Introduction to Modern Math
Entering into the world of Modern Mathematics can be extremely daunting when done alone and unguided. This is a four-part course designed to initiate the student with an in depth look at two of the most important and impactful texts: "Elements" by Euclid and "Disquitiones Arithmeticae" by Carl Friedrich Gauss. These two texts have changed what mathematics is, as a subject, and demonstrate to the student why mathematics requires such rigorous logical pre-requisites. The second two courses are these logical pre-requisites to any study of Modern Mathematics: Naive Set Theory and First Order Logic & Model Theory. Any student who completes these four courses is ready to begin their journey into Modern Mathematics.
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Intro to Modern Math I: Euclid's Elements
CourseBegin your journey into Modern Mathematics by starting at the foundations where it all began. Euclid's Elements is unrivaled in it's influence on math and logic. Learn about the Axiomatic Method, proofs, and geometry and train your mind to think.
$100
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Intro to Modern Math II: Modular Arithmetic (Gauss' Disquitiones)
CourseEnter into the world of "Modern Mathematics" created by Gauss, where we study "structures" instead of objects and we reveal the hidden particularities of objects by separating syntax from semantics. This builds on part 1 of the four part course.
$100
