Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe
Macmillan, 15/12/1996 - 224 من الصفحات
To most people, mathematics means working with numbers. But as Keith Devlin shows in Mathematics: The Science of Patterns, this definition has been out of date for nearly 2,500 years. Mathematicians now see their work as the study of patterns—real or imagined, visual or mental, arising from the natural world or from within the human mind.
Using this basic definition as his central theme, Devlin explores the patterns of counting, measuring, reasoning, motion, shape, position, and prediction, revealing the powerful influence mathematics has over our perception of reality. Interweaving historical highlights and current developments, and using a minimum of formulas, Devlin celebrates the precision, purity, and elegance of mathematics.
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Reasoning and Communicating
Motion and Change
Symmetry and Regularity
abstract addition algebraic angle sum arithmetic axioms Boole's calculus capture century circle complex numbers conjecture cube curve denote describe differential dimensions edges ematics equation Euclid's Euclidean geometry Euler Euler characteristic example faces fact Fermat's last theorem Fermat's little theorem figure finite formula function Gauss given gradient Greek hexagonal hypersphere illustrated infinite series integers knot known lattice Leibniz logic loop M. C. Escher mathe mathematicians mathematics maticians matics means method Möbius band natural numbers notion number theory º º objects packing particular patterns plane Poincaré conjecture polynomial possible postulate predicate predicate logic prime number problem projective geometry proof properties proposition propositional logic proved Pythagorean real numbers regular solids result solution solve space sphere sphere packing square straight line structure surface syllogism symmetry group three-dimensional tiling tion topological transformations triangle true vector