谢尔顿·阿克斯勒

谢尔顿·杰·阿克斯勒(英语：Sheldon Jay Axler，1949年11月6日—)是一名美国数学家和数学教育家，主要研究方向为泛函分析与复变函数论之间的联系^[1]。他现任旧金山州立大学科学与工程学院主任^[1]，著有知名教材《线性代数应该这样学》(Linear Algebra Done Right)。

阿克斯勒生于美国费城。1967年，他就读于佛罗里达州迈阿密的帕尔梅托高中(Palmetto High School)。1971年，他以最高殊荣获得了普林斯顿大学的数学学士学位。^[1]1975年，他在当纳德·萨拉森(Donald Sarason)指导下获得了加州大学柏克莱分校数学博士学位^[1]，论文题为《L^∞的子代数》("Subalgebras of L^∞")。他的博士后工作是在麻省理工学院^[1]担任门罗导师（英语：C.L.E. Moore Instructor）。

他在密歇根州立大学执教多年，并评上了终身教授。1991年，密歇根州立大学授予他“杰出教员奖”(Distinguished Faculty Award)。^[1]1997年，阿克斯勒前往旧金山州立大学工作，并于2002年担任该校数学系主任(Chair of the Mathematics Department)。^[1]他也是《美国数学月刊》的助理编辑和《数学通讯者（英语：The Mathematical Intelligencer）》的主编。^[1]2012年，他入选美国数学学会会员。^[2]1996年，美国数学协会为表彰他写的小作品《Down with Determinants!》授予他莱斯特·佛特奖金（英语：Lester R. Ford Award）。^[3]^[1]

阿克斯勒原于1995年所著的《线性代数正确搞法/线性代数应该这样学》(Linear Algebra Done Right)现已成为一本享誉世界的名著，被全球超过120所大学当作课本使用。^[1]书中抛弃了以行列式为主的传统讲法，而是直接紧扣线性代数中最核心的算子理论。而且该书风格现代，讲解注重语言通俗与形象化，内容与线性泛函分析的理论直接接轨。后来布朗大学教授赛日·特瑞尔(Sergei Treil)也针锋相对地写了一本《线性代数错误搞法》(Linear Algebra Done Wrong)，并免费提供下载。^[4]特瑞尔写的是以行列式知识为主的传统风格线性代数教材。但他在前言中称自己的书也有独到之处。比如他认为“基底”比“线性相关”的概念更为重要，于是比一般教材更早地引入了基与线性变换的概念。^[4]

个人生活

阿克斯勒经常会骑单车前往学校。^[1]他的夫人名叫卡瑞(Carrie)。^[1]他家里养了2只孟加拉猫。^[1]

著作

《线性代数正确搞法/线性代数应该这样学》(Linear Algebra Done Right), third edition, Undergraduate Texts in Mathematics, Springer, 2015 (twelfth printing, 2009).
《全纯空间》(Holomorphic Spaces), with John E. McCarthy, and Donald Sarason, Cambridge University Press, 1998.
《调和函数论》(Harmonic Function Theory（页面存档备份，存于互联网档案馆）), second edition, with Paul Bourdon and Wade Ramey, Graduate Texts in Mathematics, Springer, 2001.
Harmonic Function Theory software, 一个用于操作调和函数的Mathematica软件包, version 7.00, released 1 January 2009 (previous versions released in 1992, 1993, 1994, 1996, 1999, 2000, 2001, 2002, 2003, and 2008).
《微积分预课：一部微积分的序曲》(Precalculus: A Prelude to Calculus), Wiley, 2009 (third printing, 2010).
《希尔伯特空间算子速览》(A Glimpse at Hilbert Space Operators（页面存档备份，存于互联网档案馆）), with Peter Rosenthal and Donald Sarason, Birkhäuser（英语：Birkhäuser）, 2010.
《大学代数》(College Algebra), John Wiley & Sons 2011.
《代数与三角学》(Algebra & Trigonometry), John Wiley & Sons, January 2011.

参考资料

^ ^1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 ^1.10 ^1.11 ^1.12 A New Dean of the College of Science and ngineering (pdf). 旧金山州立大学科学与工程学院. [2016-01-02]. （原始内容存档 (PDF)于2015-12-20）（英语）. Sheldon Axler became Dean of the College of Science and Engineering at SFSU in January 2002... Sheldon received an AB degree with highest honors from Princeton University in 1971 and a PhD in Mathematics from UC Berkeley in 1975. He held a postdoctoral position at MIT before joining the faculty of Michigan State University. In 1991 Sheldon received the Distinguished Faculty Award from Michigan State University. Sheldon has also held visiting or sabbatical positions at Indiana University, the Mathematical Sciences Research Institute, and UC Berkeley. In 1997 Sheldon was hired as Chair of the Mathematics Department at SFSU, a position he held until becoming Dean. Sheldon’s paper <Down with Determinants! > received the Lester Ford Award for expository writing from the Mathematical Association of America in 1996. That paper proposed a radical revision of linear algebra based upon simpler, cleaner proofs that avoid determinants. These ideas formed the basis for Sheldon's book <Linear Algebra Done Right>, which has been adopted as a textbook at over 125 universities and colleges, including eight CSU campuses, four UC campuses, and five Big Ten campuses. Sheldon's research focuses on the connection between functional analysis and complex analysis... Sheldon has served as Associate Editor of the American Mathematical Monthly and as Editor-in-Chief of the Mathematical Intelligencer. Currently he serves on the Editorial Board for the main series of mathematics textbooks published by Springer... Sheldon bicycles to SFSU most days from the West Portal section of San Francisco, where he shares his home with two Bengal cats and his partner Carrie. Sheldon can occasionally be seen running around SFSU's track or to the top of Twin Peaks
^ List of Fellows of the American Mathematical Society [美国数学学会会员列表]. 美国数学学会. [2012-11-03]. （原始内容存档于2019-04-22）（英语）.
^ Axler, Sheldon. Down with determinants!. Amer. Math. Monthly. 1995, 102: 139–154 [2016-01-02]. doi:10.2307/2975348. （原始内容存档于2016-01-06）（英语）.
^ ^4.0 ^4.1 Sergei Treil. Linear Algebra Done Wrong - A textbook for an honors linear algebra course. 布朗大学数学系. 2004年（英语）. 缺少或|url=为空 (帮助);

外部链接

谢尔顿·阿克斯勒的个人主页（页面存档备份，存于互联网档案馆）。
谢尔顿·阿克斯勒的X（前Twitter）帐户。
谢尔顿·阿克斯勒在数学谱系计画的资料。
旧金山州立大学科学与工程学院网站上贴出的通讯（页面存档备份，存于互联网档案馆）(含主任阿克斯勒的简介)。
Senior Fellow Sheldon Axler（页面存档备份，存于互联网档案馆）在加州科技委员会(California Council on Science and Technology)网站上的档案。
谢尔顿·阿克斯勒（页面存档备份，存于互联网档案馆）在zbMATH数据库中的资料。

[sfsu.edu-1] 1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 ^1.10 ^1.11 ^1.12 A New Dean of the College of Science and ngineering (pdf). 旧金山州立大学科学与工程学院. [2016-01-02]. （原始内容存档 (PDF)于2015-12-20）（英语）. Sheldon Axler became Dean of the College of Science and Engineering at SFSU in January 2002... Sheldon received an AB degree with highest honors from Princeton University in 1971 and a PhD in Mathematics from UC Berkeley in 1975. He held a postdoctoral position at MIT before joining the faculty of Michigan State University. In 1991 Sheldon received the Distinguished Faculty Award from Michigan State University. Sheldon has also held visiting or sabbatical positions at Indiana University, the Mathematical Sciences Research Institute, and UC Berkeley. In 1997 Sheldon was hired as Chair of the Mathematics Department at SFSU, a position he held until becoming Dean. Sheldon’s paper <Down with Determinants! > received the Lester Ford Award for expository writing from the Mathematical Association of America in 1996. That paper proposed a radical revision of linear algebra based upon simpler, cleaner proofs that avoid determinants. These ideas formed the basis for Sheldon's book <Linear Algebra Done Right>, which has been adopted as a textbook at over 125 universities and colleges, including eight CSU campuses, four UC campuses, and five Big Ten campuses. Sheldon's research focuses on the connection between functional analysis and complex analysis... Sheldon has served as Associate Editor of the American Mathematical Monthly and as Editor-in-Chief of the Mathematical Intelligencer. Currently he serves on the Editorial Board for the main series of mathematics textbooks published by Springer... Sheldon bicycles to SFSU most days from the West Portal section of San Francisco, where he shares his home with two Bengal cats and his partner Carrie. Sheldon can occasionally be seen running around SFSU's track or to the top of Twin Peaks

[2] List of Fellows of the American Mathematical Society [美国数学学会会员列表]. 美国数学学会. [2012-11-03]. （原始内容存档于2019-04-22）（英语）.

[3] Axler, Sheldon. Down with determinants!. Amer. Math. Monthly. 1995, 102: 139–154 [2016-01-02]. doi:10.2307/2975348. （原始内容存档于2016-01-06）（英语）.

[Done_Wrong-4] 4.0 ^4.1 Sergei Treil. Linear Algebra Done Wrong - A textbook for an honors linear algebra course. 布朗大学数学系. 2004年（英语）. 缺少或|url=为空 (帮助);

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