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by Joseph Malkevitch
Sat Sep 16, 2017 12:52 pm
Forum: Math is More: General Discussion
Topic: Fuzzy things
Replies: 0
Views: 50

Fuzzy things

Dear Colleagues, Lofti Zadeh has died at 96. Zadeh developed an area of mathematics called fuzzy logic, and by analogy other parts of mathematics were developed from a "fuzzy" point of view. This included fuzzy set theory. Here is Zadeh's obituary in the NY Times https://www.nytimes.com/20...
by Joseph Malkevitch
Sat Sep 16, 2017 12:26 pm
Forum: Math is More: General Discussion
Topic: Sizes of infinities
Replies: 0
Views: 29

Sizes of infinities

Dear Colleagues, In the 19th century Cantor gave an argument to show that the sizes of the infinite for the natural numbers (counting numbers) was different from that of the real numbers. Recently, Maryanthe Malliarisa and Saharon Shelah have resolved a long standing question about the sizes of two ...
by Joseph Malkevitch
Sun Sep 10, 2017 11:35 am
Forum: Math is More: General Discussion
Topic: Market design
Replies: 0
Views: 42

Market design

Dear Colleagues, There is growing interest in using mathematical and economic insights into designing markets. This work often involves ideas growing out David Gale and Lloyd Shapley's work on stable matchings, but is more varied. This paper surveys the area of market design and discusses several ex...
by Joseph Malkevitch
Sat Sep 09, 2017 5:14 pm
Forum: Math is More: General Discussion
Topic: Einstein the inventor
Replies: 0
Views: 42

Einstein the inventor

Dear Colleagues, Sometimes people known primarily as theorists (whether they be physicists or mathematicians) also have been inventors or hold patents for various aspects of their achievements. Here is an interesting account of Albert Einstein as an inventor. https://arxiv.org/ftp/arxiv/papers/1709/...
by Joseph Malkevitch
Sat Sep 09, 2017 11:11 am
Forum: Math is More: General Discussion
Topic: Cassini images
Replies: 0
Views: 38

Cassini images

Dear Colleagues, Mathematics has made it possible to "explore" our solar system by using spacecraft that have traveled to, for example, Saturn. The Cassini spacecraft was among the most successful such missions though it will be ending its productive life on Sept. 15, 2017. Here are some a...
by Joseph Malkevitch
Fri Sep 08, 2017 5:09 pm
Forum: Math is More: General Discussion
Topic: International enrollments at American universites
Replies: 0
Views: 52

International enrollments at American universites

Dear Colleagues, The Trump administrations attempts to make it harder to travel and restrictions on getting visas to the United States has had an effect on enrollment by foreign students at American universities. This is sad because foreign students are an important source of income to American univ...
by Joseph Malkevitch
Fri Sep 08, 2017 4:58 pm
Forum: Math is More: General Discussion
Topic: Discrete mathematics book
Replies: 0
Views: 33

Discrete mathematics book

Dear Colleagues, Unfortunately, many people who have an interest in mathematics, including mathematics majors, don't learn as much discrete mathematics as they might. Discrete mathematics is less hierarchical usually than continuous mathematics, in particular the mathematics that leads up to Calculu...
by Joseph Malkevitch
Thu Sep 07, 2017 3:55 pm
Forum: Math is More: General Discussion
Topic: Utility
Replies: 0
Views: 33

Utility

Dear Colleagues, This semester (Fall, 2017) Barry Mazur, Eric Maskin, and Amartya Sen are teaching a course with a "philosophy tag" at Harvard University called "Utility." Utility refers to the notion of measuring the "value" of a thing (money, a college education) or o...
by Joseph Malkevitch
Sun Sep 03, 2017 9:49 am
Forum: Math is More: General Discussion
Topic: Plimton 322 and Babylonian mathematics
Replies: 0
Views: 43

Plimton 322 and Babylonian mathematics

Dear Colleagues, Determining exactly what mathematics was accomplished in the ancient past is a hard job, partly because not that much direct evidence has come down to us, and there is the issue of viewing the past from a position of present knowledge. This blog column tries to put in perspective so...
by Joseph Malkevitch
Fri Sep 01, 2017 5:36 pm
Forum: Math is More: General Discussion
Topic: Physicist's biographical essay
Replies: 0
Views: 42

Physicist's biographical essay

Dear Colleagues,

Some may enjoy this rather interesting historical/biographical essay by an American physicist.

https://arxiv.org/pdf/1708.09093.pdf

Regards,

Joe
by Joseph Malkevitch
Wed Aug 30, 2017 10:44 am
Forum: Math is More: General Discussion
Topic: Geometry and topology of crystals
Replies: 0
Views: 42

Geometry and topology of crystals

Dear Colleagues,

The images (not to mention the content) in this lavishly illustrated set of slides from a talk by Vanessa Robbins (Australia) are well worth a look.

https://members.loria.fr/Monique.Teilla ... d_talk.pdf

Regards,

Joe
by Joseph Malkevitch
Wed Aug 30, 2017 10:38 am
Forum: Math is More: General Discussion
Topic: Too much Calculus? Too little linear algebra?
Replies: 0
Views: 39

Too much Calculus? Too little linear algebra?

Dear Colleagues,

Here is a though provoking essay by MIT's Gilbert Strang about undergraduate mathematics curriculum, as it relates to Calculus and linear algebra.

http://www-math.mit.edu/~gs/papers/essay.pdf

Regards,

Joe
by Joseph Malkevitch
Sun Aug 27, 2017 5:38 pm
Forum: Math is More: General Discussion
Topic: Repugnance of air-conditioning
Replies: 0
Views: 49

Repugnance of air-conditioning

Dear Colleagues, Alvin Roth has called attention to a recent article about the "repugnance" associated in the past with air-conditioning: https://www.theatlantic.com/technology/archive/2017/08/the-moral-history-of-air-conditioning/536364/ When I was younger during warm weather train statio...
by Joseph Malkevitch
Fri Aug 25, 2017 1:03 pm
Forum: Math is More: General Discussion
Topic: Discrete geometry videos
Replies: 0
Views: 41

Discrete geometry videos

Dear Colleagues, A conference was recently held in Budapest to honor the 70th birthday of the distinguished geometer Imre Bárány: Discrete Geometry and Convexity (Bárány 70) Videos of the presentations, which vary greatly, in their technicality are posted at this site, but many of the talks have dis...
by Joseph Malkevitch
Thu Aug 24, 2017 12:43 pm
Forum: Math is More: General Discussion
Topic: Teacher shortages
Replies: 0
Views: 49

Teacher shortages

Dear Colleagues, If one underpays teachers and belittles the contributions they make to society for long enough it does indeed affect the market for getting teachers at all, no less those that are qualified and enjoy teaching. Here is a recent account: http://educationopportunitynetwork.org/what-hap...

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