På dette site bruger vi cookies til at levere vores ydelser, forbedre performance, til analyseformål, og (hvis brugeren ikke er logget ind) til reklamer. Ved at bruge LibraryThing anerkender du at have læst og forstået vores vilkår og betingelser inklusive vores politik for håndtering af brugeroplysninger. Din brug af dette site og dets ydelser er underlagt disse vilkår og betingelser.
"In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1 million in prize money. There was some precedent for doing this: In 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of the agenda for mathematics in the twentieth century. The Millennium Problems are likely to acquire similar stature, and their solution (or lack of one) will play a strong role in determining the course of mathematics in the current century. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin, renowned expositor of mathematics, tells here what the seven problems are, how they came about, and what they mean for math and science." "These problems are the brass rings held out to today's mathematicians, glittering and just out of reach. In the hands of Devlin, "the Math Guy" from NPR's Weekend Edition, each Millennium Problem becomes a fascinating window onto the deepest and toughest questions in the field. For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life."--Jacket.… (mere)
Indeholder "Preface", "Zero. The Gauntlet is Thrown", "One. The Music of the Primes: The Riemann Hypothesis", " Appendix 1. Euklid's proof that there are infinitely many primes", " Appendix 2. How do mathematicians work out infinite sums?", " Appendix 3. How Euler discovered the Zeta function", "Two. The Fields We Are Made Of: Yang-Mills Theory and the Mass Gap Hypothesis", " Appendix. Group Theory: The Mathematics of Symmetry", "Three. When Computers Fail: The P versus NP Problem", "Four. Making Waves: The Navier-Stokes Equations", "Five. The Mathematics of Smooth Behavior: The Poincaré Conjecture", "Six. Knowing When the Equation can't Be Solved: The Birch and Swinnerton-Dyer Conjecture", " Appendix: Notation for infinite sums and products", "Seven. Geometry Without Pictures: The Hodge Conjecture", "Further Reading", "Index".
"Preface" handler om at Clay Institute i maj 2000 annoncerede syv priser på hver en million dollar for løsningen på syv vanskelige og vigtige matematiske problemer. Det gav efterspørgsel på en bog om problemerne. Faktisk mindst to, for Clay Institute bad Keith Devlin og Ian Stewart om at skrive en generel introduktion til hvert problem i den officielle problemformulering. Denne bog er anderledes, for ideen er blot at give en ide om hvad de syv problemer går ud på. Udover Clay Math Institute bogen kan man også finde en film på www.claymath.org som forsøger det samme. "Zero. The Gauntlet is Thrown" handler om ??? "One. The Music of the Primes: The Riemann Hypothesis" handler om ??? " Appendix 1. Euklid's proof that there are infinitely many primes" handler om ??? " Appendix 2. How do mathematicians work out infinite sums?" handler om ??? " Appendix 3. How Euler discovered the Zeta function" handler om ??? "Two. The Fields We Are Made Of: Yang-Mills Theory and the Mass Gap Hypothesis" handler om ??? " Appendix. Group Theory: The Mathematics of Symmetry" handler om ??? "Three. When Computers Fail: The P versus NP Problem" handler om ??? "Four. Making Waves: The Navier-Stokes Equations" handler om ??? "Five. The Mathematics of Smooth Behavior: The Poincaré Conjecture" handler om ??? "Six. Knowing When the Equation can't Be Solved: The Birch and Swinnerton-Dyer Conjecture" handler om ??? " Appendix: Notation for infinite sums and products" handler om ??? "Seven. Geometry Without Pictures: The Hodge Conjecture" handler om ??? "Further Reading" handler om forslag til yderligere læsning. "Index" er et almindeligt opslagsregister.
Clay Mathematical Institute udlovede i 2000 syv priser på hver en million dollar. Til hver pris hørte en lille opgave med at løse et matematisk problem, som ingen tidligere havde løst. ( )
"In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1 million in prize money. There was some precedent for doing this: In 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of the agenda for mathematics in the twentieth century. The Millennium Problems are likely to acquire similar stature, and their solution (or lack of one) will play a strong role in determining the course of mathematics in the current century. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin, renowned expositor of mathematics, tells here what the seven problems are, how they came about, and what they mean for math and science." "These problems are the brass rings held out to today's mathematicians, glittering and just out of reach. In the hands of Devlin, "the Math Guy" from NPR's Weekend Edition, each Millennium Problem becomes a fascinating window onto the deepest and toughest questions in the field. For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life."--Jacket.
▾Biblioteksbeskrivelser af bogens indhold
No library descriptions found.
▾LibraryThingmedlemmers beskrivelse af bogens indhold
Google Books — Indlæser...
(3.34)
1
"Preface" handler om at Clay Institute i maj 2000 annoncerede syv priser på hver en million dollar for løsningen på syv vanskelige og vigtige matematiske problemer. Det gav efterspørgsel på en bog om problemerne. Faktisk mindst to, for Clay Institute bad Keith Devlin og Ian Stewart om at skrive en generel introduktion til hvert problem i den officielle problemformulering. Denne bog er anderledes, for ideen er blot at give en ide om hvad de syv problemer går ud på. Udover Clay Math Institute bogen kan man også finde en film på www.claymath.org som forsøger det samme.
"Zero. The Gauntlet is Thrown" handler om ???
"One. The Music of the Primes: The Riemann Hypothesis" handler om ???
" Appendix 1. Euklid's proof that there are infinitely many primes" handler om ???
" Appendix 2. How do mathematicians work out infinite sums?" handler om ???
" Appendix 3. How Euler discovered the Zeta function" handler om ???
"Two. The Fields We Are Made Of: Yang-Mills Theory and the Mass Gap Hypothesis" handler om ???
" Appendix. Group Theory: The Mathematics of Symmetry" handler om ???
"Three. When Computers Fail: The P versus NP Problem" handler om ???
"Four. Making Waves: The Navier-Stokes Equations" handler om ???
"Five. The Mathematics of Smooth Behavior: The Poincaré Conjecture" handler om ???
"Six. Knowing When the Equation can't Be Solved: The Birch and Swinnerton-Dyer Conjecture" handler om ???
" Appendix: Notation for infinite sums and products" handler om ???
"Seven. Geometry Without Pictures: The Hodge Conjecture" handler om ???
"Further Reading" handler om forslag til yderligere læsning.
"Index" er et almindeligt opslagsregister.
Clay Mathematical Institute udlovede i 2000 syv priser på hver en million dollar. Til hver pris hørte en lille opgave med at løse et matematisk problem, som ingen tidligere havde løst. (