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The branch of mathematics dealing with the real numbers and related structures.
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real analysis
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Real analysis — Real function redirects here. For the real part of a complex number, see real part. Real analysis, is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the… … Wikipedia
List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia
Littlewood's three principles of real analysis — are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis. The principlesLittlewood stated the principles in his 1944 Lectures on the Theory of Functions [cite book last=Littlewood first=J. E.… … Wikipedia
Analysis — (from Greek ἀνάλυσις , a breaking up ) 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,… … Wikipedia
analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… … Universalium
Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers … Wikipedia
Real projective line — In real analysis, the real projective line (also called the one point compactification of the real line, or the projectively extended real numbers ), is the set mathbb{R}cup{infty}, also denoted by widehat{mathbb{R and by mathbb{R}P^1.The symbol… … Wikipedia
real — real1 realness, n. /ree euhl, reel/, adj. 1. true; not merely ostensible, nominal, or apparent: the real reason for an act. 2. existing or occurring as fact; actual rather than imaginary, ideal, or fictitious: a story taken from real life. 3.… … Universalium
real — I. adjective Etymology: Middle English, real, relating to things (in law), from Anglo French, from Medieval Latin & Late Latin; Medieval Latin realis relating to things (in law), from Late Latin, real, from Latin res thing, fact; akin to Sanskrit … New Collegiate Dictionary
real — I re•al [[t]ˈri əl, ril[/t]] adj. 1) true; not merely ostensible, nominal, or apparent: the real reason for an act[/ex] 2) actual rather than imaginary, ideal, or fictitious: real events; a story taken from real life[/ex] 3) being actually such;… … From formal English to slang
