Steven G. Krantz
Born
February 03, 1951
Website
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A Mathematician's Survival Guide: Graduate School and Early Career Development
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published
2003
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Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical
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published
2002
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3 editions
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How to Teach Mathematics
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published
1993
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4 editions
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Calculus Demystified : A Self Teaching Guide
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published
2002
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10 editions
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A Primer of Mathematical Writing: Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read & Appreciated
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published
1996
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5 editions
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The Proof is in the Pudding: The Changing Nature of Mathematical Proof
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published
2010
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7 editions
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Differential Equations Demystified
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published
2004
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5 editions
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Discrete Mathematics DeMYSTiFied
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published
2008
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5 editions
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Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical
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published
2005
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Techniques of Problem Solving
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published
1996
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4 editions
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“One day Shizuo Kakutani was teaching a class at Yale. He wrote down a lemma on the blackboard and announced that the proof was obvious. One student timidly raised his hand and said that it wasn't obvious to him. Could Kakutani explain?
After several moments' thought, Kakutani realized that he could not himself prove the lemma. He apologized, and said that he would report back at their next class meeting.
After class, Kakutani, went straight to his office. He labored for quite a time and found that he could not prove the pesky lemma. He skipped lunch and went to the library to track down the lemma. After much work, he finally found the original paper. The lemma was stated clearly and succinctly. For the proof, the author had written, 'Exercise for the reader.”
― Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical
After several moments' thought, Kakutani realized that he could not himself prove the lemma. He apologized, and said that he would report back at their next class meeting.
After class, Kakutani, went straight to his office. He labored for quite a time and found that he could not prove the pesky lemma. He skipped lunch and went to the library to track down the lemma. After much work, he finally found the original paper. The lemma was stated clearly and succinctly. For the proof, the author had written, 'Exercise for the reader.”
― Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical
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