Titlebook: Alice in Numberland; A Students’ Guide to John Baylis,Rod Haggarty Textbook 1988Latest edition John Baylis and Rod Haggarty 1988 Alice.Area

abnegate

,Some Infinite Surprises—in which some wild sets are tamed, and some nearly escape,centuries by other mathematicians. He was the source of most of the ideas, and for this reason the subject is relatively easy to tie down to its origins. We shall be adding a few remarks to give some historical colour to our story, but by the end of the chapter you will probably agree that the subject is quite colourful enough anyway!

Infect

欺骗手段

,Graphs and Continuity—in which we arrange a marriage between Intuition and Rigour,he way space actually is. So far, mathematicians have been able to resolve any unexpected quirks of the rigorously defined concept of a continuous function more or less to everyone’s satisfaction. One of the founders of analysis, a Catholic priest, Bernhard Bolzano (1781–1848 ), when analysing the p

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https://doi.org/10.1007/978-3-540-27243-4: I’ve started to educate myself, Alice, as you suggested. I found a little book in the Red Queen’s library by some chap called Fibonacci. They had very quaint ways of describing themselves in those days: this book was … ‘by Leonardo, the everlasting rabbit breeder of Pisa’.

phytochemicals

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类人猿

,Nests—in which the rationals give birth to the reals and the scene is set for arithmetic in ℝ,Deep in conversation, Alice and the Tweedle twins have wandered into an unfamiliar part of the forest.

Adrenal-Glands

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,Psychomotorische Erregungszustände,, 2, 3, 4, …}. We think of counting as a very primitive notion firmly rooted in reality, yet already the innocent three dots in { 1, 2, 3, 4, …} may have taken us beyond reality into the realms of pure thought. The dots are usually interpreted as ‘and so on for ever’, which expresses our notion that