The Development of Mathematics
Courier Corporation, 11 Σεπ 2012 - 656 σελίδες
"This important book … presents a broad account of the part played by mathematics in the evolution of civilization, describing clearly the main principles, methods, and theories of mathematics that have survived from about 4000 B.C. to 1940." — Booklist.
In this time-honored study, one of the twentieth century's foremost scholars and interpreters of the history and meaning of mathematics masterfully outlines the development of leading ideas and clearly explains the mathematics involved in each.
Author E. T. Bell first examines the evolution of mathematical ideas in the ancient civilizations of Egypt and Babylonia; later developments in India, Arabia, and Spain; and other achievements worldwide through the sixteenth century. He then traces the beginnings of modern mathematics in the seventeenth century and the emergence of the importance of extensions of number, mathematical structure, the generalization of arithmetic, and structural analysis. Compelling accounts of major breakthroughs in the 19th and 20th centuries follow, emphasizing rational arithmetic after Fermat, contributions from geometry, and topics as diverse as generalized variables, abstractions, differential equations, invariance, uncertainties, and probabilities.
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Extensions of Number
Toward Mathematical Structure
Emergence of Structural Analysis
Cardinal and Ordinal to 1902
Certain Major Theories of Functions
Uncertainties and Probabilities
Άλλες εκδόσεις - Προβολή όλων
Abel abstract abstract algebra algebraic equations algebraic integers algebraic numbers algebraists analysis analytic appear applications Archimedes arithmetic Babylonians calculus calculus of variations Cauchy century B.C. classical coefficients complex numbers concept congruence continued fractions continuous coordinates corresponding curve Dedekind defined definition Descartes differential equations differential geometry Diophantus elementary elliptic functions equivalent Euclid Euler example Fermat finite number French Galois Galois theory Gauss German given Greek Greek mathematics groups Hilbert infinite infinity integral interest intuition invariants invented Kronecker Lagrange Leibniz linear mathe mathematical logic mathematical physics mathematicians matics mechanics method modern mathematics Moslems natural numbers Newton nineteenth century non-Euclidean geometry noted number system original period plane postulates problem projective geometry proof proved Pythagorean quadratic quaternions real numbers reasoning Riemann scientific seems significance solution solved space suggested surface symbolism theorem theory of algebraic theory of functions theory of numbers tion topology transformation twentieth century Weierstrass