math prof

@mathematicsprof71k followers

Ex math prof, ex Lt. Comdr PHS, ex ultra-marathon runner, ex servant to cats; present: keeping liver, kidneys, pancreas, heart, lungs in semi-workable form.

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1Nov 14, '20Quote by a forest ranger at Yosemite National Park on why it is hard to design the perfect garbage bin to keep bears from breaking into it: “There is considerable overlap between t242×071k13k1.3k
2Apr 23, '24I sat next to a guy on a plane once and after asking, I said I had a Ph.D in math. He said he only studied hs math and hated quadratic eq. He said I bet you have to solve a lot of 121×1.2M19k258613
3Nov 23, '23I had a dream last night that I solved the Goldgach Conjecture so I got up half asleep and jotted down a summary of the proof so I wouldn't forget it. I got up this morning eager t40.2×398k3.8k211158
4Nov 18, '23If there was one thing that really 'blew me away' as an undergrad it was Cauchy's Residue Theorem. The idea that you could evaluate integrals by adding up some strange things calle37.4×371k1.1k72334
5Jun 9, '19Sunday joke: Picked up a hitch-hiker. Seemed like a nice guy. After a few miles, he asked me if I wasn't afraid that he might be a serial killer. I told him the odds of two serial 21.6×06.5k1.1k114
7Mar 5, '20In calc when teaching the 'min surface area of a can with given vol, of which soln is diameter = ht, I wrote a cat foot company telling them how much they'd save by making their ca11.6×03k560216
8Dec 31, '102011 is also the sum of 11 CONSECUTIVE prime numbers: 2011=157+163+167+173+179+181+191+193+197+199+21111×02872.2k0
10Dec 2, '24I had a dream last night that I proved the Goldbach Conjecture. I didn't want to forget the proof so I momentarily got up and scribbled it on a sheet of paper. This morning it read7.0×69k2.5k142136
11Jun 8, '20Quote of the day: “There is considerable overlap between the intelligence of the smartest bears and the dumbest tourists.” Yellowstone Park Ranger on why it is hard to design a bea5.7×01.4k39358
13Sep 18, '23I'm writing a math book, but I'm going to make the title close to that of a famous novel so when people google the novel they'll find mine. I'm thinking about Wuthering Hyperbolas.5.6×55k3481425
15Mar 14, '19I recently got a phone call from someone who represented a security company who said I had a virus on my computer and offered to help. He said he only needed the password of my com4.8×01.2k3728
17Apr 20, '24Before computers, I once found the inverse of a 50x50 matrix by hand! Fortunately, it was an orthogonal matrix.4.4×43k5403736
18Dec 4, '17I just got a phony telephone call claiming to be my internet provider asking me for my password. I obliged, telling them it was the last 6 digits of pi.4.3×01.1k3230
19Jun 17, '24Today, my wife and I celebrated our 56th wedding anniversary. My wife admitted I wasn't the best 'kisser' before we were married, but I was the only one who ever explained to her t4.0×40k5682057
20Aug 29, '20If there was one thing that really 'blew me away' as an undergrad it was Cauchy's Residue Theorem. The idea that you could evaluate integrals by adding up some strange things calle4.0×091395136
21Mar 30, '24I once walked into my PDE class on the first day of class and wrote some of the PDEs that we would solve during the term. Then a person came and said I was in the wrong room. I was4.0×40k3983933
22May 4, '18Twenty equations that changed biology. What did I miss?3.6×070433028
24May 23, '22As an undergraduate, I wasn't super excited about mathematics until I learned about Cauchy's Residue theorem and how to evaluate real and complex integrals using them. Was there an3.3×067745132
25Feb 16, '19World famous organizing and simplifying consultant Marie Kondo simplifies the equation y = x - x^2.3.3×071328124
26Oct 29, '19My advisor's advisor, advisor, advisor, advisor, advisor was Leonhard Euler. I tell my calculus students, this is a good example of a monotone decreasing sequence.3.0×096513315
27Feb 22, '21A nice little illustration of Bayes' Theorem.2.8×067316187
28Feb 2, '18I hope every math student knows about MIT's Mathlets that gives animations of many math concepts.2.7×06012506
29Jul 20, '20Math quote: With logic we prove, with intuition we create. Poincare.2.7×067919127
30Sep 29, '23What a Dream Team of mathematicians. In the 1800s Gottingen Univ had Gauss, Riemann, Dirichlet, Dedekind, Klein, Hilbert and others.2.6×26k3122323
31Aug 25, '19A math teacher imparts final words of encouragement and hope to a graduating math student; 'may all your matrices be diagonalizable, your subgroups normal, and your poles in the le2.5×060713823
32Nov 25, '18In calc when teaching the 'min surface area of a can with given vol, of which soln is diameter = ht, I wrote a cat foot company telling them how much they'd save by making their ca2.5×062914420
33Apr 17, '20I’m writing a statistics book and can’t think of a title, so I’m thinking of tweaking the title of a famous novel so when people google it, they’ll find my book. So far I'm thinkin2.4×04547828
34Sep 29, '20Five ways to prove P=>Q 1. P => Q (direct proof) 2. -Q =>-P (proof by contrapositive) 3. (P ^ -Q) => Q (proof by contradicting the conclusion) 4. (P ^ -Q) => -P (pro2.2×054112862
35Apr 18, '22Famous one-line proof.2.2×057110165
36Apr 27, '18Twitter has so many smart people. Here are some relatively unknown math identities given to me by some of my great followers.2.2×03981877
37Nov 28, '18Mean professor problem: Prove log (1+2+3)=log (1)+log (2)+log (3). In case you don't get it, just remember log (1) = 0 and 1+2+3 =6. Once made all problems like this on an exam, lu2.1×056711417
38Aug 24, '18I'm not a Field’s Medal winner but I know some good mathematicians and often when they tell me about a deep idea they say, “the way to look at it is” which has always been a big he2.1×060710812
39Nov 21, '21Math quote: "The difference between a poet and a mathematician is that the poet tries to get his head into the heavens while the mathematician tries to get heaven into his head." G2.1×058111429
40Feb 23, '19Math quote: A rule of thumb for any good math talk is that it should have one proof and one joke and they should not be the same. Ron Graham2.0×05231448
41Dec 19, '17Ha, sorry bout that, my inner demons made to do it.2.0×04841440
42Jul 6, '18Over 2500 lectures on mathematics organized by subject matter and level of mathematics. #math #maths1.9×039214960
43May 21, '19Math quote: A large part of mathematics which becomes useful developed with absolutely no desire to be useful and in a situation where nobody could possibly know in what area it wo1.9×046714810
44Sep 19, '20Do you have a lot of time on your hands? Here are many unsolved problems and conjectures in mathematics.1.9×036812974
45Sep 10, '21If you are currently taking (ordinary) differential equations, you HAVE to check out @prof_g videos. They cover everything from visual solutions, bifurcations, strange attractors, 1.8×033475149
46Jun 17, '19Nice1.8×044811236
47Jul 22, '20Before computers, I once computed by hand the inverse of a 40 x 40 matrix. Fortunately, the matrix was orthogonal.1.8×0619345
48Sep 2, '20I just got a scary phone call; my credit card company said someone had bought $$ items on it. I told them it wasn't me. They said they wouldn't bill me and would even fix it if the1.8×0513863
49Jun 19, '20Math quote: "Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions." Felix Klein1.8×050010115
50Mar 12, '18Mean professor problem: Prove log (1+2+3)=log (1)+log (2)+log (3). In case you don't get it, just remember log (1) = 0 and 1+2+3 =6. Once made all problems like this on an exam, lu1.8×04211342
51Jan 5, '19600 free online courses from 190 world-wide universities.1.8×031814754
52Jan 7, '20Here is a very readable book on functional analysis by a very lucid writer.1.7×037176103
53Dec 28, '24Math quote: The apex of mathematical achievement occurs when two or more fields that were thought to be entirely unrelated turn out to be closely intertwined. — Gian-Carlo Rota1.7×17k3382943
54Feb 9, '25Damn, I wish I'd seen that pic in freshman calc class!1.7×17k32831117
56Dec 24, '19Fascinating.1.7×044912119
57Nov 3, '18Made this table for a class recently. Just thought I'd share.1.6×037112330
58Feb 23, '19Math students: Want to impress your teacher by giving the correct pronunciation of famous mathematician's names, like OY-ler, not YOU-ler? Here are the correct pronunciation of man1.6×030912936
59Nov 24, '17Math quote: There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else - but persistent. Raoul1.6×03611450
60Dec 10, '18View post on X1.6×04081097
61Feb 22, '21Shakespeare wrote King Lear during a plague, Giovanni Boccaccio wrote the Decameron during the Black Death, and Newton invented calculus and discovered the Law of Gravity during th1.6×04157212
62Sep 10, '19I thought this note in a recent textbook was nice.1.5×04091027
63Sep 4, '21Interesting.1.5×04305947
64Jan 30, '21If you are currently taking (ordinary) differential equations, you HAVE to check out @prof_g videos. They cover everything from visual solutions, bifurcations, strange attractors, 1.5×029770107
65Mar 11, '20Interesting.1.5×039310420
66Nov 13, '17Math quote: The purpose of mathematical models is not to fit to data but to sharpen the questions. Samuel Karlin1.5×03191450
67Aug 6, '19Professor once proved 80% of what she said was the most beautiful theorem she'd ever seen, then assigned me to supply the last 20%. Next day I gave her my completed proof. Next day1.5×0407984
68Jul 18, '20Nice.1.5×04038620
69Apr 2, '18Looking for good math problems? The mathematics dept at Iowa State University has been asking its students weekly math problems for years. Here they are with solutions.1.5×031211834
70Dec 20, '18As an undergrad, I had a prof who laid everything out in perfect order. I also had a prof who rambled, introduced extraneous topics, etc, so I gave the first prof good ratings and 1.4×03147110
71Feb 11, '20Before computers, I once inverted a 30 by 30 matrix by hand. I was fortunate though that the matrix was orthogonal.1.4×0452514
72Mar 28, '20Something well known to any student of calculus, but still nice to see.1.4×03549223
73May 24, '19In grad school, I was interested in statistics so I went to a talk by Laurent Schwartz called Distribution Theory. I thought it meant normal dist etc, but when he started off with 1.4×0418529
74Jul 27, '20Math quote: The book of nature can be read only by those who know the language in which it is written, and that language is mathematics. Galileo 16231.4×04027211
75Aug 10, '19Math quote: What I don't like about measure theory is that you have to say "almost everywhere" almost everywhere. Kurt Friedrichs (during an invited talk at the 2010 AMS meeting in1.4×0364914
76May 1, '20There are mathematical geniuses whose brains run like Ferraris while yours runs like a Model-T, but certain mathematicians, thinking Ramanujan, have a certain mystic about them. An1.3×03077852
77Feb 22, '21Famous equations from biology1.3×03037844
78May 9, '18I SOLVED THE RIEMANN!1.3×0338901
79Nov 17, '20My advisor's advisor, advisor, advisor, advisor, advisor was Leonhard Euler. I tell my analysis students, this is a good example of a monotone decreasing sequence. Do you have a fa1.3×0414199
80Mar 8, '19A student comes to my office and asks if I remembered a female student from 20 years earlier. I did remember her so I tell the student 'why yes I remember her,' whereupon the stude1.3×0436392
81Oct 30, '20Physics is the unfolding of the laws of the intelligible world, pure mathematics is the unfolding of the laws of human intelligence. J. Sylvester1.3×0386764
82Aug 23, '19Math quote: It is an error to believe rigor is the enemy of simplicity. Rigor forces us to find simpler methods of proof. ... David Hilbert1.3×03161005
83Jun 21, '19Walmart is using sensors to determine when shelves are empty, when floors are dirty, produce spoiled, etc. Walmart calls this its AI technology but seems more like simple feedback 1.2×0305598
84Aug 14, '19Met my wife while writing my PhD thesis. I ask her if she ever met a real PhD mathematician. She said she once had a school classmate that was good in math. I laughed and asked her1.2×0393444
85Jan 22, '19Did you know that e^pi - pi is ALMOST an integer? It is 19.999099979... . For a fun diversion in 'almost integers' see1.2×02948412
86Nov 14, '17Math quote: A rule of thumb for any good math talk is that it should have one proof and one joke and they should not be the same. Ron Graham1.2×0305990
87Jul 25, '18Prof: How would you solve y” + y = x^2 Student: Method of Undetermined Coefficients Prof: How would you solve y” + y = sec x Student: Variation of Parameters Prof: How would you so1.2×0298844
88Sep 6, '21Damn, mathematicians never have fun experiments like physicists.1.2×03405314
89Oct 2, '20I went to the Univ fitness center today for the first time in six months and promptly forgot the combination to my locker so they called in a guy with a bolt cutter to open it. The1.2×0402232
90Sep 19, '20Spotted on a post in a Paris suburb.1.1×0319695
92Jan 30, '19I wish someone would write a book giving illustrative toy examples of 100 famous (abstract) theorems.1.1×03005315
93May 5, '19I once knew a very, very good mathematician, maybe no 'Fields Medal Winner' good, but very good. He told me once that whenever he learned something new in math, but very hard, he'd1.1×03035118
94May 24, '20A good mathematical joke is better, and better mathematics, than a dozen mediocre papers. — J. E. Littlewood1.1×02946310
95Jan 26, '21One might say where mathematics and spirituality merge.1.1×0310548
96Apr 29, '19In grad school, I once made a boo-boo teaching freshman calculus. No serious prob, but now there are a number of middle-aged people unable to compute the rate of change of their sh1.1×0324483
97Oct 26, '20Old Sunday joke: Picked up a hitch-hiker. Seemed like a nice guy. After a few miles, he asked me if I wasn't afraid that he might be a serial killer. I told him the odds of two ser1.0×0314428
98Jan 7, '19After being married over 50 years, my wife asked me if I remember the time we went out on our first dance. I said no but I can still remember that 70 was the SOAP assembly language1.0×0305413
99Jul 22, '20In grad school, I once made a boo-boo teaching freshman calculus. No serious prob, but now there are a number of middle-aged people unable to compute the rate of change of their sh1.0×0293406
100Jan 16, '21Before computers, I once found the inverse of a 50 x 50 matrix by HAND! I was lucky though, the matrix was orthogonal.0.9×0301261

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