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Foundations of Differential Calculus by Euler (English) Paperback Book
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Item specifics
- Condition
- ISBN-13
- 9781475774269
- Book Title
- Foundations of Differential Calculus
- ISBN
- 9781475774269
- Publication Year
- 2013
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Foundations of Differential Calculus
- Item Height
- 0.2in
- Item Length
- 9.3in
- Publisher
- Springer New York
- Item Width
- 6.1in
- Item Weight
- 11.9 Oz
- Number of Pages
- Xvi, 194 Pages
About this product
Product Information
What differential calculus, and, in general, analysis ofthe infinite, might be can hardly be explainedto those innocent ofany knowledge ofit. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the courseofthe development ofthe differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the .stages of increasing and decreasing. We note this distinc tion and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus.
Product Identifiers
Publisher
Springer New York
ISBN-10
1475774265
ISBN-13
9781475774269
eBay Product ID (ePID)
175920387
Product Key Features
Publication Name
Foundations of Differential Calculus
Format
Trade Paperback
Language
English
Publication Year
2013
Type
Textbook
Number of Pages
Xvi, 194 Pages
Dimensions
Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
11.9 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa331.5
Reviews
"This instalment ... will be welcomed not only by historians but also by teachers anxious to change from the highfalutin talk of Cauchy-style limits all the time when explaining the calculus." (I.Grattan-Guinness, zbMATH 0949.01030, 2021)
Table of Content
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.
Copyright Date
2000
Topic
Calculus, Mathematical Analysis
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics
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