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njwildberger: tangential thoughts | mathematical ruminations and more

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njwildberger: tangential thoughts | mathematical ruminations and more | njwildberger.wordpress.com Reviews

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mathematical ruminations and more (by njwildberger: tangential thoughts)

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Factoring big numbers – Ruben Zilibowitz's Blog

https://rubenzilibowitz.wordpress.com/2014/10/05/factoring-big-numbers

Ruben Zilibowitz's Blog. Math, computing, and music. October 5, 2014. N J Wildberger asks about the prime factorisation of a very large number in this video Infinity: does it exist? A debate with James Franklin and N J Wildberger. The number in question is. Using Knuth’s up arrow notation. It is possible to find some of the small factors, as I will show here for factors 3, 13, and 139. First the factor of. This is slightly more difficult to demonstrate but still not that hard. It is easy to verify that.

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Wild Egg Books

http://www.wildegg.com/authors.htm

This page will be updated and maintained by the author of Divine Proportions. Dr N J Wildberger. Here Norman will post additional resources for Rational Trigonometry, both in the Euclidean setting and in the hyperbolic and spherical settings. You can also find an Errata for the book. And answers to FAQ. Norman's UNSW website is at http:/ web.maths.unsw.edu.au/ norman/. Is at http:/ www.youtube.com/user/njwildberger. One of the playlists is WildTrig. His recently established blog. An elementary summary of...

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Peano Axioms 2015 Never more important | New Math Done Right

https://newmathdoneright.wordpress.com/2015/12/31/peano-axioms-2015-never-more-important

New Math Done Right. Peano Axioms for kids 6 and up. Learning different multiplication methods is a sound idea. Peano Axioms 2015 Never more important. December 31, 2015. New Math Done Right. About New Math Done Right. View all posts by New Math Done Right →. This entry was posted in Uncategorized. Learning different multiplication methods is a sound idea. Peano Axioms 2015 Never more important. April 7, 2016 at 11:30 am. Leave a Reply Cancel reply. Enter your comment here. Address never made public).

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Wild Egg Books

http://www.wildegg.com/about.htm

Wild Egg Pty Ltd (ABN 25107619787) is an Australian publishing company, based in Sydney. The director is Dr Norman Wildberger (BSc U Toronto, PhD Yale University) of the School of Mathematics and Statistics. At UNSW (University of New South Wales). A graduate student), Stanford University, and the University of Toronto before coming to UNSW in 1990. At UNSW he has an enviable reputation as an excellent teacher over a wide range of undergarduate courses. His YouTube channel Insights into Mathematics.

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The Fundamental Dream of Algebra | njwildberger: tangential thoughts

https://njwildberger.com/2015/11/19/the-fundamental-dream-of-algebra

Mathematical ruminations and more. The Fundamental Dream of Algebra. According to modern pure mathematics, there is a basic fact about polynomials called “The Fundamental Theorem of Algebra (FTA)”. It asserts, in perhaps its simplest form, that if p(x) is a non-constant polynomial, then there is a complex number z which has the property that p(z)=0 . So every non-constant polynomial equation p(x)=0 has at least one solution. [NOT! What a useful and crucially important theorem this is! Unfortunately, the ...

njwildberger.com njwildberger.com

Uncomputable decimals and measure theory: is it nonsense? | njwildberger: tangential thoughts

https://njwildberger.com/2016/01/01/uncomputable-decimals-and-measure-theory-is-it-nonsense

Mathematical ruminations and more. Uncomputable decimals and measure theory: is it nonsense? Modern Measure Theory has something of a glitch. It asserts, as a main result, something which is rather obviously logically problematic (I am feeling polite this New Year’s morning! Let’s talk a little about this subject today. Measure theory texts are remarkably casual about defining and constructing the real numbers. Let’s just assume that they are there, shall we? Wide range of illustrative examples. Young pe...

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Online tutorials for first year mathematics | njwildberger: tangential thoughts

https://njwildberger.com/2015/06/06/online-tutorials-for-first-year-mathematics

Mathematical ruminations and more. Online tutorials for first year mathematics. The first teaching semester of 2015 has just finished here at UNSW. It has been very busy for me, which is a convenient excuse for not having blogged much lately. What’s been happening? This means we can coerce, I mean motivate, students to actually do homework! How good is that? Our Online tutorials are based on videos to problem solutions that we made that show students how to solve questions from our Problem Notes. One of ...

njwildberger.com njwildberger.com

Infinity: religion for pure mathematicians | njwildberger: tangential thoughts

https://njwildberger.com/2015/11/26/infinity-religion-for-pure-mathematicians

Mathematical ruminations and more. Infinity: religion for pure mathematicians. Here is a quote from the online Encyclopedia Britannica:. The Bohemian mathematician Bernard Bolzano. 1781 1848) formulated an argument for the infinitude of the class of all possible thoughts. If. Is a thought, let. Stand for the notion. Are in turn distinct thoughts, so that, starting with any single thought. One can obtain an endless sequence of possible thoughts:. The numbers are a free creation of human mind. ( R....I hop...

njwildberger.com njwildberger.com

Space-filling curves do not exist | njwildberger: tangential thoughts

https://njwildberger.com/2016/01/22/space-filling-curves-do-not-exist

Mathematical ruminations and more. Space-filling curves do not exist. When does ideology trump common sense? This question is very relevant to the sad situation with modern pure mathematics, which is in a dire logical mess. All manner of dubious concepts and arguments are floating around out there, sustained by our fervent desire that the limiting operations underlying modern analysis actually make sense. We must believe — we will believe! And there is hardly a more obviously suspicious case than that of.

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njwildberger: tangential thoughts | mathematical ruminations and more

Mathematical ruminations and more. Upcoming talk on the Goldbach Conjecture. Some exciting news, I will next month be giving a talk which, amongst other things, will resolve the Goldbach Conjecture. That is a rather famous conjecture in Number Theory that asserts that every even number can be written as the sum of two primes. The talk will be in the Pure Mathematics Colloquium on November 8 2016. Speaker: A/Prof N J Wildberger (UNSW). We will also bump into philosophical questions about the true nature o...

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njwildberger: tangential thoughts | mathematical ruminations and more

Mathematical ruminations and more. July 23, 2015. Mathematics journals publish papers by mathematicians on their research discoveries, or sometimes expository works that overview an area. They have traditionally been the main repositories of innovation and development in mathematics—the advance guard of mathematical knowledge—with books being the support troops that bring up the rear and consolidate the progress made. What will be the role of other means of relaying information, in particular video?

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