William Karush

{{Infobox scientist

| name = William Karush

| image = William-karush.jpg

| image_size =

| alt =

| caption = Karush wearing a Beyond War lapel pin.

| birth_date = {{Birth date|1917|03|01}}

| birth_place = Chicago, IL

| death_date = {{Death date and age|1997|02|22|1917|03|01}}

| death_place =

| nationality = American

| fields = Mathematics

| workplaces = California State University at Northridge

| alma_mater = University of Chicago

| doctoral_advisor = Magnus Hestenes

| doctoral_students =

| known_for = Contribution to Karush–Kuhn–Tucker conditions

| awards =

}}

William Karush (1 March 1917 – 22 February 1997) was an American professor of mathematics at California State University at Northridge and was a mathematician best known for his contribution to Karush–Kuhn–Tucker conditions. In his master's thesis he was the first to publish these necessary conditions for the inequality-constrained problem,{{cite thesis|author=W. Karush|title=Minima of Functions of Several Variables with Inequalities as Side Constraints|version=M.Sc. Dissertation|publisher=Dept. of Mathematics, Univ. of Chicago, Chicago, Illinois|year=1939}}. Available from http://wwwlib.umi.com/dxweb/details?doc_no=7371591 (for a fee) although he became renowned after a seminal conference paper by Harold W. Kuhn and Albert W. Tucker.{{cite conference

| first = H. W.

| last = Kuhn

| author2=Tucker, A. W.

| book-title = Proceedings of 2nd Berkeley Symposium

| pages = 481–492

| title=Nonlinear programming

| publisher = University of California Press

| year = 1951

| location = Berkeley

}} He also worked as a physicist for the Manhattan Project, although he signed the Szilárd petition and became a peace activist afterwards.{{Cite web|url=https://www.atomicheritage.org/profile/william-karush|title=William Karush|website=Atomic Heritage Foundation|language=en|access-date=2020-01-28}}

Early life

Sam and Tillie (formerly Shmuel and Tybel) Karush immigrated to the United States from Bialystok, then under Russian control, now Poland."William Karush and the KKT Theorem" by Richard W. Cottle. Documenta Mathematica, 2012 Karush was born in Chicago, Illinois on March 1, 1917. He graduated from Murray F. Tuley High School in 1934. He attended the Central YMCA College in Chicago for two years before transferring to University of Chicago, where he received a Bachelor of Science in 1938 and a Masters of Science in 1939. In 1942, he worked as a mathematician for the Carnegie Institution for Science in Washington, D.C. and from 1943-1956, he was employed by University of Chicago, while working on the Manhattan Project.

Selected works

Webster's New World Dictionary of Mathematics, MacMillan Reference Books, Revised edition (April 1989), {{ISBN|978-0-13-192667-7}}
On the Maximum Transform and Semigroups of Transformations (1962), Richard Bellman, William Karush,
The crescent dictionary of mathematics, general editor (1962) William Karush, Oscar Tarcov
Isoperimetric problems & index theorems. (1942), William Karush, Thesis (Ph.D.) University of Chicago, department of mathematics.
Minima of functions of several variables with inequalities as side conditions, William Karush. (1939), Thesis (M.S.) – University of Chicago, 1939.