Portal:Analysis

From Wikipedia, the free encyclopedia

Analysis

Nuvola apps kmplot.svg

Analysis is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle, though analysis as a formal concept is a relatively recent development. As a formal concept, the method has variously been ascribed to Ibn al-Haytham, Descartes (Discourse on the Method), Galileo, and Newton, as a practical method of physical discovery.

Selected article

Calculus is a branch of mathematics, developed from algebra and geometry, built on two major complementary ideas.

The first idea, called differential calculus, is about a vast generalization of the slope of a line. It is a theory about rates of change[disambiguation needed], defining differentiation. It permits velocity, acceleration, and the slope of a curve at a given point all to be discussed on a common conceptual basis.

The second idea, called integral calculus, is about a vast generalization of area. It is a theory about accumulation of small, even infinitesimal, quantities, defining integration. Though originally motivated by area, it includes related concepts such as volume and even distance.

The two concepts differentiation and integration define inverse operations in a sense made precise by the fundamental theorem of calculus. Therefore, in teaching calculus either may in fact be given priority, but the usual educational approach (nowadays) is to introduce differential calculus first.

...Archive Read more...

WikiProjects

The Mathematics WikiProject is the center for mathematics-related editing on Wikipedia. Join the discussion on the project's talk page.

WikiProjects

Project pages

Essays

Subprojects

Related projects

Selected picture

QuaternionJuliaWP.png

In complex dynamics, the Julia set of a holomorphic function informally consists of those points whose long-time behavior under repeated iteration of can change drastically under arbitrarily small perturbations. Above is a 3D slice of a 4D Julia set.

...Archive Image credit:Leo Fink Read more...

Did you know?

Categories

Topics in Analysis

General Calculus Differentiation Integration
Functions Harmonic/Fourier analysis Measure theory Miscellaneous

Related portals

Wikimedia

The following Wikimedia Foundation sister projects provide more on this subject:

Wikibooks
Books

Commons
Media

Wikinews 
News

Wikiquote 
Quotations

Wikisource 
Texts

Wikiversity
Learning resources

Wikivoyage 
Travel guides

Wiktionary 
Definitions

Wikidata 
Database

Wikispecies 
Species

Purge server cache

Retrieved from "https://en.wikipedia.org/w/index.php?title=Portal:Analysis&oldid=646958164"
This content was retrieved from Wikipedia : http://en.wikipedia.org/wiki/Portal:Analysis
This page is based on the copyrighted Wikipedia article "Portal:Analysis"; it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA