Book Image

A Handbook of Mathematical Models with Python

By : Dr. Ranja Sarkar
Book Image

A Handbook of Mathematical Models with Python

By: Dr. Ranja Sarkar

Overview of this book

Mathematical modeling is the art of transforming a business problem into a well-defined mathematical formulation. Its emphasis on interpretability is particularly crucial when deploying a model to support high-stake decisions in sensitive sectors like pharmaceuticals and healthcare. Through this book, you’ll gain a firm grasp of the foundational mathematics underpinning various machine learning algorithms. Equipped with this knowledge, you can modify algorithms to suit your business problem. Starting with the basic theory and concepts of mathematical modeling, you’ll explore an array of mathematical tools that will empower you to extract insights and understand the data better, which in turn will aid in making optimal, data-driven decisions. The book allows you to explore mathematical optimization and its wide range of applications, and concludes by highlighting the synergetic value derived from blending mathematical models with machine learning. Ultimately, you’ll be able to apply everything you’ve learned to choose the most fitting methodologies for the business problems you encounter.
Table of Contents (16 chapters)
Part 1:Mathematical Modeling
Part 2:Mathematical Tools
Part 3:Mathematical Optimization

Part 1:Mathematical Modeling

In this part, you will get to know the theory behind mathematical modeling. You will be introduced to the concepts of a mathematical model and how they are relevant in solving a business problem. A mathematical model relies heavily on domain knowledge, the objective of the business case formulated into a mathematical problem, and constraints in the context, while a machine learning (statistical) model relies on data. Mathematical modeling is complementary to machine learning; for some use cases, one is enough, whereas a few others need a blend of the two.

This part has the following chapters:

  • Chapter 1, Introduction to Mathematical Modeling
  • Chapter 2, Machine Learning vis-à-vis Mathematical Modeling