Concepts of Modern MathematicsIn this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math"--groups, sets, subsets, topology, Boolean algebra, and more. By the time readers finish this book, they shall have a much clearer grasp of how modern mathematicians look at figures, function, and formulas, leading them to a better comprehension of the nature of the mathematics itself. Copyright © Libri GmbH. All rights reserved. |
Contents
Mathematics in General | 1 |
Motion without Movement | 8 |
Short Cuts in the Higher Arithmetic | 27 |
Copyright | |
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3-dimensional 3-space A. A. Milne applications arithmetic axiomatic axiomatic set theory axioms bers bijection CALIFORNIA/SANTA CRUZ cardinal Chapter circle complex numbers concept congruent construct corresponding define definition dimensions disc domain edges elements equal equation equinumerous Euclid Euclidean Euclidean geometry Euler characteristic Euler's formula exactly example exist faces Figure finite formula function geometry given gives hole homotopy idea infinite integers intuition isomorphic Klein bottle laws linear linear transformations logical look loop mathematicians mathematics Möbius band Möbius strip modern mathematics modulus move notation objects pairs path plane polynomial position possible prime numbers probability problem proof prove rational numbers real numbers regular polytopes rigid motions rotation sequence set theory solution sphere square string subgroup subset surface symbols symmetry theorem topological spaces topologically equivalent torus transformation triangle true UNIVERSITY OF CALIFORNIA/SANTA vertices whole numbers