The Norton History of the Mathematical Sciences: The Rainbow of MathematicsW. W. Norton & Company, 1998 - 817 Seiten Beginning with the Babylonian and Egyptian mathematicians of antiquity, Ivor Grattan-Guinness charts the growth of mathematics through its refinement by ancient Greeks and then medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. The book describes the evolution of arithmetic and geometry, trigonometry and algebra, the interplay between mathematics, physics, and mathematical astronomy, and "new" branches such as probability and statistics, "succeeding masterfully in viewing the history of mathematics from a new perspective". |
Inhalt
Previewing the rainbow | 1 |
Invisible origins and ancient traditions | 18 |
from the early Middle | 104 |
The calculus and its consequences | 257 |
Analysis and mechanics at centre stage | 303 |
Institutions and the profession after | 347 |
Mathematical analysis | 364 |
The expanding world of algebras | 413 |
Mechanics and mathematical physics | 439 |
International mathematics but the rise | 479 |
The new century to the Great | 654 |
Reviewing the rainbow | 719 |
Andere Ausgaben - Alle anzeigen
The Rainbow of Mathematics: A History of the Mathematical Sciences Ivor Grattan-Guinness,I. Grattan-Guinness Eingeschränkte Leseprobe - 2000 |
Häufige Begriffe und Wortgruppen
aether algebra angles applied Arabic Archimedes arithmetic astronomy axioms became Bernoulli calculus Cantor's Cauchy Cauchy's century Chap circle coefficients complex concern continued Crelle's journal curves defined Descartes developed differential equations differential geometry early edition especially Euclid Euclid's Elements Euclidean geometry Euler example expressed figures finite followed formula Fourier Fourier series French functions Gauss geometry German given Grattan-Guinness Greek important innovation integers integral Kepler Klein known Lagrange Lagrange's Laplace Laplace's later Leibniz linear logic major mathe mathematical analysis mathematicians matics mechanics methods motion Newton non-Euclidean geometry notation number theory optics orbits paper Pappos physics plane Poincaré polynomial potential theory principle probability theory problem proof properties published ratios result Riemann roots rotation set theory solutions square surface theorem tion topology translation triangle trigonometry values variables various velocity Weierstrass