What is...reverse mathematics? скачать в хорошем качестве

What is...reverse mathematics?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...reverse mathematics? Or: Thinking backwards. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html Reverse mathematics. https://en.wikipedia.org/wiki/Reverse... https://press.princeton.edu/books/har... https://en.wikipedia.org/wiki/Reverse... https://www.ams.org/journals/notices/... Euclidean geometry. https://en.wikipedia.org/wiki/Euclide... https://mathworld.wolfram.com/Euclids... Triangles, playfair and the parallel postulate. https://en.wikipedia.org/wiki/Sum_of_... https://en.wikipedia.org/wiki/Playfai... https://en.wikipedia.org/wiki/Paralle... https://mathworld.wolfram.com/Paralle... Non-Euclidean geometry. https://en.wikipedia.org/wiki/Non-Euc... Spherical geometry. https://en.wikipedia.org/wiki/Spheric... https://en.wikiversity.org/wiki/Ideas... http://www.users.miamioh.edu/gaddisj/... Hyperbolic geometry. https://en.wikipedia.org/wiki/Hyperbo... https://mathworld.wolfram.com/Hyperbo... https://mathimages.swarthmore.edu/ind... Peano and co. https://googology.wikia.org/wiki/User... https://en.wikipedia.org/wiki/First-o... https://en.wikipedia.org/wiki/Second-... Brouwer and Jordan. https://en.wikipedia.org/wiki/Brouwer... Mathematica. https://demonstrations.wolfram.com/Th... Pictures used. https://modulouniverse.com/2015/02/23... https://math.stackexchange.com/questi... https://en.wikibooks.org/wiki/Trigono... https://www.geogebra.org/m/hdepmnm9 https://googology.wikia.org/wiki/User... A picture from the book “Reverse Mathematics: Proofs from the Inside Out” https://brilliant.org/wiki/brouwer-fi... https://en.wikipedia.org/wiki/Jordan_... Some videos on non-Euclidean geometry.    • "Visualizing Hyperbolic Geometry", Evelyn ...      • Non-Euclidean Geometry Explained - Hyperbo...      • Non-Euclidean Worlds Engine