields -- 7.14. Square voltage pulse applied to a RC circuit -- 7.15. Mutual inductance of two coils Appendices. A. Summary of Fortran features -- B. Plotting using Python -- C. Fortran 90 sample program illustrating good programming C. -- 1. The Linux/Unix operating system -- 1.1. Introduction -- 1.2. Files and directories -- 1.3. Overview of Unix/Linux commands -- 1.4. Basic commands -- 1.5. More on the C-shell 2. Text editors -- 2.1. Vi -- 2.2. Emacs
This is an introductory textbook on computational methods and techniques intended for undergraduates at the sophomore or junior level in the fields of science, mathematics, and engineering. It provides an introduction to programming languages such as FORTRAN 90/95/2000 and covers numerical techniques such as differentiation, integration, root finding, and data fitting. The textbook also entails the use of the Linux/Unix operating system and other relevant software such as plotting programs, text editors, and mark up languages such as LaTeX. It includes multiple homework assignments.
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Omair Zubairi received his BS and MS in Physics from San Diego State University. He obtained his PhD in Computational Science from Claremont Graduate University and San Diego State University where he primarily worked on compact star physics. Omair is currently an Assistant Professor of Physics at Wentworth Institute of Technology. His other research interests include general relativity, numerical astrophysics and computational methods and techniques. Fridolin Weber is a Distinguished Professor of Physics at San Diego State University and a Research Scientist at the University of California at San Diego. Dr. Weber has a PhD in theoretical nuclear physics and a PhD in theoretical astrophysics, both from the Ludwig Maximilian University of Munich, Germany. He has published two books, is the author or co-author of almost 200 publications, and has given around 300 talks at conferences and physics schools.