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Special pages :
Mathematical Manuscripts (1881)
First published: in Russian translation, in Pod znamenem marksizma, 1933
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Table of Contents[edit source]
The Manuscripts[edit source]
Two Manuscripts on Differential Calculus[edit source]
âOn the Concept of the Derived Functionâ
On the Differential
On the history of Differential Calculus[edit source]
On the history of Differential Calculus[1][edit source]
Third Draft
Some Supplements
First Drafts
Continuation of Extracts
Taylor's Theorem, MacLaurin's Theorem and Lagrange's Theory of Derived Functions[edit source]
1. From the Manuscript âTaylor's Theorem, MacLaurin's Theorem, and Lagrange's Theory of Derived Functionsâ
2. From the Unfinished Manuscript âTaylor's Theoremâ
Appendices to the Manuscript âOn the History of the Differential Calculusâ and Analysis of DâAlembert's Method[edit source]
On the Ambiguity of the Terms âLimitâ and âLimit Valueâ
Comparison of DâAlembert's Method to the Algebraic Method
Analysis of DâAlembert's Method by Means of Yet Another Example
Hegel on Calculus[edit source]
The Differential
Calculus Deduced from its Application
Infinitesimal Magnitudes
Hegel & Mathematics, Ernst Kolman & Sonya Yanovskaya
Letters of Marx and Engels on Science and Mathematics.
PDF version of the entire New Park Publications book[edit source]
This file has been copied from The Maoist Internationalist Movment website. It is a photocopy of the same New Park book used for the above texts, but includes the full text, including indexes, preface, etc., in a single, large file.
Hegel, Marx and the Calculus, Cyril Smith | Review of the New Park Publications Edition, Andy Blunden, June 1983.
- â With his manuscript âOn the Differentialâ, Marx fulfilled a promise to write a specialized piece shedding light on the historical path of the development of differential calculus. In sketches preceding this letter [âOn the Differentialâ was a letter to Engels - Trans], he expressed an intention to illustrate the history of differential calculus by means of the history of the theorem on the differential of a product. Obviously Marx succeed in carrying out neither of these intentions completely. Only the tentative drafts contained in the notebook âB (continuation of A)â, where they alternate with Marxâs computations for his work on the differential, have survived. These drafts begin, appropriately for Marxâs primary purpose, with an explanation of the methods of Newton and Leibnitz in the example of the theorem on the differential of a product. For the same reason, only the beginning goes like this and not the concluding section explication the method of dâAlembert. Later Marx passes to a more detailed discussion and critique of the methods of Newton and Leibnitz in general. This brings him to the general periodisation of the history of differential calculus, in which three periods are distinguished: 1) the mystical differential calculus of Newton and Leibnitz, 2) the rational differential calculus of dâAlembert, and 3) the purely algebraic differential calculus of Lagrange, the characterisation of which comprises the second part of the extant drafts of the history of differential calculus. It was this part which Marx apparently decided to develop into a third letter to Engels. The concluding part of the historical drafts presents a more detailed exposition of the general ideas contained in the first part. The drafts are published in full with the exception of notes whose content refers to the work âOn the Differentialâ, which are omitted.