He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime.
Ia sering dijuluki sebagai Polymath, dan dalam bidang matematika sebagai Universalis Terakhir, karena ia menguasai semua disiplin pengetahuan yang ada sepanjang hidupnya.
As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics.
Sebagai seorang matematikawan dan fisikawan, ia memberikan kontribusi mendasar asli terhadap matematika murni dan terapan, fisika matematika, dan mekanika benda langit.
In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory.
Dalam penelitiannya tentang masalah tiga badan, Poincaré menjadi orang pertama yang menemukan sistem penentuan kekacauan yang menjadi dasar teori kekacauan modern.
Poincaré made clear the importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form.
Poincaré memperkenalkan prinsip relativitas modern dan merupakan orang pertama yang memperkenalkan transformasi Lorentz dalam bentuk simetrisnya sekarang.
Poincaré discovered the remaining relativistic velocity transformations and recorded them in a letter to Hendrik Lorentz in 1905.
Poincaré menemukan transformasi kecepatan relatif lainnya dan merekamnya dalam sebuah surat kepada fisikawan Belanda, Hendrik Lorentz (1853–1928) pada tahun 1905.
The Poincaré group used in physics and mathematics was named after him, after he introduced the notion of the group.
Kelompok Poincaré dalam fisika dan matematika mengambil namanya dari nama tokoh ini.
ISBN 1-56396-117-2. 1905.
ISBN 1-56396-117-2. 1905–10.
On the philosophy of mathematics: Ewald, William B., ed., 1996.
Dalam filsafat matematika: Ewald, William B., ed., 1996.
Contains the following works by Poincaré: 1894, "On the Nature of Mathematical Reasoning", 972–981. 1898, "On the Foundations of Geometry", 982–1011. 1900, "Intuition and Logic in Mathematics", 1012–1020. 1905–06, "Mathematics and Logic, I–III", 1021–1070. 1910, "On Transfinite Numbers", 1071–1074. 1905.
Contains the following works by Poincaré: 1894, "On the nature of mathematical reasoning," 972–81. 1898, "On the foundations of geometry," 982–1011. 1900, "Intuition and Logic in mathematics," 1012–20. 1905–06, "Mathematics and Logic, I–III," 1021–70. 1910, "On transfinite numbers," 1071–74.
ISBN 978-0-8218-5234-7. –
ISBN 1-56396-117-2. 1905–10.
Henri Poincaré's Bibliography Internet Encyclopedia of Philosophy: "Henri Poincaré Archived 2 February 2004 at the Wayback Machine" – by Mauro Murzi.
Internet Encyclopedia of Philosophy: "Henri Poincare Diarsipkan 2004-02-02 di Wayback Machine.
"Discussion of the Poincaré conjecture", In Our Time, 2 November 2006, BBC, hosted by Melvyn Bragg.
BBC In Our Time, "Discussion of the Poincaré conjecture," 2 November 2006, hosted by Melvynn Bragg.
Poincare Contemplates Copernicus at MathPages High Anxieties – The Mathematics of Chaos (2008)—BBC documentary directed by David Malone looking at the influence of Poincaré's discoveries on 20th century mathematics.
See Internet Archive Poincare Contemplates Copernicus at MathPages High Anxieties - The Mathematics of Chaos (2008) BBC documentary directed by David Malone looking at the influence of Poincaré's discoveries on 20th Century mathematics.