Book on Infinitesimal Calculus: Deriving DEs for EE Students

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Discussion Overview

The discussion revolves around finding a suitable book on infinitesimal calculus, specifically focusing on the derivation of differential equations relevant to electrical engineering students. Participants express interest in understanding the concepts behind differential equations through infinitesimal changes.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant requests recommendations for a book that covers infinitesimal calculus and the derivation of differential equations, citing examples like the Black-Scholes PDE and Euler-Bernoulli DE.
  • Another participant asks for clarification on the subject name, indicating difficulty in finding resources under "infinitesimal calculus."
  • A third participant suggests a specific book, "Differential Equations with applications and historical notes" by George F Simmons, noting its comprehensive coverage from traditional to modern topics in an accessible manner.
  • A later reply acknowledges the book suggestion and expresses intent to check it out.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on a single resource, as the initial request for a book is met with a suggestion rather than a definitive answer. The discussion remains open-ended regarding the best resources for the topic.

Contextual Notes

Participants have varying levels of familiarity with the subject, and there is an indication that the search for appropriate resources may depend on specific definitions of infinitesimal calculus.

Who May Find This Useful

Electrical engineering students or individuals interested in the derivation of differential equations and infinitesimal calculus.

foges
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Hey guys, can anyone recommend me a book on infinitesimal calculus. What i mean by infinitesimal calculus is the derivation of differential equations by looking at infinitesimal changes ([tex]dx\,dt[/tex], etc...).

Examples of this would be the Black-Scholes PDE, Euler-Bernoulli DE, etc..

I'm an EE student and have a solid background in Math (Calculus I,II & III, etc..), but when my Prof. derived the black-scholes PDE in two slides I couldn't quite follow

Thanks
 
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Or can someone just give me the name of the subject? because i can't seem to find anything under infinitesimal calculus..
 


I doubt that one book contains all you require but try

Differential Equations with applications and historical notes

by

George F Simmons

In a compact book the author manages a sweep through most areas from traditional right through to modern chaos theory in a very accessible manner.
 


thanks, will check it out :)
 

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