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Elementary Mathematics from a Higher Standpoint
ISBN-13:
9783662494424
Veröffentl:
2016
Seiten:
312
Autor:
Felix Klein
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
These three volumes constitute the first complete English translation of Felix Klein's seminal series "Elementarmathematik vom höheren Standpunkte aus". "Complete" has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English.
First Part: Arithmetic. I. Calculating with Natural Numbers.- II. The First Extensions of the Notion of a Number.- III. Concerning Special Properties of Integers.- IV. Complex Numbers.- V. Concerning the Modern Development and the General Structure of Mathematics.- Second Part: Algebra. I. Real Equations with Real Unknowns.- II. Equations in the Field of Complex Quantities.- Third Part: I. Logarithmis and Exponential Functions.- The Goniometric Functions.- III. Concerning Infitesimal Calculus Proper.- Supplement: I. Transcendence of the Numbers e and pi.- II. Set Theory.- Appendix.- Index of Names.- Index of Contents.
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