Development of Mathematics (eBook)

E. T. Bell (Autor)

eBook Download: EPUB

2012
656 Seiten
Dover Publications (Verlag)
978-0-486-15228-8 (ISBN)

Infos

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

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"e;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."e; — 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.

Autor

Eric Temple Bell (1883–1960) was born in Scotland, studied mathematics at universities in the United States, and taught at the University of Washington and the California Institute of Technology. He wrote several books on the history of mathematics, including another Dover title, The Magic of Numbers. He also wrote many science-fiction novels under the pseudonym John Taine.

Inhalt

TO ANY PROSPECTIVE READER1. General Prospectus2. The Age of Empiricism3. Firmly Established4. The European Depression5. Detour through India, Arabia, and Spain6. Four Centuries of Transition, 1202-16037. The Beginning of Modern Mathematics, 1637-16878. Extensions of Number9. Toward Mathematical Structure10. Arithmetic Generalized11. Emergence of Structural Analysis12. Cardinal and Ordinal to 190213. From Intuition to Absolute Rigor, 1700-190014. Rational Arithmetic after Fermat15. Contributions from Geometry16. The Impulse from Science17. From Mechanics to Generalized Variables18. From Applications to Abstractions19. Differential and Difference Equations20. Invariance21. Certain Major Theories of Functions22. Through Physics to General Analysis and Abstractness23. Uncertainties and ProbabilitiesNOTESINDEX

Produkt-Details

• Erscheint lt. Verlag: 11.9.2012
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Algebra • Archimedes • Cauchy • Dedekind • Descartes • Euler • Fermat • GAUSS • Geometry • Hilbert • History of Mathematics • Invariance • Lagrange • leibniz • Mathematical Logic • Mathematics • Modern Mathematics • Newton • Numbers • Number Theory • Poincare • Probabilities • Riemann. • Theories of Functions
• ISBN-10: 0-486-15228-6 / 0486152286
• ISBN-13: 978-0-486-15228-8 / 9780486152288