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A Handbook of Mathematical Models with Python

A Handbook of Mathematical Models with Python

By : Ranja Sarkar, Dr. Ranja Sarkar
4.1 (7)
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A Handbook of Mathematical Models with Python

A Handbook of Mathematical Models with Python

4.1 (7)
By: Ranja Sarkar, 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)
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1
Part 1:Mathematical Modeling
4
Part 2:Mathematical Tools
11
Part 3:Mathematical Optimization

Epilogue

This book was primarily targeted at data scientists early in their careers. It was assumed that readers of this book have knowledge of linear algebra and the basics of statistics, differential equations, fundamental numerical algorithms, data types, and data structures. Having said that, it must be realized that transforming a business problem into a mathematical formulation is an art.

While exploring the world of data science, it is important to understand the relevance of classical mathematical models and how they can be utilized along with ML models to solve business problems, often complex ones. Hybrid (blended) models enable better decision-making and become particularly essential for high-stake decisions in sensitive domains. Mathematical optimization typically elevates an ML model for the best interpretation of the connection between decision variables and relevant data and business objectives and of the optimal solution to the business problem. Nevertheless, simpler...

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