雅各布·伊萊·古德曼(英語:Jacob Eli Goodman,1933年11月15日—2021年10月10日[2])是一名美國幾何學家,他職業生涯的大部分時間都在紐約市立學院度過,並擔任該校的名譽教授[3]。
Quick Facts 雅各布·E·古德曼Jacob E. Goodman, 出生 ...
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古德曼和他的長期合作者理察·M·波拉克共同提出「允許排列序列」和「布線圖」等概念[4]這些概念在離散幾何學中,特別是在偽線排列和(更廣泛地說)定向擬陣的研究中發揮了重要作用。他與波拉克的合作成果包括:關於多胞形階類型數的第一個非難界值[5],以及哈德維格橫向定理在高維度上的推廣[6]。他和波拉克是《離散與計算幾何學》雜誌的創始編輯[7]。
古德曼是「煎餅問題」的提出者,這是一個關於排列組合的基本問題,他用筆名哈利·德懷特(Harry Dweighter)發表了這篇論文[8][9]。這個問題產生了煎餅排序的概念[9][10][11]。
古德曼與約瑟夫·奧羅克共同編輯了《離散與計算幾何手冊》(Handbook of Discrete and Computational Geometry)一書[12]。
1999年,古德曼重拾舊愛——音樂創作,並於2002年成為紐約作曲家協會的創始主席[13][14]。
- Dweighter, Harry; Garey, Michael R.; Johnson, David S.; Lin, Shen, Solutions of Elementary Problem E2569, American Mathematical Monthly, 1977, 84: 296, JSTOR 2318878, doi:10.2307/2318878
- Goodman, Jacob E., Proof of a conjecture of Burr, Grünbaum, and Sloane, Discrete Mathematics, 1980, 32: 27–35, doi:10.1016/0012-365x(80)90096-5
- Goodman, Jacob E.; Pollack, Richard, Multidimensional sorting, SIAM Journal on Computing, 1983, 12 (3): 484–507, doi:10.1137/0212032
- Goodman, Jacob E.; Pollack, Richard, Semispaces of configurations, cell complexes of arrangements, Journal of Combinatorial Theory, Series A, 1984, 37 (3): 257–293, doi:10.1016/0097-3165(84)90050-5
- Goodman, Jacob E.; Pollack, Richard, Foundations of a theory of convexity on affine Grassmann manifolds, Mathematika, 1995, 42 (2): 305–328, doi:10.1112/s0025579300014613
- Goodman, Jacob E.; Pollack, Richard; Sturmfels, Bernd, The intrinsic spread of a configuration in R^d, Journal of the American Mathematical Society, 1990, 3: 639–651, doi:10.1090/s0894-0347-1990-1046181-2
- Cappell, Sylvain; Goodman, Jacob E.; Pach, János; Pollack, Richard; Sharir, Micha; Wenger, Rephael, Common tangents and common transversals, Advances in Mathematics, 1994, 106 (2): 198–215, doi:10.1006/aima.1994.1056
- Goodman, Jacob E.; Pach, János; Pollack, Richard (編), Surveys on Discrete and Computational Geometry: Twenty Years Later, Contemporary Mathematics 453, American Mathematical Society, 2008
Bjorner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M., Oriented Matroids, 2nd Ed., Encyclopedia of Mathematics and its Applications 46, Cambridge University Press, 1999。
Goodman, Jacob E.; Pollack, Richard, There are asymptotically far fewer polytopes than we thought, Bulletin of the American Mathematical Society, 1986, 46: 127–129, doi:10.1090/s0273-0979-1986-15415-7
Goodman, Jacob E.; Pollack, Richard, Hadwiger's transversal theorem in higher dimensions, Journal of the American Mathematical Society, 1988, (1): 301–309
Goodman, Jacob .; O'Rourke, Joseph, Handbook of Discrete and Computational Geometry, Encyclopedia of Mathematics and its Applications, 2nd Ed. 46, CRC Press, 2004