“We can read even a correct proof, and be completely convinced of the logical steps of the proof, but still not have any understanding of the whole. Like being led, step by step, through a dark forest, but having no idea of the overall route.”
Eugenia Cheng (via cofinaldestination)
Maybe this is why I have trouble reading math textbooks sometimes? I can understand why a step is valid, but I get caught up on, “Wait, where are we going? Where are you taking me?”
(via ryanandmath)
Class in session as Planet X starts it off with our favorite dense objects:
Neutron Stars!
http://www.space.com/22180-neutron-stars.html
This is a model of how many Earth’s can fit inside the sun.
This analysis book was published in 1970. At some point in its life before I purchased it last summer (a life which spanned 18 years before I was even born, by the way), it was owned by someone who read every page, and wrote enthusiastic comments in the margins next to particularly thrilling conclusions to proofs. I love this subject, and I share every sentiment with this unknown stranger. I too love the drama of confusion and the triumph of understanding, and I love sharing that experience with this person with whom I have a rare and important commonality. Wherever you are book-commenting analysis enthusiast, I think the world of you. I hope you have a happy life full of abstract mathematics.
"To paraphrase Walt Whitman: 'You are vast. You contain multitudes. Now let them live.'"
Dia de Muertos, 2015
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"To awaken my spirit through hard work and dedicate my life to knowledge... What do you seek?"
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