…https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944... 希尔伯特的研究领域极广。在诸多成就中,他最出名的就是那 23 个对后续数学发展影响深远的“希尔伯特问题”:Benjamin Yandell 的《The Honors Class - Hilbert's Problems and Their Solvers》,Natick, MA: A. K. Peters, 2002. [ISBN:1-56881-141-1]。虽然自 Yandell 这本书出版以来,其中一些问题已经有了重大进展,但它依然是一本很好的入门读物。
…https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944... Hilbert's mathematical range was enormous. Among many things, he was known for his 23 "Hilbert problems" which influenced a lot of subsequent mathematics: Benjamin Yandell, "The Honors Class - Hilbert's Problems and Their Solvers". Natick, MA: A. K. Peters, 2002. [ISBN:1-56881-141-1] There's been significant progress on some of the problems since Yandell's book, but it's still a good introduction.
…探讨了数学史上来自 8 个学科的一些重要经典问题:算术、计算、代数、几何、微积分、组合数学、概率论、逻辑学。绝了!Yandell 的《The Honors Class: Hilbert's problems and their solvers》,里面有大量小传记,并对希尔伯特的每个著名问题做了简要介绍。Lawvere 与 Schanuel 的《Conceptual Mathematics》,讲了一些范畴论(category theory)的基础概念…
…Discusses some important classical problems in the history of mathematics taken from 8 subjects: arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, logic. Wow! Yandell - The Honors Class: Hilbert's problems and their solvers. Lots of mini biographies with some information describing each of Hilbert's famous problems. Lawvere & Schanuel- Conceptual Mathematics. Some basic notions of category…
…https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944... 希尔伯特的研究领域极广。在诸多成就中,他最出名的就是那 23 个对后续数学发展影响深远的“希尔伯特问题”:Benjamin Yandell 的《The Honors Class - Hilbert's Problems and Their Solvers》,Natick, MA: A. K. Peters, 2002. [ISBN:1-56881-141-1]。虽然自 Yandell 这本书出版以来,其中一些问题已经有了重大进展,但它依然是一本很好的入门读物。
…https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944... Hilbert's mathematical range was enormous. Among many things, he was known for his 23 "Hilbert problems" which influenced a lot of subsequent mathematics: Benjamin Yandell, "The Honors Class - Hilbert's Problems and Their Solvers". Natick, MA: A. K. Peters, 2002. [ISBN:1-56881-141-1] There's been significant progress on some of the problems since Yandell's book, but it's still a good introduction.
…探讨了数学史上来自 8 个学科的一些重要经典问题:算术、计算、代数、几何、微积分、组合数学、概率论、逻辑学。绝了!Yandell 的《The Honors Class: Hilbert's problems and their solvers》,里面有大量小传记,并对希尔伯特的每个著名问题做了简要介绍。Lawvere 与 Schanuel 的《Conceptual Mathematics》,讲了一些范畴论(category theory)的基础概念…
…Discusses some important classical problems in the history of mathematics taken from 8 subjects: arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, logic. Wow! Yandell - The Honors Class: Hilbert's problems and their solvers. Lots of mini biographies with some information describing each of Hilbert's famous problems. Lawvere & Schanuel- Conceptual Mathematics. Some basic notions of category…