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Topic: A new poin-of-view in learning math!
Replies: 0

 h3now Posts: 1 Registered: 6/25/11
A new poin-of-view in learning math!
Posted: Jun 25, 2011 12:03 PM

I'm looking for a math book that REALLY explains the math that I'm having at my engineering classes. I always opted for the history-based or logic-driven explanations that start from some already known rules and facts, and logically builds up the theory you're learning (when I say logically, I mean the type of reasoning a normal person would have. As in contrast with things like... "now to solve this differential equation assume that k.e^(wtf) is an answer...").

Almost all the math books I've encountered through my student life just throw the formulas at you. They normally start by stating the definition of the topic (normally in a rabbit-out-of-the-hat fashion) and then show you how to use it, in sort of a "algorithmized" way. What about those big questions that come to the non-zombie students? (those that are interested in getting some insight on how the world really works, and know that all those god-like formulas came from HUMANS. Very bright humans, but humans nevertheless). Questions like: how in the world did anyone thought of a thing like the laplace transform, or the fourier series, or the gamma function! (the list goes on...)

I was always fascinated by this kind of learning, and in some topics I did found such a point of view in some books. But now I'm seeing some new things and I just can't find any book that cover them this way.

If anyone understands what I'm looking for and knows any books related please let me know. I'm on a hunt for those...

Some topics are:
Laplace transform
Fourier Series
Fourier Transform
Gamma Function
Calculus of variations
...