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Cramer  Gabriel Cramer (17041752)  Best known for his work on determinants, made contributions to the study of algebraic curves.
Dedekind, Richard (18311916)  study of CONTINUITY and definition of the real numbers in terms of Dedekind "cuts", the nature of number and mathematical induction, definition of finite and infinite sets; algebraic number fields, concept of RINGS.
Galois, Évariste (18111832)  Galois theory, a branch of mathematics dealing with the general solution of equations, group theory, method of determining when a general equation could be solved by radicals, solved many longstanding unanswered questions.
Niels Henrik Abel, Norwegian mathematician  Biography of the mathematician Niels Henrik Abel and a description of his work, such as with the quintic equation.
Pell, John (16111685)  Worked on algebra and number theory, gave a table of factors of all integers up to 100000 in 1668. Pell's equation is y^2 = ax^2 + 1, where a is a nonsquare integer.
Schmidt, Erhard (18761959)  Main research was functional analysis, doctorate was obtained under Hilbert's supervision, main interest was in integral equations and Hilbert space, best remembered for the GramSchmidt orthogonalisation process.
Zermelo  Ernst Friedrich Ferdinand Zermelo (18711953)  Zermelo in 1908 was the first to attempt an axiomatisation of set theory
alKhwarizmi  Abu Ja'far alKhwarizmi (780850)  Arab mathematician, lived when spread of ideas was very slow, wrote Hisab aljabr walmuqabala, concepts of the Middle East. The "aljabr" gave us the word algebra." introduced the decimal system, rules for solving linear and quadratic equations, the word "algorithm" comes from his name.
