This repository contains a comprehensive cheatsheet for Vector Calculus, designed in LaTeX. It is a unified reference covering everything from basic vector algebra and tensor notation to advanced differential geometry and fundamental integral theorems.
Main Topics:
- Tensor Algebra and Index Notation (Einstein Summation, Levi-Civita).
- Coordinate Systems, Transformations, and Differential Geometry (Frenet-Serret).
- Differential Calculus, Optimization, and Differential Operators (
$\nabla$ ) in multiple coordinate systems. - Integral Theorems (Green, Stokes, Gauss) and Physical Applications (Maxwell's Equations).
Este repositorio contiene un formulario exhaustivo de Cálculo Vectorial diseñado en LaTeX. Es una referencia unificada que abarca desde álgebra vectorial básica y notación tensorial hasta geometría diferencial avanzada y los teoremas integrales fundamentales.
Contenido Principal:
- Álgebra Tensorial y Notación de Índices (Suma de Einstein, Levi-Civita).
- Sistemas de Coordenadas, Transformaciones y Geometría Diferencial (Frenet-Serret).
- Cálculo Diferencial, Optimización y Operadores Diferenciales (
$\nabla$ ) en múltiples sistemas de coordenadas. - Teoremas Integrales (Green, Stokes, Gauss) y Aplicaciones Físicas (Ecuaciones de Maxwell).
Material in part based on the lecture notes of Jeffrey R. Chasnov. Compiled, expanded, and designed by Roberto León Landeros.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.