Wolfram MathWorld: The Web's Most Extensive Mathematics …
Oct 28, 2024 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
Algebra -- from Wolfram MathWorld
Oct 28, 2024 · Examples of algebras include the algebra of real numbers, vectors and matrices, tensors, complex numbers, and quaternions. (Note that linear algebra, which is the study of linear sets of equations and their transformation properties, is not …
Geometry -- from Wolfram MathWorld
Oct 28, 2024 · Geometry is the study of figures in a space of a given number of dimensions and of a given type. The most common types of geometry are plane geometry (dealing with objects like the point, line, circle, triangle, and polygon), solid geometry (dealing with objects like the line, sphere, and polyhedron), and spherical geometry (dealing with ...
Mathematics -- from Wolfram MathWorld
Oct 28, 2024 · Subject classifications. History and Terminology. Terminology. Foundations of Mathematics. A New Kind of Science. Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined.
Number Theory -- from Wolfram MathWorld
Oct 28, 2024 · Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic," consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function.
Matrix -- from Wolfram MathWorld
Oct 28, 2024 · Matrix. A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, every linear transformation can be represented by a matrix, and every matrix corresponds to a unique linear transformation. The matrix, and its close relative the determinant, are extremely important concepts in linear ...
Gamma Function -- from Wolfram MathWorld
Oct 28, 2024 · The gamma function is implemented in the Wolfram Language as Gamma [z]. There are a number of notational conventions in common use for indication of a power of a gamma functions. While authors such as Watson (1939) use (i.e., using a trigonometric function-like convention), it is also common to write .
cn -- from Wolfram MathWorld
Oct 28, 2024 · Jacobi Elliptic Functions.
List of Courses - Wolfram MathWorld
Oct 28, 2024 · Conic Sections. Exponents and Logarithms. Functions. Vectors. Probability and Statistics. Theory of Computation. Topology. General.
Topology -- from Wolfram MathWorld
Oct 28, 2024 · Topology. Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.