About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 89. Chapters: Euclidean vector, Gradient, Vector field, Curl, Divergence, Flux, Divergence theorem, Del, Gauss's law, Pseudovector, Advection, Cross product, Stokes' theorem, Surface normal, Bivector, Comparison of vector algebra and geometric algebra, Multipole expansion, Del in cylindrical and spherical coordinates, Gauss' law for gravity, Line integral, Vector-valued function, Matrix calculus, Vector calculus identities, Scalar potential, Triple product, Conservative vector field, Vector spherical harmonics, Green's theorem, Helmholtz decomposition, Field line, Vector field reconstruction, Vector fields in cylindrical and spherical coordinates, Green's identities, Uniqueness theorem for Poisson's equation, Helmholtz's theorems, Vector potential, Concatenation, Solenoidal vector field, Flow velocity, Radiative flux, Gradient theorem, Poloidal toroidal decomposition, Beltrami vector field, Deformation, Parallelogram of force, Complex lamellar vector field, D'Alembert-Euler condition, Surface gradient, Vector operator, Laplacian vector field, Gradient-related, Volumetric flux, Fundamental vector field, Energy flux, Mass flux. Excerpt: In mathematics, a bivector or 2-vector is a quantity in geometric algebra or exterior algebra that generalises the idea of a vector. If a scalar is considered a zero dimensional quantity, and a vector is a one dimensional quantity, then a bivector can be thought of as two dimensional. Bivectors have applications in many areas of mathematics and physics. They are related to complex numbers in two dimensions and to both pseudovectors and quaternions in three dimensions. They can be used to generate rotations in any dimension, and are a useful tool for classifying such rotations. They also are used in physics, tying together a number of otherwise unrelated quantities. Bivectors are generated by the ext...
