„Matematycy wiedzą bardzo dużo o niewielu sprawach, fizycy wiedzą bardzo mało o wielu sprawach.”
Źródło: Analogies between Analogies, The Mathematical Reports of S.M. Ulam and His Los Alamos Collaborators
Stanisław Marcin Ulam – polsko-amerykański matematyk, przedstawiciel lwowskiej szkoły matematycznej, współtwórca amerykańskiej bomby termojądrowej.
Ulam ma wielkie dokonania w zakresie matematyki i fizyki matematycznej w dziedzinach topologii, teorii mnogości, teorii miary, procesów gałązkowych. Ulam był także twórcą metod numerycznych, na przykład metody Monte Carlo. Był też jednym z pierwszych naukowców, którzy wykorzystywali w swych pracach komputer. Metody komputerowe zostały użyte przez Ulama do modelowania powielania neutronów oraz rozwiązania problemu drgającej struny zawierającej element nieliniowy .
Wikipedia
„Matematycy wiedzą bardzo dużo o niewielu sprawach, fizycy wiedzą bardzo mało o wielu sprawach.”
Źródło: Analogies between Analogies, The Mathematical Reports of S.M. Ulam and His Los Alamos Collaborators
„Cokolwiek jest warte powiedzenia, da się ująć w pięćdziesięciu lub mniej słowach.”
Źródło: Gian-Carlo Rota, Words spoken at the memorial service for S.M. Ulam, w: The Mathematical Intelligencer (1984)
Źródło: Przygody matematyka – Przedmowa do wydania z 1983 roku
Źródło: Przygody matematyka
“For a few years I had an off-and-on romance with her.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 2, Student Years, p. 45 (On Ada Halpern...)
Kontekst: Ada came from Lwów. She was a very good looking girl who was studying mathematics at the University of Geneva. For a few years I had an off-and-on romance with her.
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 3, Travels Abroad, p. 52
“It is not so much whether a theorem is useful that matters, but how elegant it is.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 274
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 2, Student Years, p. 34
Kontekst: Thinking very hard about the same problem for several hours can produce a severe fatigue, close to a breakdown. I never really experienced a breakdown, but have felt "strange inside" two or three times during my life.
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 6, Transition And Crisis, p. 119
Kontekst: There may be such a thing as habitual luck. People who are said to be lucky at cards probably have certain hidden talents for those games in which skill plays a role. It is like hidden parameters in physics, this ability that does not surface and that I like to call "habitual luck".
“Given this optimistic nature, I feel this way even now when I am past sixty.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 10, Back At Los Alamos, p. 208
Kontekst: I was still very hopeful that much work lay ahead of me. Perhaps because much of what I had worked on or thought about had not yet been put into writing, I felt I still had things in reserve. Given this optimistic nature, I feel this way even now when I am past sixty.
“In mathematics, as in physics, so much depends on chance, on a propitious moment.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 5, Harvard Years, p. 95
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 277
On the Ergodic Behavior of Dynamical Systems (LA-2055, May 10, 1955) in [Stanisław Marcin Ulam, Analogies between Analogies, The Mathematical Reports of S.M. Ulam and His Los Alamos Collaborators, University of California Press, 1990, http://ark.cdlib.org/ark:/13030/ft9g50091s/]
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 7, The University of Wisconsin, p. 125
“According to recent studies, at least one star out of three is multiple.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 13, Government Science, p. 258
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 2, Student Years, p. 37
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 4, Princeton Days, p. 76
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 3, Travels Abroad, p. 55
“Whatever is worth saying, can be stated in fifty words or less.”
as quoted by Gian-Carlo Rota in Words spoken at the memorial service for S. M. Ulam (The Lodge, Los Alamos, New Mexico, May 17, 1984), published in The Mathematical Intelligencer, Volume 6, Number 4 / December, 1984
In Heinz R. Pagels, The Dreams of Reason: The Computer and the Rise of the Sciences of Complexity, Ch. 3, p. 94; as quoted in Gaither's Dictionary of Scientific Quotations (Springer, 2008), p. 861
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 274
“Thoughts are steered in different ways.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 275
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 8, Los Alamos, p. 148
Attributed in Paul Hoffman, The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth (1998)
This has also been attributed, with variants, to Paul Erdős, who repeated the remark.
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 14, Professor Again, p. 267
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 5, Harvard Years, p. 96
as quoted by Olgierd Budrewicz in The melting-pot revisited: twenty well-known Americans of Polish background http://books.google.com/books?ei=jntPUNaTMafZ0QHMloGQBQ&id=pc51AAAAMAAJ&dq=Olgierd+Budrewicz%7C&q=Sometimes+I+muse#search_anchor, publish by Interpress, page 36, 1977.
Prologue, p. 5
Adventures of a Mathematician - Third Edition (1991)
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 5, Harvard Years, p. 91
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 278
Preface To the 1983 Edition, p. xxvii
Adventures of a Mathematician - Third Edition (1991)
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 1, Childhood, p. 12
“I am turned off when I see only formulas and symbols, and little text.”
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 275
Źródło: Adventures of a Mathematician - Third Edition (1991), Chapter 6, Transition And Crisis, p. 120