This 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.

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Spis treści

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

• 1. Why Calculus?
• 2. Pointing Fingers and Crossing Lines: The last breath of just linearity
• 3. Changing Times and Tangent Lines: The Derivative
• 4. Cleaning Up The Derivatives Debris: The Integral
• 5. A Free Upgrade: More Dimensions