Fundamental theorem of algebra – states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.
Equations – equality of two mathematical expressions
Linear equation – an algebraic equation with a degree of one
outline, algebra, algebra, main, branches, mathematics, covering, study, structure, relation, quantity, algebra, studies, effects, adding, multiplying, numbers, variables, polynomials, along, with, their, factorization, determining, their, roots, addition, wor. Algebra is one of the main branches of mathematics covering the study of structure relation and quantity Algebra studies the effects of adding and multiplying numbers variables and polynomials along with their factorization and determining their roots In addition to working directly with numbers algebra also covers symbols variables and set elements Addition and multiplication are general operations but their precise definitions lead to structures such as groups rings and fields Contents 1 Branches 2 Algebraic equations 3 History 4 General algebra concepts 5 See also 6 External linksBranches EditPre algebra Elementary algebra Abstract algebra Linear algebra Universal algebraAlgebraic equations EditSee also Equation An algebraic equation is an equation involving only algebraic expressions in the unknowns These are further classified by degree Linear equation algebraic equation of degree one Polynomial equation equation in which a polynomial is set equal to another polynomial Transcendental equation equation involving a transcendental function of one of its variables Functional equation equation in which the unknowns are functions rather than simple quantities Differential equation equation involving derivatives Integral equation equation involving integrals Diophantine equation equation where the only solutions of interest of the unknowns are the integer ones History EditHistory of algebraGeneral algebra concepts EditFundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root This includes polynomials with real coefficients since every real number is a complex number with an imaginary part equal to zero Equations equality of two mathematical expressions Linear equation an algebraic equation with a degree of one Quadratic equation an algebraic equation with a degree of two Cubic equation an algebraic equation with a degree of three Quartic equation an algebraic equation with a degree of four Quintic equation an algebraic equation with a degree of five Polynomial an algebraic expression consisting of variables and coefficients Inequalities a comparison between values Functions mapping that associates a single output value with each input value Sequences ordered list of elements either finite or infinite Systems of equations finite set of equations Vectors element of a vector space Matrix two dimensional array of numbers Vector space basic algebraic structure of linear algebra Field algebraic structure with addition multiplication and division Groups algebraic structure with a single binary operation Rings algebraic structure with addition and multiplicationSee also Edit Mathematics portalTable of mathematical symbolsExternal links Edit 4000 Years of Algebra lecture by Robin Wilson at Gresham College 17 October 2007 available for MP3 and MP4 download as well as a text file ExampleProblems com Example problems and solutions from basic and abstract algebra Algebra at Wikipedia s sister projects Definitions from Wiktionary Media from Commons News from Wikinews Quotations from Wikiquote Texts from Wikisource Textbooks from Wikibooks Resources from Wikiversity Retrieved from https en wikipedia org w index php title Outline of algebra amp oldid 1069921852, wikipedia, wiki, book, books, library,
