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Tensors: A Field Guide to Tensor Contracts: Beyond the Coordinate Representation
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Publisher: Independently Published
Published: Jan 20 2026
Pages: 100
Weight: 0.32
Height: 0.21 Width: 6.00 Depth: 9.00
Language: English
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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