Lars Tackmann
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 Apr 12 answered How to calculate the Integer portion of a fraction using only +, -, $\div$ and *? May 9 awarded Popular Question May 11 awarded Announcer Feb 2 revised Simple proof of the Binomial Theorem for $\mathbb{R}$ deleted 31 characters in body; edited title Feb 2 comment Simple proof of the Binomial Theorem for $\mathbb{R}$ @ArturoMagidin I see your points, it was not me intention to come of that strongly and as a non native english person I apologize for the spelling mistakes. As for the question I was not thinking about graduate level math where the proofs are not circular (i.e. Rudin's books and the likes) but the kind of text books used for calculus in high school which (at least in Denmark) does have this problem (among many other ones such as the description of continuous functions). Feb 2 revised Simple proof of the Binomial Theorem for $\mathbb{R}$ added 103 characters in body; edited title Aug 11 awarded Teacher Jun 17 awarded Citizen Patrol Jun 16 awarded Scholar Jun 16 comment Simple proof of the Binomial Theorem for $\mathbb{R}$ I have updated my question as I see it was unclear, I am interested in a proof of the binomial theorem with special attention to only depending on principals from calculus that does not have any circular dependencies on infinite sums (that use the binomial theorem). Jun 16 awarded Editor Jun 16 revised Simple proof of the Binomial Theorem for $\mathbb{R}$ added 103 characters in body Jun 16 awarded Student Jun 16 asked Simple proof of the Binomial Theorem for $\mathbb{R}$ Nov 25 answered Preparing for first year CS Nov 25 comment Best Maths Books for Non-Mathematicians Truly amazing book (along with W Dunham). Also worth mentioning is Derbyshire's latest book Algebra "Unknown Quantity: A Real And Imaginary History of Algebra". Nov 25 awarded Supporter Nov 14 awarded Autobiographer