Gilbert Strang

William Gilbert "Gil" Strang (born November 27, 1934^[1]) is an American mathematician known for his contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing mathematics textbooks. Strang was the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology.^[2] He taught Linear Algebra, Computational Science and Engineering, and Learning from Data. His lectures are freely available on MIT OpenCourseWare.

Strang popularized the designation of the Fundamental Theorem of Linear Algebra as such.^[3][4]

Biography

Gilbert Strang was born in Chicago in 1934. His parents William and Mary Catherine Strang migrated to the USA from Scotland. He and his sister Vivian grew up in Washington DC and Cincinnati, and went to high school at Principia in St. Louis.

Strang graduated from MIT in 1955 with a Bachelor of Science in mathematics. He then received a Rhodes Scholarship to the University of Oxford, where he received his B.A. and M.A.^[5] from Balliol College in 1957.

Strang earned his Ph.D. from UCLA in 1959 as a National Science Foundation Fellow, under the supervision of Peter K. Henrici. His dissertation was titled "Difference Methods for Mixed Boundary Value Problems".^[6]

While at Oxford, Strang met his future wife Jillian Shannon, and they married in 1958. Following his Ph.D. at UCLA, they have lived in Wellesley, Massachusetts for almost all of his 62 years on the MIT faculty. The Strangs have three sons David, John, and Robert. They describe themselves as a very close-knit family. He retired on May 15, 2023 after giving his final linear algebra lecture at MIT.^[7]

Strang's teaching has focused on linear algebra which has helped the subject become essential for students of many majors. His video lectures are popular on YouTube and MIT OpenCourseWare. Strang founded Wellesley-Cambridge Press to publish Introduction to Linear Algebra (now in 6th edition) and ten other books.

University positions

• PhD student, UCLA (1957–1959)
• C. L. E. Moore instructor, MIT (1959–1961)
• NATO Postdoctoral Fellow, Oxford University (1961–1962)
• Mathematics faculty, MIT (1962–2023, as a full professor from 1970)^[8]

He has received honorary titles and fellowships from the following institutes:

• Alfred P. Sloan Fellow (1966–1967)
• Honorary Professor, Xi'an Jiaotong University, China (1980)
• Honorary Fellow, Balliol College, Oxford University (1999)
• Honorary Member, Irish Mathematical Society (2002)
• Fellow of the Society for Industrial and Applied Mathematics (2009)
• Doctor Honoris Causa, University of Toulouse (2010)
• Fellow of the American Mathematical Society (2012)^[9]
• Doctor Honoris Causa, Aalborg University (2013)

Awards

• Rhodes Scholar (1955)
• National Science Foundation Graduate Research Fellowship (1957)
• Chauvenet Prize, Mathematical Association of America (1977)^[10]
• American Academy of Arts and Sciences (1985)
• Award for Distinguished Service to the Profession, Society for Industrial and Applied Mathematics (2003)
• Lester R. Ford Award (2005)^[11]
• Von Neumann Medal, US Association for Computational Mechanics (2005)
• Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics (2007)^[12]
• Su Buchin Prize, International Congress (ICIAM, 2007)
• Henrici Prize (2007)
• National Academy of Sciences (2009)
• Irwin Sizer Award for the Most Significant Improvement to MIT Education (2020)^[13]

Service

• President, Society for Industrial and Applied Mathematics (1999, 2000)^[14]
• Chair, U.S. National Committee on Mathematics (2003–2004)
• Chair, National Science Foundation (NSF) Advisory Panel on Mathematics
• Board Member, International Council for Industrial and Applied Mathematics (ICIAM)
• Abel Prize Committee (2003–2005)

Publications

Books and monographs

1. Introduction to Linear Algebra, Sixth Edition, Wellesley-Cambridge Press (2023), Introduction to Linear Algebra^[15]
2. Linear Algebra for Everyone (2020)^[16][17]
3. Linear Algebra and Learning from Data (2019)^[18][19]
4. Calculus (2017) Textbook | Calculus Online Textbook | Supplemental Resources
5. Introduction to Linear Algebra, Fifth Edition (2016)^[20][21]
6. Differential Equations and Linear Algebra (2014) Differential Equations and Linear Algebra - New Book Website
7. Essays in Linear Algebra (2012)
8. Algorithms for Global Positioning, with Kai Borre (2012)
9. An Analysis of the Finite Element Method, with George Fix (2008)
10. Computational Science and Engineering (2007)
11. Linear Algebra and Its Applications, Fourth Edition (2005)^[22]
12. Linear Algebra, Geodesy, and GPS, with Kai Borre (1997)
13. Wavelets and Filter Banks, with Truong Nguyen (1996)
14. Strang, Gilbert (1986). Introduction to Applied Mathematics. Wellesley, MA: Wellesley-Cambridge Press. pp. xii+758. MR 870634.

See also

• The Joint spectral radius, introduced by Strang and Rota in the early 60s.
• Strang splitting

References

1. ^ Roselle, D. P. (1977). "Award of the 1977 Chauvenet Prize to Professor Gilbert Strang". The American Mathematical Monthly. 84 (6): 417. CiteSeerX 10.1.1.119.4043. doi:10.1080/00029890.1977.11994378. JSTOR 2321898
2. ^ "MIT announces Professor Gilbert Strang as the first MathWorks Professor of Mathematics". Cambridge, MA: MIT News. September 26, 2011.
3. ^ Lu, Jun (2021). "Revisit the Fundamental Theorem of Linear Algebra". arXiv:2108.04432
4. ^ "Fundamental Theorem of Linear Algebra". Wolfram MathWorld. Wolfram Research, Inc. May 29, 2014.
5. ^ "Profile". math.mit.edu. Retrieved 2026-02-20.
6. ^ Strang, William Gilbert (1959). Difference Methods for Mixed Boundary Value Problems (PhD). University of California, Los Angeles
7. ^ "Gil Strang's Final Linear Algebra Lecture", May 15, 2023
8. ^ "Gilbert Strang"
9. ^ List of Fellows of the American Mathematical Society
10. ^ Strang, Gilbert (1973-11-01). "Piecewise polynomials and the finite element method". Bulletin of the American Mathematical Society. 79 (6): 1128–1138. doi:10.1090/s0002-9904-1973-13351-8. ISSN 0002-9904
11. ^ Edelman, Alan & Strang, Gilbert (2004). "Pascal matrices". Amer. Math. Monthly. 111 (3): 189–197. doi:10.2307/4145127. JSTOR 4145127. Archived from the original on June 4, 2017. Retrieved January 29, 2015.
12. ^ "Recipients of the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of Mathematics; Mathematical Association of America". www.maa.org. Archived June 8, 2024 at the Wayback Machine.
13. ^ Irwin Sizer Award, retrieved 2020-05-25.
14. ^ "Leadership | SIAM". www.siam.org. Retrieved 2019-09-11.
15. ^ Stenger, Allen (April 16, 2023). "review of Introduction to Linear Algebra, 6th edition by Gilbert Strang". MAA Reviews, Mathematical Association of America
16. ^ "Linear Algebra for Everyone". math.mit.edu. Retrieved 2021-01-11.
17. ^ Stenger, Allen (May 10, 2022). "review of Linear Algebra for Everyone by Gilbert Strang". MAA Reviews, Mathematical Association of America
18. ^ "Linear Algebra and Learning from Data". math.mit.edu. Retrieved 2019-09-11.
19. ^ Borchers, Brian (May 28, 2019). "review of "Linear Algebra and Learning from Data" by Gilbert Strang". MAA Reviews, Mathematical Association of America
20. ^ Stenger, Allen (September 28, 2016). "review of Introduction to Linear Algebra, 5th edition by Gilbert Strang". MAA Reviews, Mathematical Association of America (MAA)
21. ^ Stenger, Allen (January 18, 2011). "review of Introduction to Linear Algebra, 4th edition, by Gilbert Strang". MAA Reviews, Mathematical Association of American
22. ^ Stenger, Allen (December 28, 2021). "review of Linear Algebra and Its Applications, 4th edition by Gilbert Strang". MAA Reviews, Mathematical Association of America

External links

• Official website
• Wellesley Cambridge Press (USA) www.wellesleycambridge.com/
• Wellesley Publishers (India) www.wellesleypublishers.com/