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Gödel, Escher, Bach: an Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, the book expounds concepts fundamental to mathematics, symmetry, and intelligence. Through short stories ...
In 2007, MIT OpenCourseWare introduced a site called Highlights for High School that indexes resources on the MIT OCW applicable to advanced high school study in biology, chemistry, calculus and physics in an effort to support US STEM education at the secondary school level. In 2011, MIT OpenCourseWare introduced the first of fifteen OCW ...
Bernoulli number. Agoh–Giuga conjecture; Von Staudt–Clausen theorem; Dirichlet series; Euler product; Prime number theorem. Prime-counting function. Meissel–Lehmer algorithm; Offset logarithmic integral; Legendre's constant; Skewes' number; Bertrand's postulate. Proof of Bertrand's postulate; Proof that the sum of the reciprocals of the ...
MIT Open Learning is a Massachusetts Institute of Technology (MIT) organization, [1] [2] headed by Dimitris Bertsimas, [3] that oversees several MIT educational initiatives, such as MIT Open CourseWare, MITx, [4] MicroMasters, [5] MIT Bootcamps [6] and others.
This organization organized volunteers to translate foreign OpenCourseWare, mainly MIT OpenCourseWare into Chinese and to promote the application of OpenCourseWare in Chinese universities. In February 2008, 347 courses had been translated into Chinese and 245 of them were used by 200 professors in courses involving a total of 8,000 students.
The MU puzzle is a puzzle stated by Douglas Hofstadter and found in Gödel, Escher, Bach involving a simple formal system called "MIU". Hofstadter's motivation is to contrast reasoning within a formal system (i.e., deriving theorems) against reasoning about the formal system itself.
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Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers.