method of mathematical induction

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• Mathematical induction — can be informally illustrated by reference to the sequential effect of falling dominoes. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers (positive… …   Wikipedia

• Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …   Wikipedia

• induction — [in duk′shən] n. [OFr < L inductio] 1. an inducting or being inducted; installation, initiation, etc. 2. Archaic an introduction; preface or prelude 3. an inducing, or bringing about 4. a bringing forward of separate facts or instances, esp.… …   English World dictionary

• Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

• Induction — Most common meanings * Inductive reasoning, used in science and the scientific method * Mathematical induction, a method of proof in the field of mathematics * Electromagnetic induction in physics and engineering Other articles * Induction (play) …   Wikipedia

• induction — inductionless, adj. /in duk sheuhn/, n. 1. the act of inducing, bringing about, or causing: induction of the hypnotic state. 2. the act of inducting; introduction; initiation. 3. formal installation in an office, benefice, or the like. 4. Logic.… …   Universalium

• Method of distinguished element — Distinguished element redirects here. For sets with pre defined distinguished elements, see Pointed set. In enumerative combinatorial mathematics, identities are sometimes established by arguments that rely on singling out one distinguished… …   Wikipedia

• Induction — • Induction is the conscious mental process by which we pass from the perception of particular phenomena (things and events) to the knowledge of general truths Catholic Encyclopedia. Kevin Knight. 2006. Induction     Induction …   Catholic encyclopedia

• Mathematical jargon — The language of mathematics has a vast vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject. Jargon often appears in… …   Wikipedia

• Chakravala method — The chakravala method (Hindi: चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell s equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE)[1][2] although some attribute it to Jayadeva (c …   Wikipedia

• List of mathematical logic topics — Clicking on related changes shows a list of most recent edits of articles to which this page links. This page links to itself in order that recent changes to this page will also be included in related changes. This is a list of mathematical logic …   Wikipedia