Vollständige Anleitung zur niedern und höhern Algebra

著者

• Euler, Leonhard
• Grüson, Johann Philipp

書誌事項

Vollständige Anleitung zur niedern und höhern Algebra

Leonhard Euler ; edited by Johann Philipp Grüson

（Cambridge library collection, . Mathematical sciences）

Cambridge University Press, 2009

• Vol. 1
• Vol. 2
• Vol. 3

注記

Reprint. Originally published: Berlin : G.C. Nauk , 1796-1797

内容説明・目次

巻冊次

Vol. 1 ISBN 9781108001939

内容説明

In 1770, one of the founders of pure mathematics, Leonard Euler (1707-1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of the English edition of 1822 (which also appears in this series), and of this 1790s German edition by Johann Philipp Gruson, Professor of Mathematics to the royal cadets. Volume 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (addition, subtraction, division, multiplication), and progresses to compound calculations (fractions), ratios and proportions. This landmark book showed students the beauty of mathematics, and more significantly, how to do it. It provides tangible evidence of the lively and international mathematical community that flourished despite the political uncertainties of the late eighteenth century.

目次

• Vorbericht
• Erster Abschnitt: Von den verschiedenen Rechnungsarten mit einfachen Groessen
• Zweyter Abschnitt: Von den verschiedenen Rechnungsarten mit zusammengesetzten Groessen
• Dritter Abschnitt: Von den Verhaltnissen und Proportionen.

巻冊次

Vol. 2 ISBN 9781108001946

内容説明

In 1770, one of the founders of pure mathematics, Leonard Euler (1707-1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of the English edition of 1822 (which also appears in this series), and of this 1790s German edition by Johann Philipp Gruson, Professor of Mathematics to the royal cadets. Volume 2 consists of two parts: 16 chapters on algebraic equations, followed by 15 chapters on analyses of indeterminate quantities. Here, Euler shows the reader several ways to solve polynomial equations up to the fourth degree. This landmark book showed students the beauty of mathematics, and more significantly, how to do it. It provides tangible evidence of the lively international mathematical community that flourished despite the political uncertainties of the late eighteenth century.

目次

• Vorbericht
• Erster Abschnitt: Von den algebraischen Gleichungen und deren Aufloesung
• Zweyter Abschnitt: Von der unbestimmten Analytik.

巻冊次

Vol. 3 ISBN 9781108002110

内容説明

In 1770, one of the founders of pure mathematics, the Swiss-born mathematician Leonard Euler (1707-1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of this three-volume 1790s German edition. Volume 3 consists of the German translation of Lagrange's additional material, which the German publisher printed in a separate volume to enable those who already owned Euler's Algebra to obtain the supplementary material 'without incurring unnecessary expenditure'. The translator (the tutor to the sons of the Duke of Wurttemberg) added notes and further appendices of his own. This book provides tangible evidence of the lively international mathematical community that flourished despite the political uncertainties of the late eighteenth century.

目次

• Vorrede
• Vorrede zur Ubersetzung
• Zusatze
• Anhang.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB00966951
• ISBN:
  • 9781108001939
  • 9781108001946
  • 9781108002110
• 出版国コード: uk
• タイトル言語コード: ger
• 本文言語コード: ger
• 出版地: Cambridge
• ページ数/冊数: 3 v.
• 親書誌ID:
  • BB00083053