Synopses & Reviews
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.
Table of Contents
Preface.- Translator's Introduction.- On Finite Differences.- On the Use of Differences in the Theory of Series.- On the Infinite and the Infinitely Small.- On the Nature of Differential 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 Functions of Differential Formulas.- On Differential Equations.