Mathematical Thought From Ancient to Modern Times, Volume 1, Volum 1This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study. |
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Innhold
| 4-2 | |
The FunctionConcept 17 The Creation ofthe Calculus 1 The Motivation forthe Calculus | 4-4 |
Babylonia | 4-6 |
Merits and Defectsof theElements | 4-10 |
Founding | 4-35 |
The Beginnings of Projective Geometry | 5-1 |
Egyptian Mathematics 1 Background | 5-2 |
The Reemergence of Arithmetic | 5-27 |
7 | 5-50 |
Egyptian | 5-74 |
The Demise oftheGreek | 5-93 |
3 | 5-165 |
Mathematical Contributions in the Renaissance | 5-192 |
The Mathematics of the Hindus and Arabs | 5-200 |
Geometry | 5-359 |
The Renaissance 1 Revolutionary InfluencesinEurope | 5-11 |
The Mathematization of Science | 5-16 |
List of Abbreviations | 117 |
Andre utgaver - Vis alle
Mathematical Thought From Ancient to Modern Times, Volum 1 Morris Kline Ingen forhåndsvisning tilgjengelig - 1990 |
Vanlige uttrykk og setninger
Alexandrian algebra angle Apollonius applied Arabs Archimedes Aristotle arithmetic astronomy Babylonians base became bodies Book calculation called century Chap chord circle civilization classical concerned conic consider construction contains continued course curves definitions Desargues Descartes determined diameter Diophantus earth Egyptian Elements equal equation Euclid Europe example expressed fact Figure four fractions geometry given gives greater Greek Hence Hindus History ideas important inthe introduced irrational Italy knowledge known later learned length magnitudes mathematicians mathematics means measure mechanics method motion moving nature numbers objects observations obtained ofthe original parallel period physical plane positive practical problems produced proof properties proportion Proposition prove Ptolemy Pythagoreans ratio reason rectangle Roman roots says segment shows sides solved sphere square straight line symbols theorems theory tothe treats triangle trigonometry University whole writings
Bibliografisk informasjon
| Tittel | Mathematical Thought From Ancient to Modern Times, Volume 1, Volum 1 |
| Forfatter | Morris Kline |
| Utgiver | Oxford University Press, 1990 |
| ISBN | 0199840415, 9780199840410 |
| Lengde | 432 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |