Some equations have letters on each side of the equals sign, for example: \(4(k + 7) = 12k - 4\). Solve this equation by rearranging all the letters onto one side of the equation and all numbers onto ...

Description: An introduction to mathematics in more than two dimensions. Graphing of curves, surfaces and functions in three dimensions. Two and three dimensional vector spaces with vector operations.

Description There are five main sections: Algebra (vectors, complex numbers, matrices as transformations, solving equations using matrices, eigenvalues and eigenvectors); Analysis (Sequences, series, ...

Description There are five main sections: Algebra (vectors, complex numbers, matrices as transformations, solving equations using matrices, eigenvalues and eigenvectors); Analysis (Sequences, series, ...

We derive midpoint criteria for solving Pell's equation x² - Dy² = ±1, using the nearest square continued fraction expansion of $\sqrt D $ . The period of the ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...