Overview

Master the ""Muscle Memory"" of Linear Algebra. In modern engineering-from Machine Learning and NLP to Control Systems and Physics-the ""inner product"" is more than just a dot product; it is the fundamental contract you sign with your data. ""Inner Products"" by Abhay Singh provides a high-impact, operational guide to understanding the geometry, similarity, and stability of the systems you build. Using the unique Anubhuti Cycle, this book moves beyond theoretical math into practical ""muscle memory"" through: Conceptual Spines: Coordinate-free intuition for vectors and geometry. Embodied Experiments: Tactile ""Do/Notice/Install/Break"" exercises using everyday objects. Cross-Domain Transfer: Action patterns applied to Transformers (Attention), Image Processing, Control Costs, and more. Diagnostic Runbooks: A complete index of failure modes (P0-P7) to detect when your geometry is ""lying"" to you. Whether you are an Solutions Architect, an AI researcher, or a systems engineer, this field guide will teach you to diagnose conditioning issues, handle non-Euclidean transport, and master stability accounting. Stop calculating and start sensing the geometry of your work.

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