📄️ Vector Functions
In vector calculus, a vector function is a mathematical function that takes one or more variables as input and produces a vector as output. These functions are essential for describing various physical phenomena and are widely used in physics, engineering, and advanced mathematics.
📄️ Differentiation of Vectors
In vector calculus, the differentiation of vectors is a fundamental concept that extends the idea of derivatives from scalar functions to vector-valued functions. This process is crucial for understanding rates of change in multiple dimensions and has wide-ranging applications in physics and engineering.
📄️ Integration of Vectors
Vector integration is a fundamental concept in vector calculus that extends the principles of scalar integration to vector-valued functions. This process is crucial for understanding accumulation and total change in multidimensional systems, with wide-ranging applications in physics, engineering, and advanced mathematics.
📄️ Gradient, Divergence, and Curl
Gradient, divergence, and curl are three fundamental vector operators in vector calculus. These operators are essential for describing and analyzing vector fields, with wide-ranging applications in physics, engineering, and mathematics.
📄️ Line integrals and surface integrals
Line integrals and surface integrals are advanced concepts in vector calculus that extend the idea of integration to curves in space and surfaces. These concepts are crucial for understanding and solving problems in physics, engineering, and mathematics.