Resources for learning Fourier's and Laplace transforms/series in 2 weeks

  • Context: Calculus 
  • Thread starter Thread starter Sirsh
  • Start date Start date
  • Tags Tags
    Laplace Resources
Click For Summary

Discussion Overview

The discussion centers around finding effective resources for learning Fourier and Laplace transforms/series within a limited timeframe, particularly in the context of their application to heat transfer. Participants share various types of materials, including books and online resources, to aid in this learning process.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant seeks recommendations for resources to quickly become proficient in Fourier and Laplace transforms/series due to a mid-semester entry into their major.
  • Another participant suggests that books on "engineering mathematics," "math methods for physics," "partial differential equations," or "boundary value problems" will cover the necessary topics, recommending Nearing's book and Farlow's book as potential resources.
  • A third participant provides a link to a tutorial resource on differential equations that may also be helpful.
  • A later reply expresses appreciation for the suggested Lamar resource, indicating its usefulness.

Areas of Agreement / Disagreement

Participants generally agree on the types of resources that may be helpful, but there is no consensus on a single best resource, as multiple suggestions are provided.

Contextual Notes

Participants do not specify the depth of knowledge required or the specific aspects of Fourier and Laplace transforms/series that are most relevant to heat transfer, which may affect the suitability of the recommended resources.

Sirsh
Messages
262
Reaction score
10
Does anyone know of any good sources, websites, books etc. That would be best for trying to become proficient in these topics in as short of a time period possible?

I have a good grasp on calculus concepts as is, but I'm undertaking a unit that involves these concepts in the application to heat transfer, which I haven't learned as of yet due to being mid-semester entry in my major.

Any help or direction would be appreciated.
 
Physics news on Phys.org
Almost any book on "engineering mathematics" or "math methods for physics" or "partial differential equations" or "boundary value problems" will cover most of these topics. Check your library and you will likely find something that works for you. If you google you will also be able to find some lecture notes on these topics.
One example is Nearing's book, which has some of the material,
http://www.physics.miami.edu/~nearing/mathmethods/

A very straightforward book is Farlow,
https://www.amazon.com/dp/048667620X/?tag=pfamazon01-20
Your college library likely has this book in the library. If you have never seen the topics before, and simply want to learn enough to be able to solve the heat equation then this book may be what you are looking for.

jason
 
  • Like
Likes   Reactions: Sirsh
Thanks guys, appreciate it.

That Lamar resource is very nice.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
Replies
4
Views
4K
  • · Replies 38 ·
2
Replies
38
Views
12K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
8K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K