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

In summary, the conversation discusses the need for sources to become proficient in engineering mathematics and partial differential equations in a short amount of time. Various books and online resources are suggested, with specific recommendations being Nearing's book and Farlow's book. A helpful resource, Lamar, is also mentioned.
  • #1
Sirsh
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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.
 
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  • #2
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
 
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Likes Sirsh
  • #4
Thanks guys, appreciate it.

That Lamar resource is very nice.
 

1. What are Fourier and Laplace transforms/series?

Fourier and Laplace transforms/series are mathematical tools used to analyze and represent functions in terms of frequency or complex exponentials. They are commonly used in fields such as signal processing, engineering, and physics.

2. Why should I learn these concepts in just two weeks?

While two weeks may not be enough time to fully master these topics, it is possible to gain a basic understanding and proficiency in using Fourier and Laplace transforms/series. This can be helpful for those who need to quickly apply these concepts in their work or studies.

3. Where can I find resources for learning Fourier and Laplace transforms/series?

There are many online resources available for learning Fourier and Laplace transforms/series, such as video tutorials, textbooks, and practice problems. You can also consult with a mentor or attend a workshop or class on these topics.

4. What are some tips for learning Fourier and Laplace transforms/series efficiently?

Some tips for learning these concepts efficiently include breaking down the material into smaller chunks, practicing with diverse examples, and seeking help from others when needed. It can also be helpful to understand the applications of these concepts in real-world problems.

5. Are Fourier and Laplace transforms/series difficult to learn?

Like any mathematical topic, the difficulty of learning Fourier and Laplace transforms/series may vary for each individual. However, with dedication and sufficient practice, it is possible to understand and apply these concepts effectively within a short period of time.

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