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科普经典书目推荐:
乔治·伽莫夫的《从一到无穷大》
One Two Three... Infinity: Facts and Speculations of Science
《从一到无穷大:科学中的事实和臆测》
(美)盖莫夫(G.Gamow)著 , 暴永宁译
北京:科学出版社,1978
窃以为是真正的好科普书。
从该书第一次知道康托无穷级数第二序列。
相关链接:
[1] One Two Three... Infinity
https://en.wikipedia.org/wiki/One_Two_Three..._Infinity
One Two Three... Infinity: Facts and Speculations of Science is a popular science book by theoretical physicist George Gamow, first published in 1947, exploring some fundamental concepts in mathematics and science, but written at a level understandable by middle school students up through "intelligent layman" adults.[1] The book is illustrated by Gamow.
[2] George Gamow, From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/George_Gamow
George Gamow (March 4, 1904- August 19, 1968), born Georgiy Antonovich Gamov, was a Russian-American theoretical physicist and cosmologist.
One Two Three ... Infinity (1947, revised 1961), Viking Press (copyright renewed by Barbara Gamow, 1974), Dover Publications, ISBN 0-486-25664-2, illustrated by the author. Dedicated to his son, Igor Gamow, it remains one of the most well received ever in the popular science genre. The book winds from mathematics to biology, to physics, crystallography, and more.
[3] 从一到无穷大 (G·伽莫夫创作科普作品)
[4] 乔治·伽莫夫
https://baike.baidu.com/item/%E4%B9%94%E6%B2%BB%C2%B7%E4%BC%BD%E8%8E%AB%E5%A4%AB/1749781?fr=aladdin
[5] 王宪钧,数理逻辑引论,北京:北京大学出版社,1980
[6] Cantor theorem. Encyclopedia of Mathematics.
https://www.encyclopediaofmath.org/index.php/Cantor_theorem
The set 2A of all subsets of a set A is not equipotent to A or to any subset of it.
[7] K. Kuratowski, A. Mostowski, "Set theory" , North-Holland (1968)
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