Analytical Geometry for Machine Learning: Vectors, Transformations, and Spatial Modeling in Applied AI

Analytical geometry forms the mathematical foundation behind modern machine learning systems, enabling models to interpret structure, distance, and transformation in high-dimensional space.

This book presents a structured approach to analytical geometry with a focus on its role in machine learning and applied AI. It develops the core concepts required to understand how vectors, coordinate systems, and geometric transformations operate within data-driven models.

Topics include vector operations, linear transformations, coordinate mappings, and spatial representations used in machine learning workflows. Each concept is explored with practical context, connecting geometric intuition to real-world applications such as feature spaces, embeddings, and model optimization.

Designed for readers with a basic background in mathematics, this book bridges the gap between classical geometry and modern computational systems. It provides a clear framework for understanding how spatial reasoning underpins many of the techniques used in machine learning today.