Algebra 2 4.4h - Complex Numbers, Part 8 - Carl Friedrich Gauss

[yarolly]

Hi Derek,

I worked as a tutor in business statistics in Uni and I know how difficult it is to structure your thoughts in such a way that someone else understands it. Therefore I can say what a great and superb job you have done! Thank you very much.
PS: I totally agree Gauss is the greatest of all time.

[derekowens]

Honored to have you commenting on this video. Thanks for stopping by.

[karlgauss]

I can't recognize complex numbers, they're all too simple for me.

[pithikoulis]

Seems like you really are passionate about these things and you succeed in infecting us with your passion. You make all these things understandable and that just makes math so damn interesting! Most math teachers I had they just went through the course each time as fast as possible without explaining things down to the core. You explain everything so detailed that after every little video of yours I watch I just feel wiser. Thanks for giving that feeling!

[ornlo]

it was Casper Wessel, Norway (Danmark-Norway) who gave the first idea of complex numbers., but since" Om directionens analytiske betegning " ("On the Analytical Representation of Direction") was plublished in Danish it passed with relative little attention. He is credited the the ideas of the complexed plane though.

[derekowens]

@theshllapi No arguments from me on that. Assessing who was actually the greatest is somewhat subjective, and is also probably left to better minds than I have. But Euler was certainly one the all time greatest, and is one of my personal favorites.

[bavarikus]

Did you know, that Mr. Louis Jacques Mandé Daguerre met C. F. Gauss in 1828 in Berlin to make a foto of him (and a group of famous persons). But Gauss didn´t want to stand still for the exposure time of 15 minutes. What a shame!!! So we don´t have a foto of C. F. Gauss.

[coolever]

i was hoping to find a video explaining the division of complex numbers. I find your lectures very easy to understand and you have explained what i did not understand from my doctor at my school. thank you for your videos. :)

[derekowens]

There were some other people before Einstein, such as Poincare, who did have the initial seeds of the idea of relativity, but Einstein does deservedly get the credit for it. People other than Newton, such as Fermat, and even Archimedes, had some early elements of Calculus also, but Newton and Leibniz rightfully take credit there also.

[sovereignpeople]

Agree with [derekowens]'s answer.

PhD examines your research ability. It is a different level of mindset.

PhD is not all about making an original contribution to said field, though it rarely happens, specially with sponsored team projects. If the outcome of that research is owned by the university, they sell it to the industry for profit. As well as university rankings go high. PhD students get paid as well.

[derekowens]

@MilitaryMan006 That's generally the idea. In reality, it may vary a lot from one university to another. The more rigorous and more prestigious universities will hold people to a higher standard. And it doesn't necessarily have to be revolutionary, just a meaningful contribution. Along with the coursework, of course, and passing the comprehensive exams.

[nandakumarcheiro]

A complex number is a combination of real and imginary parts.Square root of squares of real and imaginary coefficients becomes modules.The horizontal cosine directional and vertical directional sine directional and the verticality becomes a spinor going up every changing horizontal is a stationary one.This may be sum of electron spin that may take up two directional spilit up.This is explained as hypotnuse of right angled triangle with two sides representing horizontal cos value and vertical sine value.
As axb = absine theta vector and a.b theta vector asab cos theta is 1 and is zero vertically as axb is zero at 90 degrees the rotatioonal vector spilit up and oscillate between zero and unit vector and resultant number is a complex number.
Sankaravelayudhan Nandakumar.

[derekowens]

@diama2 Euler was amazing, and is certainly one of my favorites. As to whether he was greater than Gauss or not, I'm not qualified to say. But I have heard it said that "Mathematicians are in the habit of naming their theorems and formulas after the first person other then Euler to have discovered them." Pretty telling statement!

[derekowens]

@bavarikus Wow, I didn't know they had cameras that long ago. Fifteen minute exposure... film has come a long way since then. Wish we had a photo of him.

[derekowens]

Well, yes, that's a good point. They lived and worked in different times and places, and while they both did advanced math (and physics) they aren't directly comparable. Still, Allen based his conclusion on three specific criteria: the depth of the mathematician's work, the breadth of the work, and the historical significance. Archimedes would certainly score high on all three counts, but I'm not going to argue with putting Gauss at the top of the list.

[TheCriticalGouge]

Always nice to get a bit of Math history. Thanks.

[forkeke]

That guy is my grand-grand-...-father. Here in Germany he was printed on our notes till 2001 so he isn't that unknown. Would be nice if inheritance would work better in this respect ...

[volintine]

gauss has it 's name on all over the field of mathemtaics

[delgande]

Gauss, Euler, Newton, and Archimedes are the "Beatles" of maths, also Riemann, Poincare, and other guys.

[BegunValkery]

The many greatest minds that came from Germany sparks my pride for being German. No doubt that the vast majority of people who knew some of him would be the idea of the "rail gun." The credit goes to Gauss for this concept. I would really love to find some classes that dedicate to Gauss' glory.