Textbook on Calculus and Fourier Series

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SUMMARY

The discussion focuses on recommendations for textbooks that enhance understanding of Calculus and Fourier Series, particularly for individuals with an engineering background. Key suggestions include "Introductory Real Analysis" by Kolmogorov and Fomin, noted for its affordability and readability, and "Principles of Mathematical Analysis" by Walter Rudin, which is recognized for its depth but may be challenging for beginners. The user expresses a need for accessible resources to bridge foundational knowledge to intermediate levels in mathematics.

PREREQUISITES
  • Basic understanding of Calculus concepts
  • Familiarity with Fourier Series applications
  • Experience with mathematical analysis
  • Ability to read and comprehend mathematical texts
NEXT STEPS
  • Research "Introductory Real Analysis" by Kolmogorov and Fomin
  • Explore "Principles of Mathematical Analysis" by Walter Rudin
  • Study applications of Fourier Series in engineering contexts
  • Investigate additional resources for foundational mathematics
USEFUL FOR

This discussion is beneficial for engineering students, mathematics enthusiasts, and anyone seeking to strengthen their understanding of Calculus and Fourier Series for practical applications in fields such as music and engineering.

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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