www.pdfstall.online: Computational Physics (Free PDF)

Thursday, July 18, 2019

Computational Physics (Free PDF)

File Size: 4.90 Mb

Description

So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships. But the real reason is that the subject is enjoyable, and although we humans cut nature up in different ways, and we have different courses in different departments, such compartmentalization is really artificial, and we should take our intellectual pleasures where we find them. Richard Feynman, The Laws of Thermodynamics.

Why a preface you may ask? Isn’t that just a mere exposition of a raison d’ˆetre of an author’s choice of material, preferences, biases, teaching philosophy etc.? To a large extent I can answer in the affirmative to that. A preface ought to be personal. Indeed, what you will see in the various chapters of these notes represents how I perceive computational physics should be taught.

This set of lecture notes serves the scope of presenting to you and train you in an algorithmicapproach to problems in the sciences, represented here by the unity of three disciplines, physics, mathematics and informatics. This trinity outlines the emerging field of computational physics.

Content:-

Part I: Introduction to programming and numerical methods

1. Introduction

2. Introduction to C++ and Fortran

3. Numerical differentiation and interpolation

4. Non-linear Equations

5. Numerical Integration

Part II: Linear Algebra and Eigenvalues

6. Linear Algebra

7. Eigensystems

Part III: Differential Equations

8. Differential equations