Hi, I am a pure mathematician, working in the School of Mathematics and Statistics at UNSW, in Sydney Australia. This blog will touch on various thoughts on mathematics: ideas, patterns, surprises and some hopefully serious discussion on the weaknesses of modern mathematics, which ought to be more widely known and considered. And it will also have other occasional random thoughts, which are, at least in my mind, somewhat mathematical.

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Thanks for pointing me to this web site. It is an excellent way to share your ideas with likeminded people.
John
Hi John, Thanks for the first comment!
Mr. Wildberger,
I recently “discovered you” and I want to thank you very much your posts, you tube videos, and work have just made my life far more interesting. Thank you, sir.
Lawson Brouse
Hi Lawson, Thanks for your kind words!
Professor, I want to thank you for the wonderful insight you have given me in mathematics, I’m not a mathematical inclined person, but your YouTube lectures are starting to change my experience with mathematics. – I never thought I would enjoy mathematics. Thank you
I am delighted to hear that. Converting people to this lovely subject is one of my most ardent goals!
Mr. Wildberger, mathematics is just a hobby for me but you poin of view clearly illuminated many paradoxes that i had about infinity. So i am not infinitally grateful but you can set the bound XD. I want to get the book but i want to know if there are any issues about shiping to mexico if i buy from pay pal? Thx once again.
Thanks for the comment. As for the book, there is no problem, we ship anywhere if you buy from wildegg.com via paypal.
hi, Norman
I am thankful for accidentally bumping into your efforts in teaching math and geometry.
I love your approach, starting from the beginning and moving forward in a very pragmatical and interesting way: relating to things we can picture easily.
I follow the same approach when I teach programming and beginner’s electronics (you may find something searching for “from 0 to C”).
I had major issues in school because my teachers failed to make their subject more interesting than hacking on a Vespa’s engine.
thanks to your videos I’ve been able to pick up math again and now feel fairly comfortable with a lot of things beyond basics.
not long ago I realized that so many concepts in math which I failed to understand in school, are just algorithms and procedures I’ve been implementing in code for the past 25 years without knowing the math counterparts :D
well, I just wanted to thank you.
I hope I’ll find the time to watch all your videos.
may take a while :)
cheers,
ubi de feo
Hi Ubi, Great to hear that you are picking up with the mathematics again, I am glad my videos have contributed!
Hello Prof.Wildberger,
I am a high school student and have been watching your videos since a year and a half.I followed your whole course on Universal Hyperbolic Geometry and linear algebra and am following the differential geometry one now.I had and am still having interest in geometry as a career and have been reading calculus books but when I started your youtube courses I have become a “worshipper” of rational trigonometry.I heartily agree with you that this kind of geometry is indeed the geometry of the future.Your courses and work in mathematics are excellent and your way of teaching is beautiful.Your posts on the real way of delivering mathematics education should recieve implementation as much as they are recieving an audience!
Thank you very much sir for uploading those courses on youtube!! I hope they really draw a greater worldwide crowd for developing the newly emerging geometry!!
Regards,
Viraj Nadkarni
Hi Viraj, Thanks for the nice comment and support. You are doing very well to have been able to follow those series still as a high school student! Continue, and you will be able to develop into a thoughtful mathematician.
hey Prof.Wildberger, about three or four weeks ago I bumped into your youtube channel, and watched a couple of your videos, and they are amazing! I liked them a lot ! thank you for your great effort, and I wonder when you will post the third lecture of “the rotation problem and Hamilton’s discovery”, also if you could make a video about “brachistochrone problem” and it’s solution by Newton and Bernoulli that would be awesome, keep up the good work,
I am enthusiastic high school student.
Hi, All four lectures on the rotation problem and Hamilton’s discovery are now up at my channel Insights into Mathematics on YouTube (user njwildberger). You might like to watch the lecture MathHistory14: Mechanics and Curves for info on the brachistochrone problem.
thank you prof, I’ve found it in the suggestions bar, but I noticed that part III and IV aren’t included in your (famous math problems) playlist.
Hi Prof. Wildberger, i am a college student from Brazil (Mathematics) and your ideas about the problems with angles and trigonometry are the same as mine. When i found out about the rational trigonometry of yours i was really excited and i’ve been watching many of your videos recently to help me out. I love your work, but i can’t found a way to get your book “Divine Proportions”, is there a way that you can help me? I want to learn more about it and present to the mathematicians here in Brazil. Thanks.
Victor.
Hi Victor, Nice to hear from you, glad to hear you like RT. Information about my book is at the publishers: wildegg.com but for some reason the Payment system there is not working currently (something I need to fix but i am currently too busy!) So I suggest you get the book from Amazon.com.
And Spread the word!
Soon as a get my hands on your book, sir, i will !
Keep up the good work, your videos are helping me a lot, i am learning so much with you, thanks!
Hello Professor,
Just want to join the group here in expressing gratitude for your efforts on the YouTube videos. I intend to watch them all and hope you make more.
I like your rejection of infinite sets and questioning of real numbers. It is interesting that Mathematicians haven’t yet been able to clearly understand and communicate the true nature of the continuum and reconcile what I believe is the natural occurrence of the ‘concept of infinity’ in Mathematics. Is it too complicated for Humans to get their minds around? Is there a different type of number perhaps an asymptotic numbers? Can rational numbers also be regarded as such in a certain context?
The ‘Real’ Numbers should be called the ‘Ideal’ Numbers and the Rational Numbers the Real Numbers because the Rational Numbers are the numbers we are in ‘reality’ constrained too as we try ever so hard to approximate the ‘Ideal’. Of course π doesn’t exist because a perfect ‘Ideal’ circle doesn’t exist. Nor for that matter a perfect point, line, length, area etc.
But this only means that the concept of infinity is embedded in our Mathematics, so how do we explain it? Don’t we need too?
Anyway, I’ll continue to watch your videos learn and scribble in my notepad. Wishing there were more great educators like yourself making similar outstanding contributions.
Thanks, Jud Imhoff
Thanks for the nice comments, Jud. There are some serious challenges in getting over our addiction to `infinite sets’ and `real numbers’. But we can do it!
Dear Professor Wildberger,
I am fascinated by the first half of your first lecture on Differential Geometry (which is all I have seen so far); you cleared up confusions I have had about conic sections for years, despite having studied and come across them over and over again! Also, shouldn’t quadrance be a standard term in regular use!
Can I ask you for a huge favour: Could you please post lecture notes and/or a set of problem sets to go with your Differential Geometry youtube lectures if you have them, or point me to a suitable resource?
Many Thanks,
Naveed
Hi Naveed, I will perhaps try to post some lecture notes that my students took for the course. It will be a few weeks at least though. When I post them, it will probably be at wildegg.com.
Thanks a lot! I look forward to it.
Hi Mr. Wildberger! I came across your blog today whilst searching for new mathematical ideas. I started studying mathematics about 2 years ago after watching documentaries about the universe including visionaries such as Seth Lloyd, Leonard Susskind, Edward Witten and Nick Bostrom. I’m looking forward to seeing more of your videos and participating in some of your discussions. I also have a Youtube channel and a maths website.
Hi Thiago, Nice to hear from you, and good luck with your channel.
I recently came across Dr. Wildbergers lectures while searching out some of the info on triangle centers. He has a very high quality lecture style. Good pace, very easy to understand, brilliant, etc. I am now on a mission to watch every video on his YouTube channel and eagerly look forward to learning and enjoying your presentations. A heart felt thanks to Dr. Norman Wildberger for his enormous contribution to humanity.
Nice to hear from you. It’s always a thrill when I hear that someone is excited about watching many of my videos. I hope you enjoy them!
Hello Dr. Wildberger,
Firstly, I would like to thank you for the tremendous contribution you have brought me and many other in making mathematics a bit more accessible to those of us with less of a natural orientation towards the subject, through your wonderful youtube channel; it has definitely made a number of concepts clearer for me and has also opened my mind to new ideas, such as the problems with real numbers and infinity.
Lately I have been trying to get my head around the Fourier Transform and its applications, mainly regarding various filtering operations (images in particular), as it I have intersected with the problem in both academic and personal endeavors. Although there are many implementations of various filtering operations available, I do not like using something that I don’t understand and I’m struggling with that part so far. I know that this is less of a pure mathematics subject and more inclined towards applied mathematics or engineering, but if you would enjoy covering this subject (and if time allows of course) I would really appreciate to see your approach on in (and I don’t think I would be the only one).
All the best,
Alex