#### Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (12 chapters)
Preface
Basic Packages, Functions, and Concepts
Free Chapter
Mathematical Plotting with Matplotlib
Working with Randomness and Probability
Geometric Problems
Finding Optimal Solutions
Miscellaneous Topics
Other Books You May Enjoy
Working with Data and Statistics

One of the most attractive features of Python for people who need to analyze data is the huge ecosystem of data manipulation and analysis packages, as well as the active community of data scientists working with Python. Python is easy to use, while also offering very powerful, fast libraries, which enables even relatively novice programmers to quickly and easily process vast sets of data. At the heart of many data science packages and tools is the pandas library. Pandas provides two data container types that build on top of NumPy arrays and have good support for labels (other than simple integers). They also make working with large sets of data extremely easy.

Statistics is the systematic study of data using mathematical—specifically, probability—theory. There are two aspects to statistics. The first is to find numerical values that describe a set of data, including characteristics...