Textbook on Calculus and Fourier Series

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Discussion Overview

The discussion revolves around recommendations for textbooks on calculus and Fourier series, particularly aimed at someone with an engineering background seeking to improve their understanding of intermediate to advanced mathematics. The focus includes both foundational concepts and specific applications, such as Fourier series in music.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses a need for a readable textbook to bridge their understanding from foundational to intermediate mathematics, specifically mentioning struggles with Fourier series.
  • Another participant suggests Kolmogorov and Fomin's "Introductory Real Analysis" as a good resource, noting its affordability and accessibility.
  • A different participant recommends Walter Rudin's "Principles of Mathematical Analysis," highlighting its density, which may be a consideration for the original poster.
  • One participant offers to share multiple textbooks related to Fourier series, requesting the original poster's email for further communication.

Areas of Agreement / Disagreement

Participants provide various textbook recommendations, but there is no consensus on a single best option. The discussion reflects differing opinions on the suitability of the suggested texts based on the original poster's needs.

Contextual Notes

Some recommendations may depend on the reader's prior knowledge and comfort with mathematical rigor, which has not been fully explored in the discussion.

Adder_Noir
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Hi,

I'm looking for a recommendation for a good textbook which will deepen my understanding of intermediate/advanced mathematics to help me understand the above two (well I know one is subsection of the other) subjects. I would like to learn Fourier series for use with musical exploits.

I have an engineering degree but I've always struggled with the maths and with that needed to understand Fourier series I'm really, really struggling.

So I could do with a sensible recommendation of a readable (not an expert) textbook which will boost my maths from foundation to intermediate level ideally.

Problem is I don't know where to look can anyone help me with a good recommendation?

I'd be most in your debt. Thanks :wink:
 
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Calculus or analysis?

I'm working thorugh Kolmogorov and Fomin's Introductory Real Analysis, and it's really nice. It's a Dover book, so it's pretty cheap as well.
 
For real analysis (which is probably what you want), a lot of people like Walter Rudin's Principles of Mathematical Analysis. It's very dense, though.
 
i have 3 or 4 textbooks that will help you - my engineer fellow - with Fourier . what is your email ?
 
bit188 said:
Calculus or analysis?

I'm working thorugh Kolmogorov and Fomin's Introductory Real Analysis, and it's really nice. It's a Dover book, so it's pretty cheap as well.

I've ordered a copy from Amazon I got it for about £7 all in postage too, thanks mate :wink:
 

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