Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms

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ISBN10: 6188845807
ISBN13: 9786188845800
Publisher: Thanasis Efthymiou
Published: May 4 2026
Pages: 170
Weight: 0.45
Height: 0.36 Width: 5.50 Depth: 8.50
Language: English

Vector calculus is often taught as a collection of formulas and techniques. Yet behind the operators grad, curl, and div lies a deeper unity.

This book presents calculus through the geometry of differential forms, showing that its core concepts arise from a few fundamental principles: orientation, antisymmetry, and change. Through a gradual and structured development, the reader is guided from vectors to a unified theory that connects algebra, geometry, and physics.

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