dynamical system.

There used to exist a "top 100" of mathematical theorems on the web, which is a rather arbitrary list (and most of the theorems seem rather elementary), but still is nice to look at. The theorems listed are truly among the most interesting results in mathematics. The implications of this one theorem are huge for epistemology and computer science. I don’t think I use partially ordered sets consciously. So I have been thinking about which ideas in mathematics I use most often and I have listed them below.

rebelrubel says: November 17, 2013 at 5:53 am. On the current page I will keep track of which theorems from this list have been formalized. model

In 1999, they set forth on the arduous journey of generating the list of the 100 Greatest Theorems.

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To me that is one of the beautiful things of my subject. Below is their top 12. For example: http://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra, Also, there is a sort of taxonomy that is implicit. What did they come up with? I’d add: proof With that being said, I guess there is no point in anyone ever trying to construct a list, right? The implications of this one theorem … © Musings on Math, 2010 – 2018. 2 Responses to The 100 Greatest Theorems of Mathematics. Might be buried in there, as there is a lot in there, but a basic math bit is factors.

I missed Pi !!

The rest I rarely use despite the fact that I am a mathematician and an engineer. Vance wrote; “I ran through the list very quickly. Mathematicians were not immune, and at a mathematics conference in July, 1999, Paul and Jack Abad presented their list of "The Hundred Greatest Theorems."

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The theorems listed are truly among the most interesting results in mathematics. Talk to other math people and you will probably get a completely different dozen.

( Log Out /  Please feel free to comment because I would like to use this list as a starting point for a future list of “The most useful ideas in Mathematics for Scientists and Engineers”. Formalizing 100 Theorems. What do you think? Enter mathematicians Jack and Paul Abad. And, depending on my mood, I could claim any one of a dozen theorems to be the greatest.

optimization Excerpts and links may be used, provided that full and clear credit is given to Musings on Math at http://musingsonmath.com with appropriate and specific direction to the original content. Filed under Math and Education, Math and History, Miscellaneous Math hundalhh says: January 10, 2014 at 8:09 am. November 27, 2012 in Math by hundalhh | 6 comments.

Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Hopefully we can post his list as well as others. Currently the fraction that already has been formalized seems to be algorithm graph There is a long list of mathematical ideas that I use less often.

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For the complete list, click here. Here’s a sampling: circumference, area, and volume formulas for circles, rectangles, parallelograms, triangles, spheres, cones, the number e and the exponential function, injective (one-to-one) / surjective (onto) functions, convolution in time domain is the product in the frequency domain, Seven Links for the History of Mathematical Proof, Mathematical Concepts I use (almost) every week, r = 1 – cos(101 theta/100) – 1/5 cos(8 theta), Review: “Basic Category Theory for Computer Scientists”, An ODE, Orthogonal Functions, and the Chebyshev Polynomials, Deriving the Gaussian Distribution from the Sterling Approximation and the Central Limit Theorem, “Matrix identities as derivatives of determinant identities”. As a student, I thought Godel’s Incompleteness Theorem was both surprising and interesting. The millenium seemed to spur a lot of people to compile "Top 100" or "Best 100" lists of many things, including movies (by the American Film Institute) and books (by the Modern Library).

( Log Out /  partially ordered set Math Reviews? Enjoy the debate! Many of these items are at a different level from others. I showed this list to Carl and he said his list would be completely different.

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And basic geometry needs to be in there somehow. Pi should probably be clearly stated. 100 Most useful Theorems and Ideas in Mathematics. Change ). So for example, Calculus, Geometry, Algebra are high level nodes.”, antianticamper , 2 Comments. fractal (He choked a bit when he saw primes at #70.) In fact, there are probably as many different opinions as there are theorems.

I may have to add ‘dynamical systems’ because I do a little control theory. Interesting list, especially since geometry plays a distinctly secondary role. Nor do I use Topological sorting much. Did they get it right? The theorems I actually use are #2 FTOA, #4 Pythagorean, and #9 area of circle. As a mathematics teacher, I am often asked what I believe is the single greatest theorem in all of mathematics. Change ), You are commenting using your Twitter account. The Irrationality of the Square Root of 2, The Denumerability of the Rational Numbers, The Independence of the Parallel Postulate, the place the theorem holds in literature. ( Log Out / 

‹ History of Compressed Sensing  •  Matroids ›, November 27, 2012 in Math by hundalhh | 6 comments, antianticamper on November 27, 2012 at 2:30 pm. Tagged with 100 Greatest Theorems, mathematical theorems, top 100 theorems, top theorems. I would suggest looking for that taxonomy. Not really.

October 26, 2011

I really need to add “the idea of mathematical proof” and ‘the definition of algorithm”. I do find it strange how infrequently I actually use the 12 theorems above directly. This is only a draft, so I expect to make a number of revisions over the next few days. As a student, I thought Godel’s Incompleteness Theorem was both surprising and interesting. This includes all written materials. Hmm. Please feel free to comment because I would like to use this list as a starting point for a future list of “The most useful ideas in Mathematics for Scientists and Engineers”. So I have been thinking about which ideas in mathematics I use most often and I have listed them below.

This is a very good list.

seem pretty important. I am sure there are items missing. (forgot that), http://onehappybird.com/2012/12/03/whats-the-most-important-theorem/, tropicalbats on August 18, 2013 at 11:03 pm. Change ), You are commenting using your Google account. In making the list, they used 3 criteria. And maybe I missed it, but the ordinal rules for doing a calculation (as in, things in parentheses get done first, etc.) Change ), You are commenting using your Facebook account.

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