Python Programming and Numerical Methods. A Guide for Engineers and Scientists

Table of Contents

PART 1 INTRODUCTION TO PYTHON PROGRAMMING

CHAPTER 1 Python Basics

CHAPTER 2 Variables and Basic Data Structures

CHAPTER 3 Functions

CHAPTER 4 Branching Statements

CHAPTER 5 Iteration

CHAPTER 7 Object-Oriented Programming CHAPTER 8 Complexity

CHAPTER 9 Representation of Numbers

CHAPTER 10 Errors, Good Programming Practices, and Debugging

CHAPTER 11 Reading and Writing Data

CHAPTER 12 Visualization and Plotting

CHAPTER 13 Parallelize Your Python

PART 2 INTRODUCTION TO NUMERICAL METHODS

CHAPTER 14 Linear Algebra and Systems of Linear Equations

CHAPTER 15 Eigenvalues and Eigenvectors

CHAPTER 16 Least Squares Regression

CHAPTER 17 Interpolation

CHAPTER 18 Taylor Series

CHAPTER 19 Root Finding

CHAPTER 20 Numerical Differentiation

CHAPTER 21 Numerical Integration

CHAPTER 22 Ordinary Differential Equations (ODEs) Initial-Value Problems

CHAPTER 23 Boundary-Value Problems for Ordinary Differential Equations (ODEs)

CHAPTER 24 Fourier Transform

Authors

Qingkai Kong Assistant Data Science Researcher, University of California, Berkeley. Qingkai Kong is an Assistant Data Science Researcher at the Berkeley Division of Data Sciences and Berkeley Seismology Lab. He has a Master's degree in Structural Engineering and a PhD. in Earth Science. He is actively working on applying data science/machine learning to Earth science and engineering, especially using Python language. Timmy Siauw University of California, Berkeley, USA. Alexandre Bayen Associate Professor, Department of Electrical Engineering and Computer Sciences and the Department of Civil and Environmental Engineering, University of California, Berkeley, USA. Alexandre Bayen is the Liao-Cho Professor of Engineering at UC Berkeley. He is a Professor of Electrical Engineering and Computer Science, and Civil and Environmental Engineering. He is currently the Director of the Institute of Transportation Studies (ITS). He is also a Faculty Scientist in Mechanical Engineering, at the Lawrence Berkeley National Laboratory (LBNL). He received the Engineering Degree in applied mathematics from the Ecole Polytechnique, France, in 1998, the M.S. and Ph.D. in aeronautics and astronautics from Stanford University in 1998 and 1999 respectively. He was a Visiting Researcher at NASA Ames Research Center from 2000 to 2003. Between January 2004 and December 2004, he worked as the Research Director of the Autonomous Navigation Laboratory at the Laboratoire de Recherches Balistiques et Aerodynamiques, (Ministere de la Defense, Vernon, France), where he holds the rank of Major. He has been on the faculty at UC Berkeley since 2005. Bayen has authored two books and over 200 articles in peer reviewed journals and conferences. He is the recipient of the Ballhaus Award from Stanford University, 2004, of the CAREER award from the National Science Foundation, 2009 and he is a NASA Top 10 Innovators on Water Sustainability, 2010. His projects Mobile Century and Mobile Millennium received the 2008 Best of ITS Award for 'Best Innovative Practice', at the ITS World Congress and a TRANNY Award from the California Transportation Foundation, 2009. Mobile Millennium has been featured more than 200 times in the media, including TV channels and radio stations (CBS, NBC, ABC, CNET, NPR, KGO, the BBC), and in the popular press (Wall Street Journal, Washington Post, LA Times). Bayen is the recipient of the Presidential Early Career Award for Scientists and Engineers (PECASE) award from the White House, 2010. He is also the recipient of the Okawa Research Grant Award, the Ruberti Prize from the IEEE, and the Huber Prize from the ASCE.