**I’ve been trying to track down factual information on Aspergers and math ability, but what I find is the usual repetition of rumor: Most Aspies are average, many are math impaired, and a few are geniuses. Well that’s informative!**

The old stereotype persists. Aspergers are male engineers (oxymoron), so Aspergers are good at math. Now that female Aspergers have been discovered, another stereotype problem arises: girls aren’t good at math, so…..

What is overlooked is that there are many math languages; which math language are we talking about?

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##### Two favorite oft-repeated rumors that circulate about La Femme Aspie

*Girls will have special interests but instead of building up an incredible wealth of knowledge on subjects like trains or dinosaurs – like boys with Asperger’s might – they tend to like the same things as neurotypical girls their age, albeit in a more focused way. **For example, a young girl with Asperger’s might make it her business to collect all of the outfits that Barbie has ever worn.*

*Women and girls can find it easier to mask their difficulties, making the condition harder to recognise. Really? *This to me is a big fat lie. If you are a female who varies in any miniscule way from “normal” girls, you are picked on, shunned, teased and shamed by kids and adults for being a Tomboy, unladylike, uncivilized, and a monster of sorts. One is consistently admonished

**that no male will ever marry you,**as if the continuation of life on earth depends on every last female being shackled to an “owner, guardian, godlike, adult male.”

*But,*w

*hether or not you’ve been officially recognized Asperger, you still get the hostile treatment.*

**The truth is, a lot more men have accepted my “Aspergerness” than have females. **

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## The list of topics in mathematics is GINORMOUS. Links are live.

## Branches of Mathematics

**Foundations**

The term *foundations* is used to refer to the formulation and analysis of the language, axioms, and logical methods on which all of mathematics rests (see __logic__; __symbolic logic__). The scope and complexity of modern mathematics requires a very fine analysis of the formal language in which meaningful mathematical statements may be formulated and perhaps be proved true or false. Most apparent mathematical contradictions have been shown to derive from an imprecise and inconsistent use of language. A basic task is to furnish a set of __axioms__ effectively free of contradictions and at the same time rich enough to constitute a deductive source for all of modern mathematics. The modern axiom schemes proposed for this purpose are all couched within the theory of __sets__, originated by Georg Cantor, which now constitutes a universal mathematical language.

**Algebra**

Historically, __algebra__ is the study of solutions of one or several algebraic equations, involving the __polynomial__ functions of one or several variables. The case where all the polynomials have degree one (systems of linear equations) leads to linear algebra. The case of a single equation, in which one studies the roots of one polynomial, leads to field theory and to the so-called Galois theory. The general case of several equations of high degree leads to algebraic geometry, so named because the sets of solutions of such systems are often studied by geometric methods.

Modern algebraists have increasingly abstracted and axiomatized the structures and patterns of argument encountered not only in the theory of equations, but in mathematics generally. Examples of these structures include __groups__ (first witnessed in relation to symmetry properties of the roots of a polynomial and now ubiquitous throughout mathematics), __rings__ (of which the integers, or whole numbers, constitute a basic example), and __fields__ (of which the rational, real, and complex numbers are examples). Some of the concepts of modern algebra have found their way into elementary mathematics education in the so-called new mathematics.

Some important abstractions recently introduced in algebra are the notions of category and functor, which grew out of so-called homological algebra. __Arithmetic__ and __number theory__, which are concerned with special properties of the integers—e.g., unique factorization, primes, equations with integer coefficients (Diophantine equations), and congruences—are also a part of algebra. Analytic number theory, however, also applies the nonalgebraic methods of analysis to such problems.

**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.

**Geometry**

The shape, size, and other properties of figures and the nature of space are in the province of geometry. Euclidean __geometry__ is concerned with the axiomatic study of polygons, conic sections, spheres, polyhedra, and related geometric objects in two and three dimensions—in particular, with the relations of congruence and of similarity between such objects. The unsuccessful attempt to prove the “parallel postulate” from the other axioms of Euclid led in the 19th cent. to the discovery of two different types of __non-Euclidean geometry__.

The 20th cent. has seen an enormous development of __topology__, which is the study of very general geometric objects, called topological spaces, with respect to relations that are much weaker than congruence and similarity. Other branches of geometry include algebraic geometry and __differential geometry__, in which the methods of analysis are brought to bear on geometric problems. These fields are now in a vigorous state of development.

**Applied Mathematics**

The term *applied mathematics* loosely designates a wide range of studies with significant current use in the empirical sciences. It includes numerical methods and __computer__ science, which seeks concrete solutions, sometimes approximate, to explicit mathematical problems (e.g., differential equations, large systems of linear equations). It has a major use in technology for modeling and simulation. For example, the huge __wind tunnels__, formerly used to test expensive prototypes of airplanes, have all but disappeared. The entire design and testing process is now largely carried out by computer simulation, using mathematically tailored software. It also includes mathematical physics, which now strongly interacts with all of the central areas of mathematics. In addition, __probability__ theory and mathematical __statistics__ are often considered parts of applied mathematics. The distinction between pure and applied mathematics is now becoming less significant.

**Sections in this article:**

__Introduction__- Branches of Mathematics
__Development of Mathematics____Bibliography__

*The Columbia Electronic Encyclopedia,* 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.

Addition, subtraction; simple multiplication. And some division (I mean basic stuff)

Beyond these; everything is Cryptic googoo-gaagaa.

My schooling years were hell!

I even doubted if I had Aspergers because I believed the myths (at the time)

The Myths can be dangerous. It can add to ones sense of “not belonging” and intensify the depression many of us have from being treated like crap by neurotypicals (double whammy)

There’s an obsession with crass over-simplicity; making everything binary.

When so many things are on a spectrum (of sorts).

Good post.

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In a strange way we’re invisible; people treat us like crap, but don’t recognize that we’re ALIVE.

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