Overview

In Tensors, Abhay Singh moves beyond the coordinate-heavy catalog of notation to provide a rigorous ""field guide"" to tensor contracts. Whether you are an engineer, a physicist, or a data scientist, this book provides the ""Anubhuti cycle""-a pedagogical framework designed to give you a felt sense of where tensor reasoning is a safe tool and where it is a dangerous What you will learn: The Tensor Contract: Understand the fundamental promise that an object remains invariant even as its representation changes. Slot Inventory: Master the $(p, q)$ type signature to stop making ""slot mistakes"" like treating measurements (covectors) as states (vectors) Real-World Diagnostics: Use a standardized failure taxonomy (P0-P7) to identify type mismatches, transport failures, and ill-conditioning in your models Cross-Domain Transfer: See the same mathematical ""moves"" mirrored across Economics, Finance, Image Processing, and Physics Each chapter includes Embodied Experiments-physical and operational drills designed to install directional intuition-and Falsification Tests to prove your claims wrong quickly Whether you are auditing a covariance matrix, optimizing a supply chain, or building an image filter, Tensors provides the diagnostics and ""contract language"" you need to work with high-dimensional objects safely and effectively.

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