Arthur Cayley introduced matrix multiplication and the inverse matrix in , making possible the general linear group. The mechanism of group representation became available for describing complex and hypercomplex numbers. Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object. He also realized the connection between matrices and determinants, and wrote "There would be many things to say about this theory of matrices which should, it seems to me, precede the theory of determinants".

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In he became a research professor of mathematics at Drexel University in Philadelphia, where he taught and did mathematical research for 15 years. In he left Drexel as a Professor Emeritus of Mathematics to become a full-time writer of mathematical textbooks. For relaxation, Dr. Anton enjoys traveling and photography. He was a faculty member of the Department of Mathematics at Drexel University for more than 30 years where, in addition to teaching, he did applied research in solar engineering, acoustic scattering, population dynamics, computer system reliability, geometry of archaeological sites, optimal animal harvesting policies, and decision theory.

He retired from Drexel in as a Professor Emeritus of Mathematics and is now a mathematical consultant. He also has a research position at the School of Veterinary Medicine at the University of Pennsylvania where he does mathematical modeling of animal epidemics. Rorres is a recognized expert on the life and work of Archimedes and has appeared in various television documentaries on that subject.

His highly acclaimed website on Archimedes is a virtual book that has become an important teaching tool in mathematical history for students around the world. Since , he has taught at Davidson College, where he currently holds the position of professor of mathematics. A typical academic year sees him teaching courses in calculus, topology, and geometry. Bivens also enjoys mathematical history, and his annual History of Mathematics seminar is a perennial favorite with Davidson mathematics majors.

He has published numerous articles on undergraduate mathematics, as well as research papers in his specialty, differential geometry. When he is not pursuing mathematics, Professor Bivens enjoys juggling, swimming, walking, and spending time with his son Robert. Davis received his B. Davis came to Davidson College in , where he is currently a professor of mathematics.

He regularly teaches calculus, linear algebra, abstract algebra, and computer science. A sabbatical in — took him to Swarthmore College as a visiting associate professor. Professor Davis has published numerous articles on calculus reform and testing, as well as research papers on finite group theory, his specialty. He is currently a faculty consultant for the Educational Testing Service for the grading of the Advanced Placement Calculus Exam, webmaster for the North Carolina Association of Advanced Placement Mathematics Teachers, and is actively involved in nurturing mathematically talented high school students through leadership in the Charlotte Mathematics Club.

For relaxation, he plays basketball, juggles, and travels. Professor Davis and his wife Elisabeth have three children, Laura, Anne, and James, all former calculus students. He taught at Oakland University in Michigan and was a member of the mathematics department at Drexel University from to He is the author of several textbooks and numerous research papers.

Since retiring from Drexel as Professor Emeritus of mathematics, he has pursued his interests in the development and computer implementation of mathematical models for financial analysis.

Busby enjoys music, reading, and spending time with children and grandchildren.


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