Foundations of differential calculus
著者
書誌事項
Foundations of differential calculus
Springer, c2000
- タイトル別名
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Institutiones calculi differentialis
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注記
Includes index
"Translated from the Latin Institutiones Calculi Differentialis, Chapters 1 to 9, by Leonhard Euler, 1755" -- T.p. verso
内容説明・目次
内容説明
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
目次
On Finite Differences.- On the Use of Differences in the Theory of Series.- On the Infinite and the Infinitely Small.- On the Nature of Differentials of Each Order.- On the Differentiation of Algebraic Functions of One Variable.- On the Differentiation of Transcendental Functions.- On the Differentiation of Functions of Two or More Variables.- On the Higher Differentiation of Differential Formulas.- On Differential Equations.
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