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

Efthymiou, Thanasis

 
9786188845800: Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms

Synopsis

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.It is intended for those who seek not only to compute, but to understand in depth the structure of space and the nature of calculus.

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9786188845862: Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms

Edition présentée

ISBN 10 :  6188845866 ISBN 13 :  9786188845862
Editeur : Thanasis Efthymiou, 2026
Couverture rigide