Transcription of How to write proofs: a quick guide
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How to writeproofs:a quick guideEugeniaChengDepartment of Mathematics,University of eugeniaOctober 2004A proof is like a poem,or a painting,or a building,or a bridge,or a novel,or a symphony.\Help!I don'tknow how to writea proof!" Well,didanyoneever tellyouwhata proofis, andhowto goaboutwritingone?Maybe which caseit'snowonderyou' good proof is notsupposedto be somethingwe 'slike writinga poemin a to to know it wellenoughto writepoetryin it, notjustsay \Whichway is it to thetrainstationplease?"Even whenyou know how to do it, writinga proof takes planning,e sketchesbeforestartinga paintingforreal;greatarchitectsmake plansbeforebuildinga building;greatengineersmake plansbeforebuildingabridge;greatauthorsp lantheirnovelsbeforewritingthem; ,greatmathematiciansplantheirproofsin advanceas Whatdoes a proof looklike?
ashback. Like The Go-Between or Brideshead Revisited or Rebecca. Or, it’s like taking someone on a journey { you might well tell them where you’re going right at the start. But once you’ve told them what the destination is you still start the journey from the beginning. The same is true of proofs. Even if we begin by announcing what
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