| 词条 | Richard L. Bishop |
| 释义 |
| name = Richard L. Bishop | image = | image_size = | alt = | caption = | birth_date = {{abbr|c.|circa}} {{birth year and age|1932}} | birth_place = | death_date = | death_place = | nationality = American | fields = Mathematics | workplaces = University of Illinois at Urbana–Champaign | alma_mater = Massachusetts Institute of Technology Case Institute of Technology | doctoral_advisor = Isadore Singer | doctoral_students = Stephanie B. Alexander | known_for = | awards = }} Richard Lawrence Bishop (born {{abbr|c.|circa}} 1932) is an American mathematician, a professor emeritus of mathematics at the University of Illinois at Urbana–Champaign.[1] The Bishop–Gromov inequality in Riemannian geometry is named after him (with Mikhail Gromov). Bishop went to Case Institute of Technology as an undergraduate, earning a B.S. in 1954. Next he earned his Ph.D. from the Massachusetts Institute of Technology in 1959, and immediately joined the UIUC faculty.[2] His thesis, On Imbeddings and Holonomy, was supervised by Isadore Singer.[3] At UIUC, his doctoral students included future UIUC colleague Stephanie B. Alexander.[3] He is the author of Geometry of Manifolds (with Richard J. Crittenden, AMS Chelsea Publishing, 1964,[4] translated into Russian 1967[5] and reprinted 2001[6]) and Tensor Analysis on Manifolds (with Samuel I. Goldberg, Macmillan, 1968,[7] reprinted by Dover Books on Mathematics, 1980[8]). In 2013, Bishop became one of the inaugural fellows of the American Mathematical Society.[9] References1. ^Emeritus faculty {{webarchive|url=https://web.archive.org/web/20140714121653/http://www.math.illinois.edu/People/emeritusfaculty.html |date=2014-07-14 }}, UIUC Mathematics, retrieved 2014-06-16. {{Authority control}}{{DEFAULTSORT:Bishop, Richard L.}}{{US-mathematician-stub}}2. ^Information from Bishop's web page at UIUC, retrieved 2014-06-16. 3. ^1 {{mathgenealogy|name=Richard Lawrence Bishop|id=9690}} 4. ^Review of Geometry of Manifolds by W. Klingenberg, {{MR|0169148}} 5. ^{{MR|0213981}} 6. ^1852066 7. ^Review of Tensor Analysis on Manifolds by T. J. Willmore, {{MR|0224010}} 8. ^{{MR|0615912}} 9. ^List of Fellows of the American Mathematical Society, retrieved 2014-06-16. 9 : 1930s births|Year of birth missing (living people)|Living people|20th-century American mathematicians|21st-century American mathematicians|Case Western Reserve University alumni|Massachusetts Institute of Technology alumni|University of Illinois at Urbana–Champaign faculty|Fellows of the American Mathematical Society |
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