I was gonna have a field day with this, but then I saw the bolded part. There is far more to science and engineering than just physics, but know that calculus, and in particular its extension to differential equations [ordinary, partial, including the nonlinear versions of both], lies at the FOUNDATION of science and engineering. As expressed in several textbooks on the subject, ALL major laws of science are written as and expressed as [possibly systems of] partial differential equations.
I've met plenty of NT's who are weak at math. As one peer told me "many physicists are scared of math, or at least find it pretty dull and want to pass over it as quickly as possible."
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Thread: Are all NTs good at math?

05122010, 11:40 PM #21

05122010, 11:47 PM #22
See, this is when you say "Well, what I *really* meant was higherdimensional generalizations of circles! Now where is my formula for the hypervolume of a sixdimensional hypersphere???"
Why six you may ask??? Well because different theories of superstring theory in theoretical physics have 10, 26, or some other number of dimensions, and we already have accounted for 4 of them [spacetime: x,y,z,t for example], 104=6, and six rolls off of the tongue better than does 22.

05132010, 05:14 AM #23
Let "All generalizations are never right" be A.
A is a generalization.
If A is true, then A, being itself a generalization, is "not right".
So not all generalizations are never right.
Jokes and circular reasoning aside, generalizations are (generally) useful in capturing nonrandom trends with a nonrandom degree of accuracy. The more distinct the trend, the greater the degree the accuracy, and the more useful the generalization.
There are few, if any instances where "All X > Y" in reality. There are almost always exceptions. Again, I say always, because there may, (someday/somewhere/somehow) be an exception to the rule that there will always be an exception. ^_^

05132010, 05:19 AM #24

05132010, 05:19 AM #25
Agreed. I'd like to share my personal perspective as well
I'm an arts student who enjoys history, philosophy and the like, yet I also have always found mathematics and the sciences really interesting. I did math in junior college and I found it fun and intellectually stimulating. I may never physically have to use calculus or trigonometry in real life, but just having an understanding of it has enriched my experience of this awesome universe.

05132010, 05:28 AM #26
Trigonometry studies the relationships between the sides and angles of triangles.
It's very useful when measuring distances, like in geography and astronomy and in satellite systems. It also has a lot of implications on light and sound waves.
Fields that use trigonometry:
astronomy (essential for locating apparent positions of celestial objects)
navigation (on the oceans, in aircraft, and in space)
music theory
acoustics
optics
analysis of financial markets
electronics
probability theory
statistics
biology
medical imaging (CAT scans and ultrasound)
pharmacy
chemistry
number theory (and hence cryptology)
seismology
meteorology
oceanography
many physical sciences
land surveying and geodesy
architecture
phonetics
economics
electrical engineering
mechanical engineering
civil engineering
computer graphics
cartography
crystallography
game development.
Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations.
It is very important in studying things like acceleration, which is the rate of change of speed. It has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.
Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired. It allows one to go from (nonconstant) rates of change to the total change or vice versa, and many times in studying a problem we know one and are trying to find the other.

05132010, 06:30 AM #27
My daughter said this to me last week.
Laurel: Sooner or later, everything ties back to math, doesn't it.

05132010, 07:19 AM #28figsfiggyfigsGuest
Death to Math.

05132010, 07:51 AM #29
Calculus is rediculously useful in all areas of science, differential equations are used in chemistry, biology, quantum mechanics, electronics, motion etc. Multivariable Calculus just about defines Electromagnetism and both of these subjects require a decent understanding of Algebra and Calculus. There are pure mathematics majors who are paid a lot of money to solve problems that are too difficult for the typical scientist (who very often have mathematics background just so they can communicate with mathmagicians!), there are also people who have specialized in using computers to work out mathematical problems that are insanely far beyond our human limits.
So, they may teach those mathematics during high school so that you can at least talk to people in your field who are qualified to handle such things. I mean, hey, when you go buy a computer or a car, you don't blindly walk in and rely on the salesperson, do ya? (okay, a lot of people probably do that...).
The only thing I don't like about maths, is that it can involve an extreme amount of repeditive calculations (like some I did today in fact), or you'll be given a whole shitload of incomprehensible theorems and terminology and expected to just work out what to do with them (which happens to me every single monday :steam5 3 9

05132010, 08:37 AM #30
The percentage of NTs who are fairly good at math is larger than the percentage of people who are fairly good at math from the population in general. However there are quite a few NTs who are not particularly good at math.
The two most useful subjects you can study in college are Calculus and Freshman Composition. The first class is the key to unlocking so many fields of knowledge. The second class teaches you to communicate what you know effectively. Any person who has mastered both subjects really has a ton of opportunity ahead of them.My wife and I made a game to teach kids about nutrition. Please try our game and vote for us to win. (Voting period: July 14  August 14)
http://www.revoltingvegetables.com
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