Don't understand the taylor expansion?

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Discussion Overview

The discussion revolves around the Taylor expansion, specifically seeking a clear and simple explanation of the concept. Participants express varying levels of understanding and attempt to clarify the topic, which is rooted in calculus and mathematical approximation.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses confusion about the Taylor expansion, indicating a lack of understanding and seeking a simplified explanation.
  • Another participant provides links to external resources, suggesting that further reading may help clarify the concept.
  • A third participant suggests that the topic belongs in general math or calculus, noting that an elementary understanding of calculus is necessary to grasp the Taylor series.
  • A later reply describes the Taylor series as a method for calculating derivatives at a specific point and using those derivatives to predict function values nearby, emphasizing the role of derivatives in improving predictions.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a simplified explanation of the Taylor expansion, and there are multiple viewpoints regarding the necessary background knowledge for understanding the concept.

Contextual Notes

Some participants highlight the complexity of the topic and the need for a foundational understanding of calculus, which may limit the accessibility of the discussion for those unfamiliar with the subject.

Lengalicious
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Not sure under which forum this should have gone under, anyway can someone who really understands it explain it to me in as simple terms as they can, from what I'm getting its approximates something for a function or something? No idea.
 
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Lengalicious said:
Not sure under which forum this should have gone under, anyway can someone who really understands it explain it to me in as simple terms as they can, from what I'm getting its approximates something for a function or something? No idea.
It belongs in either general math or calculus. To understand Taylor series you need to understand calculus at least on an elementary level. It is very hard to explain otherwise.
 
A Taylor series basically calculates a bunch of derivatives at some point in a parameter space and then extrapolates them to other points close to the initial point in the space.

The more derivatives you figure out the better you can predict what some function (of which said derivatives are taken) will be at some distance from the initial point.

Claude.
 

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