Tensors: A Field Guide to Tensor Contracts: Beyond the Coordinate Representation

By Abhay Singh

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.

• Format: Paperback
• Language: English
• ISBN: B0GHSHSBD3
• ISBN13: 9798244740004
• Release Date: January 2026
• Publisher: Independently Published
• Length: 100 Pages
• Weight: 0.32 lbs.
• Dimensions: 0.2" x 6.0" x 9.0"