Numerical Methods with Python

William Miles

Published by De Gruyter 2023

Numerical Methods with Python

for the Sciences

William Miles

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110776645

Overview
Contents

About this book

Introduces students to appropriate use of computer programming within the scientific disciplines using Python. Discusses several common applications of programming and implementation using real world examples and hands on programming exercises. Students learn how to model situations such as image recognition, medical diagnosis, spread of disease, and others.

The text could be used by students and lecturers for courses in Python, Numerical Methods, or as a first course in Data Science.

Introduces students majoring in the scientific disciplines to programming using Python. Discusses common applications of programming and implementation so that students can see the power and effectiveness of such methods.

Author information

Will Miles received his Ph.D. in Mathematical Sciences from Clemson University in 2003.　 His doctoral thesis focused on mathematical models for multicomponent, viscoelastic fluid flow.　 His work has appeared in multiple journals, including the Journal of Numerical Analysis published by the Society for Industrial and Applied Mathematics (SIAM).　 His love for teaching motivated him to seek a position at a smaller, liberal arts institution, and he took a position at Stetson University shortly after earning his degree.　 He has been at Stetson University since August 2003.　 The University’s focus on undergraduate teaching and research allowed Dr. Miles to turn his efforts toward guiding such projects and engaging with his students in and out of the classroom. While his training is in fluid dynamics, his work with undergraduates has spanned a wide variety of applied fields.　 Many projects have involved statistical analysis, but others focused on numerical methods for differential equations, linear and nonlinear programming, Fourier and wavelet analysis, regression and data analysis, and other topics.　 He has published in refereed journals with undergraduates as authors.　 One project developed a new ranking system for college football and was published in the Journal of Quantitative Analysis in Sports (co-author Gary Fowks).　 Another project created and designed a new measure of a golfer’s tendency to improve (or worsen) his play when under pressure (co-author Sammi Smith).　 This work was accepted to the College Mathematics Journal, a highly competitive journal published by the Mathematical Association of America.　 Organically, he has developed expertise in the Mathematics of Sports.　 While at Stetson, Dr. Miles has mentored more research projects than any other math faculty.　 He has been nominated several times for the university’s highest teaching award, and he has been chosen to serve on grant panel review committees for the National Science Foundation. With two other authors (Dr. L. Coulter and Dr. T. Vogel), he has also published a Python lab manual for the first semester of Calculus.　 He considers himself a man of faith with a great love for his wife and daughter, and he truly cares for his students.

Topics

Frontmatter Publicly Available Download PDF	I
Acknowledgment Publicly Available Download PDF	VII
Contents Publicly Available Download PDF	IX
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2 The basic operations in Python Requires Authentication Unlicensed Licensed Download PDF	3
3 Functions Requires Authentication Unlicensed Licensed Download PDF	11
4 Matrices, vectors, and linear systems Requires Authentication Unlicensed Licensed Download PDF	41
5 Iteration Requires Authentication Unlicensed Licensed Download PDF	71
6 Statistics Requires Authentication Unlicensed Licensed Download PDF	103
7 Regression Requires Authentication Unlicensed Licensed Download PDF	161
A Python code Requires Authentication Unlicensed Licensed Download PDF	209
B Solutions Requires Authentication Unlicensed Licensed Download PDF	249
Index Requires Authentication Unlicensed Licensed Download PDF	313
Index of Python Commands Requires Authentication Unlicensed Licensed Download PDF	315

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students majoring in science at the undergraduate level with a solid understanding of calculus.
Pages
- Front matter: 10
- Main content: 316
Illustrations
- Coloured Illustrations: 50
Keywords: Python; Computer Programming; functional mathematics; regression analysis; linear systems.

eBook

Published: March 6, 2023
ISBN: 9783110776645

Paperback

Published: March 6, 2023
ISBN: 9783110776454