Why are numbers beautiful?

[Guest]

Hmm. 'Why Do We Prove Theorems?' by Prof. Y. Rav.,

http://sgpwe.izt.uam.mx/files/users/uami/ahg/1999_Rav.pdf.

Remarks: It is a long and quite interesting read about why mathematicians prove/disprove conjectures... Enjoy!

Hmm. 'ON PROOF AND PROGRESS IN MATHEMATICS', by Prof W. P. Thurston is also good!

https://www.math.toronto.edu/mccann/199/thurston.pdf.

[Guest]

"Math is hard work! And math is also fun! And people who do mathematics with an open mind are always hopeful of the best outcomes."

“Those who can imagine anything, can create the impossible.” ― the late great Alan Turing ( https://en.wikipedia.org/wiki/Alan_Turing).

[Guest]

“The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend to some extent on the significance of the ideas which it contains.” ― G.H. Hardy, a great mathematician (This quote is from Hardy's 'A Mathematician's Apology').

"A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician is one who can see analogies between analogies." -- Stefan Banach, a great mathematician.

Hmm. 'Mathematical Proof' ( https://www.wikiwand.com/en/Mathematical_proof ) by Wikiwand is quite good! Enjoy!

[Guest]

FYI: 'THE MATHEMATICAL KNOWLEDGE CHILDREN BRING TO SCHOOL',

https://www.nap.edu/read/9822/chapter/7.

Relevant Reference Link:

'Creativity important to lift math education',

https://phys.org/news/2020-02-creativity-important-math.html.

[Guest]

"Technology is a gift of God. After the gift of life, it is perhaps the greatest of God's gifts. It is the mother of civilizations, of arts and of sciences.

It is characteristic of all deep human problems that they are not to be approached without some humor and some bewilderment.

You ask: what is the meaning or purpose of life? I can only answer with another question: do you think we are wise enough to read God's mind?"

-- Freeman Dyson, a great scientist.

Relevant Reference Links:

'Freeman Dyson, a visionary and renaissance physicist, dies at 96.'

https://www.washingtonpost.com/local/obituaries/freeman-dyson-a-visionary-and-renaissance-physicist-dies-at-96/2020/02/28/0ba462e0-5a58-11ea-ab68-101ecfec2532_story.html#comments-wrapper;

'Freeman Dyson',

https://en.wikipedia.org/wiki/Freeman_Dyson.

[Guest]

"John Horton Conway, the English-born Princeton mathematician whose body of work ranged from the rigorously highbrow to the frivolously fun, earning him prizes and a reputation as a creative, iconoclastic and even magical genius, died on Saturday in New Brunswick, N.J. He was 82."

Source Link:

https://www.nytimes.com/2020/04/15/technology/john-horton-conway-dead-coronavirus.html

[Guest]

FYI: 'Human Computer’ for NASA Space Flights Dies at 101,

https://www.google.com/amp/s/learningenglish.voanews.com/amp/human-computer-for-nasa-space-flights-dies-at-101/5305532.html.

[Guest]

FYI: 'Human Computer’ for NASA Space Flights Dies at 101,

https://www.google.com/amp/s/learningenglish.voanews.com/amp/human-computer-for-nasa-space-flights-dies-at-101/5305532.html.

[Guest]

FYI: 'The mystique of mathematics: 5 beautiful math phenomena',

https://phys.org/news/2020-05-mystique-mathematics-beautiful-math-phenomena.html.

[Guest]

FYI: "Professor Sarah Koch has been awarded the Harold R. Johnson Diversity Service Award from the University of Michigan Office of the Provost."

https://lsa.umich.edu/math/news-events/all-news/search-news/sarah-koch-received-harold-r--johnson-diversity-service-award.html.

Go Blue!

[Guest]

FYI: 'Mathematics: Why the brain sees maths as beauty.'

https://www.bbc.com/news/science-environment-26151062.

[Guest]

FYI: "The International Day of Mathematics (IDM) is a worldwide celebration. Each year on March 14 (Pi Day and Albert Einstein's Birthday) all countries will be invited to participate through activities for both students and the general public in schools, museums, libraries and other spaces."

https://www.idm314.org/;

https://www.idm314.org/math-everywhere-video.html.

[Guest]

FYI: "Numbers:

Zero is a number that was inconceivable to humankind and peculiar in many regards compared to the other numbers. Today, the existence of zero is common knowledge and most people find it hard to understand why it could be different or special. Zero is a key number in the Arabic numeral system that is prevalent all over the world today."

https://tubitv.com/tv-shows/476707/s01_e04_zero.

[Guest]

FYI: "The International Day of Mathematics (IDM) is a worldwide celebration. Each year on March 14 (Pi Day and Albert Einstein's Birthday) all countries will be invited to participate through activities for both students and the general public in schools, museums, libraries and other spaces."

...

https://www.idm314.org/math-everywhere-video.html.

FYI: 'CERN and the Sense of Beauty (Documentary):

Revealing secrets from the world’s largest particle physics laboratory, scientists with various beliefs share images of powerful, mysterious beauty.'

https://tubitv.com/movies/520306/cern_and_the_sense_of_beauty?start=true.

Enjoy!

[Guest]

"Mathematics ... is art (maybe the highest art) motivated by beauty (maybe divine beauty). Amen!"

Source Link:

'Mathematics and art (and science ... too)',

https://en.wikipedia.org/wiki/Mathematics_and_art.

[Guest]

FYI: " Prof. Suzy Weekes (U-Mich Math Alumna) named Executive Director of SIAM."

https://lsa.umich.edu/math/news-events/all-news/search-news/alumna-suzy-weekes-named-executive-director-of-siam.html.

Go Blue!

[Guest]

FYI: "Why researchers are 100 percent sure we love round numbers."

https://www.washingtonpost.com/science/humans-love-round-numbers/2020/11/06/c1d29b38-08ac-11eb-859b-f9c27abe638d_story.html#comments-wrapper.

[Guest]

FYI: 'Prof. Karen E. Smith, William Fulton Distinguished University Professor of Mathematics. She is also the M.S. Keeler II Professor of Mathematics and professor of mathematics in LSA.'

“Professor Smith is a distinguished mathematician whose research is in algebraic geometry, a field of study that seeks to understand the properties of the solutions of systems of polynomial equations and leads to some of the deepest areas of all mathematics,” Collins and Solomon wrote. “While a highly abstract field of mathematics, algebraic geometry has a host of applications, from computer-aided design to medical applications to cybersecurity. Professor Smith is a leader in understanding the field from a theoretical perspective and in discovering its conceptual connections with other areas of mathematics.”

Source Link: https://record.umich.edu/articles/five-honored-as-distinguished-university-professors-for-2021/.

Go Blue!

[Guest]

FYI: 'Prof. Karen E. Smith, William Fulton Distinguished University Professor of Mathematics. She is also the M.S. Keeler II Professor of Mathematics and professor of mathematics in LSA.'

“Professor Smith is a distinguished mathematician whose research is in algebraic geometry, a field of study that seeks to understand the properties of the solutions of systems of polynomial equations and leads to some of the deepest areas of all mathematics,” Collins and Solomon wrote. “While a highly abstract field of mathematics, algebraic geometry has a host of applications, from computer-aided design to medical applications to cybersecurity. Professor Smith is a leader in understanding the field from a theoretical perspective and in discovering its conceptual connections with other areas of mathematics.”

Source Link: https://record.umich.edu/articles/five-honored-as-distinguished-university-professors-for-2021/.

Go Blue!

[Guest]

FYI: 'Prof. Karen E. Smith, William Fulton Distinguished University Professor of Mathematics. She is also the M.S. Keeler II Professor of Mathematics and professor of mathematics in LSA.'

“Professor Smith is a distinguished mathematician whose research is in algebraic geometry, a field of study that seeks to understand the properties of the solutions of systems of polynomial equations and leads to some of the deepest areas of all mathematics,” Collins and Solomon wrote. “While a highly abstract field of mathematics, algebraic geometry has a host of applications, from computer-aided design to medical applications to cybersecurity. Professor Smith is a leader in understanding the field from a theoretical perspective and in discovering its conceptual connections with other areas of mathematics.”

Source Link: https://record.umich.edu/articles/five-honored-as-distinguished-university-professors-for-2021/.

Go Blue!