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As a mathematician Katz specializes in algebra, but he is mainly known for his work on the history of mathematics and its uses in teaching. He wrote a textbook History of Mathematics: An Introduction (1993), for which he won in 1995 the Watson Davis and Helen Miles Davis Prize. He organized workshops and congresses for the Mathematical ...
Burnside's lemma also known as the Cauchy–Frobenius lemma. Frattini's lemma (finite groups) Goursat's lemma. Mautner's lemma (representation theory) Ping-pong lemma (geometric group theory) Schreier's subgroup lemma. Schur's lemma (representation theory) Zassenhaus lemma.
MyMathLab is an online interactive and educational system designed by Pearson Education to accompany its published math textbooks. It covers courses from basic math through calculus and statistics, as well as math for business, engineering and future educators. Pearson designed MyMathLab to respond to the needs of instructors and students who ...
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within those systems.It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations such as addition and multiplication.
The rank of a system of equations (that is, the rank of the augmented matrix) can never be higher than [the number of variables] + 1, which means that a system with any number of equations can always be reduced to a system that has a number of independent equations that is at most equal to [the number of variables] + 1.
The cross-hatched plane is the linear span of u and v in both R 2 and R 3.. In mathematics, the linear span (also called the linear hull [1] or just span) of a set of elements of a vector space is the smallest linear subspace of that contains .