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El. knyga: First Guide to Computational Modelling in Physics

(University of Wisconsin, Madison), (Wrocaw University of Science and Technology), (Wrocaw University of Science and Technology), Software written by (Wrocaw University of Science and Technology)
  • Formatas: PDF+DRM
  • Išleidimo metai: 08-Feb-2024
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781009413091
  • Formatas: PDF+DRM
  • Išleidimo metai: 08-Feb-2024
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781009413091

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This hands-on text demystifies numerical modelling for early-stage physics and engineering students, with each chapter focusing on an intriguing physics problem. Developed over many years of teaching a computational modelling course, this stand-alone book gives students an essential numerical modelling toolkit for today's data-driven landscape.

This innovative text helps demystify numerical modelling for early-stage physics and engineering students. It takes a hands-on, project-based approach, with each chapter focusing on an intriguing physics problem taken from classical mechanics, electrodynamics, thermodynamics, astrophysics, and quantum mechanics. To solve these problems, students must apply different numerical methods for themselves, building up their knowledge and practical skills organically. Each project includes a discussion of the fundamentals, the mathematical formulation of the problem, an introduction to the numerical methods and algorithms, and exercises, with solutions available to instructors. The methods presented focus primarily on differential equations, both ordinary and partial, as well as basic mathematical operations. Developed over many years of teaching a computational modelling course, this stand-alone book equips students with an essential numerical modelling toolkit for today's data-driven landscape, and gives them new ways to explore science and engineering.

Recenzijos

'Recommended.' J. F. Burkhart, CHOICE

Daugiau informacijos

Early-stage physics and engineering students will take an innovative, project-based approach, teaching them to apply numerical methods.
Preface; How to use this book; First steps;
1. Rectangular finite
quantum well Stationary Schrödinger Equation in 1D;
2. Diffraction of light
on a slit;
3. Pendulum as a standard unit of time;
4. Planetary system;
5.
Gravitation inside a star;
6. Normal modes in a cylindrical waveguide;
7.
Thermal insulation properties of a wall;
8. Cylindrical capacitor;
9. Coupled
harmonic oscillators;
10. The Fermi-Pasta-Ulam problem;
11. Cold hydrogen
star;
12. Rectangular quantum well filled with electrons The idea of
self-consistent calculations;
13. Time dependent Schrödinger Equation Dawid
Dworzaski;
14. Poisson equation in 2D; Appendices; Further Reading; Index.
Pawe Scharoch is a University Professor within the Department of Semiconductor Materials Engineering at Wroclaw University of Science and Technology, Poland. He has also held positions at Durham University, the Fritz Haber Institute, Berlin, and at Orange Labs Poland. His principal work is on structural and electronic properties of atomic systems. Professor Scharoch also has around thirty years of experience in teaching various courses in general physics and computational physics. Maciej Polak holds a Physics Ph.D. from Wrocaw University of Science and Technology and is currently a dedicated researcher at University of Wisconsin-Madison's Department of Materials Science and Engineering. He works on first-principles modeling of the electronic band structure of highly mismatched semiconductors alloys for their use in opto-electronics and metals for space applications devices. With over thirty published peer-reviewed articles, he consistently strives to push the boundaries in scientific exploration. Radosaw Szymon, MSc, graduated with honours from Wrocaw University of Science and Technology in 2022. He is currently pursuing a Ph.D. in semiconductor technology at the same institution, supported by the prestigious Pearl of Science grant. He also enjoys conducting physics simulations, in particular in electromagnetism and quantum mechanics.