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njwildberger's Channel
 
 
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WildTrig60: Acute and obtuse triangles
WildTrig59: Triangle spread rules in action
WildTrig58: Triangle spread rules
 
WildTrig1: Why Trig is Hard
 
Profile
 
Name:
Norman Wildberger
Channel Views:
15,975
Joined:
October 15, 2007
Last Sign In:
1 week ago
Subscribers:
502
The WildTrig playlist gives a simplified introduction to Geometry via Rational Trigonometry. It will also present a wide range of applications. It is meant for good high school students, undergrad math majors, engineers, scientists and just those with an interest in geometry.

The MathFoundations playlist presents a simple way to set up modern mathematics on a rigorous foundation. It starts from the very beginning, without reliance on unsubstantiated `axiomatic systems' or other voodoo. It will also show how mathematics education can benefit by understanding mathematics in a natural way.

There is also a third channel that consists of mathematical seminars I have given. These are more advanced, aimed for math major undergraduates and graduate students, along with fellow mathematicians.
About Me:
 
I am a mathematician, currently Assoc Prof at UNSW in Sydney Australia. I am particularly interested in geometry, harmonic analysis, hypergroups and foundational issues.

I am the author of `Divine Proportions: Rational Trigonometry to Universal Geometry', a book which develops a new and simplified form of trigonometry and Euclidean geometry.
Hometown:
Peterboro Ontario Canada
Country:
Australia
Occupation:
Mathematician
Companies:
UNSW
Hobbies:
Music, playing Go, bushwalking
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Recent Activity  
njwildberger uploaded a new video (1 month ago)
We define acute and obtuse triangles, and give inequalities for acuteness in terms of the spreads of the triangle. Then we look at the circumcenter...   more
 
 
njwildberger uploaded a new video (1 month ago)
We look at a quadrilateral problem using rational trigonometry and the Triangle spread rules.
 
 
njwildberger uploaded a new video (1 month ago)
The three spreads of a triangle satisfy the Triple spread formula, and given two such spreads this gives a quadratic equation for the third. The Tr...   more
 
 
njwildberger uploaded a new video (1 month ago)
This video outlines how we approach proofs in chromogeometry. The emphasis is on algebraic relations and polynomial identities. A convenient shorth...   more
 
 
njwildberger uploaded a new video (1 month ago)
Chromogeometry allows us to consider not just the usual nine-point circle of a triangle, but also a red and a green nine-point circle, which are in...   more
 
Channel Comments (28)
786HKHM (1 week ago)
Deeply thankful for these IMMENSELY GOOD lectures.
Added visual approach combined with remarkable lecturing style makes these videos very good learning resource. Once again, thank you very much.
speedlearner (1 month ago)
Good evening. First of all I welcome you to check out my instructional videos and tell me what you think. Secondly, I would love it if you would tell me more about modular arithmetic. I think I have a good grasp on the subject, but any correction would be greatly appreciated.
njwildberger (1 month ago)
The so-called advantages of classical trig are largely illusory. Sure, young children learn that 15 degrees plus 4 degrees is 19 degrees. This kind of `intuition' represents misplaced confidence, since such questions rarely come up in practice. The real applications invariably require a large bag of complicated tricks from special function theory just to solve simple problems with triangles. Have you looked at a standard book on trigonometry lately and seen just how full of gobbly-de-gook these bloated things are?

It is in the application that the real difference comes out. I cannot emphasize enough: move from abstract contemplation to actual solving of real life practical problems, and rational trigonometry wins hands down.
eIectrostatic (1 month ago)
I can see the advantages of rational trigonometry, but from what I understand there's one drawback as well: the rational measures quadrance and spread are nonlinear unlike the irrational measures distance and angle. So, the question is how to make these nonlinear changes as intuitive as the current standard? Nevertheless, this is a very interesting and intriguing approach on geometry/trigonometry...
njwildberger (2 months ago)
High school teachers generally have never heard about rational trigonometry. They would probably not be too happy if you answered the questions using rational trig. However I bet that in fifty years the situation will be completely different. In twenty,... I'm not sure, possibly.
Sethernis (2 months ago)
Hi!

I have a question. Your Rational Trig series, can it "replace" the original trignometry completly? What I mean is, I will make a test on trig soon, if I use rational trig, will I get burned by the teachers? Do people know about this?

Just asking, for safety reasons.
tibetefendi (2 months ago)
Thank you very very very much!
rgrybra (3 months ago)
I love your videos! Thank you
mcanton85 (4 months ago)
Hello, I am an Italian student of Mechanical Engineering, thanks for sharing your knowledge and spending effort into making all these videos!
langengro (4 months ago)
Damn, the playlists are there! Sorry for the misplaced comment ...
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