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OpenStax textbooks follow a traditional peer review process aimed at ensuring they meet a high quality standard before publication. Textbooks are developed and peer-reviewed by educators in an attempt to ensure they are readable and accurate, meet the scope and sequence requirements of each course, are supported by instructor ancillaries, and are available with the latest technology-based ...
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.
lambda-calculus A formal system in mathematical logic and computer science for expressing computation based on function abstraction and application, using variable binding and substitution. Lambek calculus A mathematical system for modeling the syntax of natural languages, based on categorial grammar, emphasizing the role of operations and types.
Connexions, later known as OpenStax CNX [1] was a global repository of educational content provided by volunteers. The open source platform was provided and maintained by OpenStax, which is based at Rice University. The collection was available free of charge, can be remixed and edited, and was available for download in various digital formats. [2]
Advanced Placement (AP) Calculus (also known as AP Calc, Calc AB / BC, AB / BC Calc or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board. AP Calculus AB covers basic introductions to limits, derivatives, and integrals.
One of the most powerful generalizations in this direction is the generalized Stokes theorem (sometimes known as the fundamental theorem of multivariable calculus): [13] Let M be an oriented piecewise smooth manifold of dimension n and let be a smooth compactly supported (n − 1)-form on M.
[1] Stress expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the relative deformation of the material. [ 3 ] For example, when a solid vertical bar is supporting an overhead weight , each particle in the bar pushes on the particles immediately below it.
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.