Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.
Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.
Howard Eves has enjoyed a long, distinguished career as a teacher, geometer, writer, editor and historian of mathematics. A renowned teacher and scholar, Eves spent most of his career at the University of Maine at Orono, and more recently at Central Florida University. For twenty-five years he edited the Elementary Problems Section of the American Mathematical Monthly. Long known as a mathematical storyteller, Howard Eves here writes his personal reminiscencesmostly mathematical, some not. The cast of characters includes Albert Einstein, Norbert Wiener, Julian Lowell Coolidge, Maurice Frchet, Nathan Altschiller-Court, G. H. Hardy, and many other interesting figures whom he encountered in a long and active life in mathematics. In Mathematical Reminiscences we read of Eves' famous mathematical museum, with its lock of Einstein's hair, Hardy's scarf, Veblen's bright yellow lead pencil, Wiener's hat, and much, much more.
Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.