How to prove a function is an injection (Screencast 6.3.2)

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This video discusses four strategies for proving that a function is injective: direct proof, proof using the contrapositive, proof by contradiction, and proof by exhaustion.
  1. GVSUmath
  2. GVSU
  3. math
  4. mathematics
  5. MTH 210
  6. Talbert
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Комментарии
Автор

This is the clearest video to show the proof of injective. I learn a lot!

vincentliang
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As relative newbee to Discrete Maths, your video 'hit it out of the park'. *Really* well explained!

ronglass
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Please prove this theorem before 8 oct
A set X is countable if and only if there exist an injective function from X to set of nature numbers N

liaqatbhinder
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Thank you so much for this video! Extremely helpful!

RahulSingh-vohx
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Why is the second proof valid and not the first? Shouldn't you have to prove that the log function is injective too?

jorgemontes
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these strategies are completely ineffective for complex equations and polynominials.

Caulyns
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is it possible to show that a function f is injective if f is not defined (i.e f : X → Y, but there is no formula that defines f )

allymatabane
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Why in the contrapositive and contradiction was it necessary to take the natural logs of e^x1 and e^2 to show that x1 and x2 were equal? If the e's raised to a power are equal would not the powers they were raised to also have to be equal?

cmcoopermd
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Very good tutor. except that you speak fast :)

clemiboi
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I think it's good he speak fast, otherwise I'd be bored watching.

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