Mathematics 1001 Richard Elwes Pdf 📌

Mathematics 1001: Absolutely Everything That Matters in Mathematics

• The Infinite Hotel Paradox (Hilbert's Hotel): Elwes uses a hotel with infinitely many rooms to explain the counter-intuitive nature of infinite sets. You learn that infinity plus one still equals infinity, but that some infinities (the number of real numbers) are actually bigger than others (the number of whole numbers).
• The Fourth Dimension Made Simple: Through a series of brilliant diagrams, Elwes shows you that understanding a hypercube (a tesseract) is just like understanding a 3D cube casting a 2D shadow. You leave feeling like you have actually seen four-dimensional space.
• God's Number for Rubik's Cube: He walks through the group theory required to prove that any Rubik's Cube configuration can be solved in 20 moves or fewer. It is a stunning mix of brute-force computing and pure algebra.

: It features numerous illustrations and diagrams to help clarify complex geometric or spatial concepts. Amazon.com Critical Perspectives mathematics 1001 richard elwes pdf

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