Calculus and Analytic Geometry by Thomas and Finney 9th edition
George Briton Thomas Jr. (January 11, 1914 – October 31, 2006) was a professor of mathematics at MIT. He is best known for being the author of a widely used calculus textbook.Born in Boise, Idaho, Thomas' early years were difficult. His father, George Brinton Thomas Sr., was a bank employee, and his mother, Georgia Fay Thomas (née Goin), died in the 1919 Influenza Epidemic, just eight days before his fifth birthday. His father remarried shortly thereafter, to Lena Steward. They lived in a tent with a wooden floor and a coal stove.
After his stepmother Lena died from complications due to childbirth, the father and son moved to the Spokane Valley in Washington State, where they both attended Spokane University. George Thomas Sr. married again, to Gertrude Alice Johnson. Thomas began attending Washington State College (now Washington State University), after Spokane University went bankrupt. There, he earned a B.A. in 1934 and an M.A. in 1936, both in mathematics and mathematics education.
On August 15, 1936, Thomas married Jane Heath at her family's home in South Bend, Washington. The couple lived in Pullman, Washington for a year; Thomas worked at a local shoe store to save money for further graduate education.
In 1937, Thomas was accepted into the graduate mathematics program at Cornell University. At Cornell, Thomas worked as an instructor while pursuing his research in number theory.
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus) is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
It has two major branches, differential calculus (concerning instantaneous rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves). These two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.
Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Today, calculus has widespread uses in science, engineering, and economics.
Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The term calculus (plural calculi) is also used for naming specific methods of calculation or notation as well as some theories, such as propositional calculus, Ricci calculus, calculus of variations, lambda calculus, and process calculus.
0 comments: