Before Machine Learning Volume 2 - Calculus for A.I: The Fundamental Mathematics for Data Science and Artificial Intelligence

Jorge Brasil

Nov 2024 · Packt Publishing Ltd

About this eBook

Deepen your calculus foundation for AI and machine learning with essential concepts like derivatives, integrals, and multivariable calculus, all applied directly to neural networks and optimization.Key Features

• A step-by-step guide to calculus concepts tailored for AI and machine learning applications
• Clear explanations of advanced topics like Taylor Series, gradient descent, and backpropagation
• Practical insights connecting calculus principles directly to neural networks and data science

Book DescriptionThis book takes readers on a structured journey through calculus fundamentals essential for AI. Starting with “Why Calculus?” it introduces key concepts like functions, limits, and derivatives, providing a solid foundation for understanding machine learning. As readers progress, they will encounter practical applications such as Taylor Series for curve fitting, gradient descent for optimization, and L'Hôpital’s Rule for managing undefined expressions. Each chapter builds up from core calculus to multidimensional topics, making complex ideas accessible and applicable to AI. The final chapters guide readers through multivariable calculus, including advanced concepts like the gradient, Hessian, and backpropagation, crucial for neural networks. From optimizing models to understanding cost functions, this book equips readers with the calculus skills needed to confidently tackle AI challenges, offering insights that make complex calculus both manageable and deeply relevant to machine learning.What you will learn

• Explore the essentials of calculus for machine learning
• Calculate derivatives and apply them in optimization tasks
• Analyze functions, limits, and continuity in data science
• Apply Taylor Series for predictive curve modeling
• Use gradient descent for effective cost-minimization
• Implement multivariable calculus in neural networks

Who this book is for

Aspiring AI engineers, machine learning students, and data scientists will find this book valuable for building a strong calculus foundation. A basic understanding of calculus is beneficial, but the book introduces essential concepts gradually for all levels.

About the author

Jorge Brasil is a mathematician with over a decade of experience in developing and deploying machine learning systems. His books are expertly written in a conversational style with a touch of humor. They are rich in practical applications, enabling readers to not only grasp the concepts but also understand their real-world applications in the field of Data Science.