French mathematician and philosopher René Descartes died #OTD in 1650.
He is known for his influential arguments for substance dualism, where mind and body are considered to have distinct essences, one being characterized by thought, the other by spatial extension. He has been dubbed the "Father of Modern Philosophy" and the "Father of Modern Mathematics."
https://en.wikipedia.org/wiki/Ren%C3%A9_Descartes
Books by René Descartes at PG:
https://www.gutenberg.org/ebooks/author/44
Why nothing matters
It took centuries for people to embrace the zero. Now it’s helping neuroscientists understand how the brain perceives absences
By Benjy Barnett. Edited by Richard Fisher.
"A scientist worthy of the name, above all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. "
~Henri Poincaré (29 April 1854 – 17 July 1912)
Poincaré at PG:
https://www.gutenberg.org/ebooks/author/5958
Algebra is more than alphabet soup – it’s the language of algorithms and relationships
By Courtney Gibbons
Alan Turing’s Lost Work Could Reveal How Tigers Got Their Stripes
The world-famous mathematician Alan Turing found a possible mechanism for iconic animal patterns thanks to differential equations
By Manon Bischoff
English mathematician Henry Briggs died #OTD in 1630.
He is notable for changing the original logarithms invented by John Napier into common (base 10) logarithms, which are sometimes known as Briggsian logarithms in his honour. The specific algorithm for long division in modern use was introduced by Briggs c. 1600 AD. Historically', the "common logarithm" was known by its Latin name logarithmus decimalis or logarithmus decadis.
Prime numbers, the building blocks of mathematics, have fascinated for centuries − now technology is revolutionizing the search for them
By Jeremiah Bartz
Prime numbers at PG:
https://www.gutenberg.org/ebooks/search/?query=prime+numbers
“I Reunite Architecture and Perspective”: Hirschvogel’s *Geometria* (1543)
One theory about wormholes — those speculative cosmological structures that tunnel between distant points in the universe — holds that spacetime can be folded like a piece of paper, bringing the near and far into proximity.
https://publicdomainreview.org/collection/hirschvogel-s-geometria-1543/
Online version:
https://digital.slub-dresden.de/werkansicht/dlf/8077/1?tx_dlf%5Bpagegrid%5D=1&cHash=b4db56391c1bb332830d76c2e3d08615
John Nash, The Mathematical Genius Whose Battle With Schizophrenia Inspired 'A Beautiful Mind'
Although John Nash's career in mathematics was hampered by a paranoid schizophrenia diagnosis in 1959, he went on to win a Nobel Prize in economics in 1994 for his work on game theory.
By Austin Harvey
https://allthatsinteresting.com/john-nash
More information:
https://en.wikipedia.org/wiki/John_Forbes_Nash_Jr.
Epic Effort to Ground Physics in Math Opens Up the Secrets of Time
By mathematically proving how individual molecules create the complex motion of fluids, three mathematicians have illuminated why time can’t flow in reverse.
By Leila Sloman
Mathematical physics at PG:
https://www.gutenberg.org/ebooks/subject/7053
Spiral into the ‘golden ratio’ – and separate the myths from the maths
Named for the Italian mathematician Leonardo Bonacci (c1170-1240), the Fibonacci sequence refers to a numerical set that, usually starting with zero and one, adds the previous two integers together to arrive at the next (0,1, 1, 2, 3, 5, 8, 13, 21, etc).
https://aeon.co/videos/spiral-into-the-golden-ratio-and-separate-the-myths-from-the-maths
More information about the Fibonacci sequence:
https://en.wikipedia.org/wiki/Fibonacci_sequence
Imaginary numbers are real
These odd values were long dismissed as bookkeeping. Now physicists are proving that they describe the hidden shape of nature
Karmela Padavic-Callaghan
Mathematics - Philosophy at PG:
https://www.gutenberg.org/ebooks/subject/17657
《大學入門微積分》筆記
Introduction to University Calculus Notes吾習單維彰教授《大學入門微積分》之課，謹將筆記照片上傳於網路。感謝單教授與國立中央大學之辛勤教誨與付出！
I have studied Professor Shann Wei-chang’s course Introduction to University Calculus and hereby upload photos of my notes to the internet. I sincerely thank Professor Shann and National Central University for their dedicated teaching and efforts!
如欲下載原圖，請訪問吾之網誌：《大學入門微積分》筆記
If you want to download the original image, please visit my weblog: Introduction to University Calculus Notes
原影片課程：YouTube原版 bilibili搬運
#筆記 #數學 #基礎 #微積分 #入門 #單維彰 #大學 #大學入門微積分 #中央大學 #笔记 #数学 #基础 #微积分 #入门级r #单维彰 #大学 #大学入门微积分 #中央大学 #note #math #mathematics #basic #calculus #introduction #Shann_Wei-chang #university #college #NCU
This month's Distributed Proofreaders blog delves into the newly uploaded "Newton's Principia."
"In it, Newton expounds, with mathematical proof, what is now the bedrock of modern physics: his groundbreaking laws of motion and universal gravitation, and his explanations of the motion of planets, moons, comets, tides, fluids, and other physical phenomena."
https://blog.pgdp.net/2025/08/01/newtons-principia/
Newton's Principia at PG:
![The word algebra comes from the title of al-Khwarizmi's book Al-Jabr.[13]
Al-Khwarizmi - Esposito, John L. , ed. (1999) The Oxford History of Islam, Oxford University Press ISBN: 0195107993. ; April 2006 (upload date) by Spm
https://en.wikipedia.org/wiki/Algebra#/media/File:Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg](/proxy/post_attachment/714514/2871b612b3.jpg "The word algebra comes from the title of al-Khwarizmi's book Al-Jabr.[13]
Al-Khwarizmi - Esposito, John L. , ed. (1999) The Oxford History of Islam, Oxford University Press ISBN: 0195107993. ; April 2006 (upload date) by Spm
https://en.wikipedia.org/wiki/Algebra#/media/File:Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg")
