...different branches of mathematics?

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Answer by Dave
Submitted on 1/13/2004
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My first post got messed up. I would be happy to explain what some of these branches are. I know more about some branches than others. Here is a fairly comprehensive list of the branches of Mathematics: 1. Foundations -Logic & Model Theory -Computability Theory & Recursion Theory -Set Theory -Category Theory 2. Algebra -Group Theory -> Symmetry -Ring Theory -> Polynomials -Field Theory -Module Theory -> Linear Algebra -Galois Theory -> The Theory of Equations -Number Theory -Combinatorics -Algebraic Geometry 3. Mathematical Analysis -Real Analysis & Measure Theory -> Calculus -Complex Analysis -Tensor & Vector Analysis -Differential & Integral Equations -Numerical Analysis -Functional Analysis & The Theory of Functions 4. Geometry & Topology -Euclidean Geometry -Non-Euclidean Geometry (Hyperpolic & Elliptic) -Absolute Geometry -Metric Geometry -Projective Geometry -Affine Geometry -Discrete Geometry & Graph Theory -Differential Geometry -Point-Set or General Topology -Algebraic Topology 4. Applied Mathematics -Probability Theory -Statistics -Computer Science -Mathematical Physics -Game Theory -Systems & Control Theory

Answer by EINSTEIN
Submitted on 3/25/2006
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Mathematical Analysis: The essential ingredient of analysis is the use of infinite processes, involving passage to a limit. For example, the area of a circle may be computed as the limiting value of the areas of inscribed regular polygons as the number of sides of the polygons increases indefinitely. The basic branch of analysis is the calculus. The general problem of measuring lengths, areas, volumes, and other quantities as limits by means of approximating polygonal figures leads to the integral calculus. The differential calculus arises similarly from the problem of finding the tangent line to a curve at a point. Other branches of analysis result from the application of the concepts and methods of the calculus to various mathematical entities. For example, vector analysis is the calculus of functions whose variables are vectors. Here various types of derivatives and integrals may be introduced. They lead, among other things, to the theory of differential and integral equations, in which the unknowns are functions rather than numbers, as in algebraic equations. Differential equations are often the most natural way in which to express the laws governing the behavior of various physical systems. Calculus is one of the most powerful and supple tools of mathematics. Its applications, both in pure mathematics and in virtually every scientific domain, are manifold.

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Question by jane
Submitted on 10/4/2003
Related FAQ: sci.math FAQ: e^(i Pi) = -1 Euler's formula
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what are the different branches of mathematics?

Answer by dfullerton
Submitted on 11/10/2003
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Algebra Trigonometry Calculus Differential Equations Transformations

Answer by atchius
Submitted on 12/19/2003
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arithmetic algebra geometry calculus and then some more stuff i haven't learned about.

Answer by ace
Submitted on 12/28/2003
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algebra trigonometry differential calculus integral calculus differential equations analysis analytic geometry plane geometry solid geometry statistics

Answer by wendi
Submitted on 1/2/2004
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to add onto ace's answer... topology, which includes knot theory and such discrete mathematics number theory - includes analysis...like complex, numberical, etc etc euclidean geometry graph theory algebra - includes Combinatorics there are really too many to list...and they are all so interesting.

Answer by Dave
Submitted on 1/11/2004
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I forgot to mention Probability and Statistics; I guess I would make a seperate section for them. Also Differential Geometry should go under Geometry and Topology. Number Theory should go under Algebra, but part of Number Theory also uses techniques from Analysis. Model Theory should go with Logic. Then there are branches wich are a mixture of other branches, like Algebraic Geometry and K-Theory.

Answer by maverick
Submitted on 1/28/2004
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I know nothing about the branches of mathematics.

Answer by maverick sucks
Submitted on 4/19/2004
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Then don't post maverick.

Answer by Riemann
Submitted on 6/24/2004
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Algebra Geometry Analytic Geometry Trigonometry Spherical Geometry Hyberbolic Geometry Differencial Calculus Integral Calculus Topology Number Theory Logic Differencial Equations Group Theory Set Theory Elliptic Functions Modular Forms

Answer by John Mata
Submitted on 9/12/2004
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Arithmetic Algebra Geometry Analytical Geometry Differential Calculus Trigonometry Differential Equations Matrix Algebra Number Theory Boolean Algebra

Answer by ****
Submitted on 10/30/2004
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I don't know about these and besides I don't care about these...

Answer by bill guinness
Submitted on 11/5/2004
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arithmetic/number theory geometry algebra analysis the above four have many branches over 5000 the last I checked.

Answer by ty
Submitted on 11/21/2004
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Dont middle

Answer by Jray
Submitted on 2/16/2005
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Algebra Geometry logic addition multiplacation division

Answer by Muriel
Submitted on 3/30/2005
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geometry trigonometry algebra arithmetic analysis foundations transformation topology calculus statistics basic mathematics

Answer by Sandy
Submitted on 4/5/2005
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the different branches of mathematics, according to my memory and my uncle, Einstein, are: counting, enumerating, calcifying, The-deucing, and most especially, and my favorite subject, is Geometer.

Answer by myrddyn
Submitted on 11/21/2005
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What happened to arithmetic? You know Basic Mathematics. A branch of mathematics that deal with addition, subtraction, multiplication, and division.

Answer by walay grado
Submitted on 6/6/2006
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wala koy answer ayaw pagboot...walay eskwelahay mag online games na lng tang tanan!!! wahahahah...mabuhay ang mga ADIK ^_^

Answer by nins
Submitted on 6/19/2006
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Basta ayokong magsalita gusto ko lang mai post ung name ko ano!!!!!!!

Answer by JOHN GAI KUICH
Submitted on 3/30/2005
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i wish so to interfere my ideology to mathematical theory

Answer by laila
Submitted on 6/12/2005
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arithmethic,algebra,goemetry,calculus,trigonometry,topology

Answer by Simple Man
Submitted on 7/29/2005
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Arithmetic Set Theory Algebra Geometry Trigonometry Transcendental Functions Graphical Analysis Differential Calculus Integral Calculus Infinite Series Differential Equations Partial Differential Equations Multi-variable Calculus (Differential and Integral) Linear Algebra Analytic Geometry (Complex) Analytic Number Theory Probability and Statistical Inference Fractal Analysis All of these include both Real and Complex categories.

Answer by Hi
Submitted on 9/29/2005
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crap head

Answer by jennalyn
Submitted on 10/13/2005
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ALGEBRA GEOMETRY

Answer by kk
Submitted on 11/27/2005
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trigonometry was nina bari's branch of mathematics:)

Answer by jummie
Submitted on 12/16/2005
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Algebra Geometry Analytic Geometry Trigonometry Spherical Geometry Hyberbolic Geometry Differencial Calculus Integral Calculus Topology Number Theory Logic Differencial Equations Group Theory Set Theory Elliptic Functions Modular Forms

Answer by Basketball_Bossett
Submitted on 12/19/2005
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Perfect 5 main ideas for branches of mathematics!For 7th - 8 th graders. Arithmetic Algebra Analysis Geometry Applied Mathematics

Answer by tae
Submitted on 12/21/2005
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what are the 5 branches of mathematics?

Answer by liljuv313
Submitted on 1/2/2006
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what branch does divisions subtraction addition and multiply

Answer by student
Submitted on 1/31/2006
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metric geometry affine geometry absolute geometry co ordinate geometry

Answer by Steven
Submitted on 2/18/2006
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Arithmetic Algebra Geometry Calculus Triology Topology Trigonometry

Answer by Einstein
Submitted on 3/5/2006
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Atom Bomb Theory

Answer by Spirit Ocean11 a.k.a Henka11
Submitted on 4/17/2006
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Statistics

Answer by angelina
Submitted on 6/6/2006
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the branches of mathematics are:- trigonometry statistics geometry algebra foundations analysis mensuration topology calculus

Answer by rusty
Submitted on 6/8/2006
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Branches of Mathematics: -Foundation -Applied Mathematics -Algebra -Geometry

Answer by annalyn
Submitted on 6/15/2006
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calculus foundation different equation algebra trigonometry geometry logic

Answer by billybob
Submitted on 9/13/2006
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what's the most advanced one?

Answer by abhi
Submitted on 10/10/2006
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algebra arithmetics geometry set theory statistics

Answer by abelsco
Submitted on 10/19/2006
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What is the branches of mathematics