Boolean Algebra: Harder Than Calculus/ODEs? Book Recs

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Discussion Overview

The discussion revolves around the perceived difficulty of boolean algebra in comparison to calculus and ordinary differential equations (ODEs). Participants also explore the nature of boolean algebra, including the concept of rigid boolean algebra, and share recommendations for books on the subject.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant questions whether boolean algebra is "hard" compared to calculus or ODEs, indicating a subjective nature to the difficulty.
  • Another participant suggests that boolean algebra is easy at first but can involve complicated concepts, depending on the user's intent.
  • Recommendations for books include "Introduction to Lattices and Order" by Davey and Priestley, "Lattices and Ordered Sets" by Roman, and the "Handbook of Boolean Algebra" by Monk, with varying levels of complexity noted.
  • There is mention of the applications of boolean algebra in fields like electricity and law, suggesting that different contexts may require different resources.
  • A participant expresses hesitation about contacting Dr. Monk for an internship, citing his fame and the participant's perception of their own qualifications.
  • Another participant encourages reaching out to Dr. Monk, arguing that it is worth asking despite potential rejection.

Areas of Agreement / Disagreement

Participants express differing views on the difficulty of boolean algebra compared to other mathematical disciplines, with no consensus reached on the matter. There is also a lack of agreement on the recognition of Dr. Monk's book within the broader mathematical community.

Contextual Notes

The discussion reflects varying personal experiences and perceptions regarding the complexity of boolean algebra and its applications, as well as the subjective nature of evaluating mathematical difficulty.

romsofia
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Is boolean algebra "hard" compared to calculus or ODE's? What's a rigid boolean algebra? And since I shouldn't start a new thread, can anyone recommend a good boolean algebra book?

Thanks for your answers!
 
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Hi romsofia! :smile:

Boolean algebra's are incredibly easy at first, but you can do some complicated things in them.

Anyway, a lot depends why you want to use boolean algebra. If you're interested in the mathematics behind the boolean algebra, then I recommend Davey and Priestley's Introduction to Lattices and Order.
As good as Davey&Priestley is "Lattices and Ordered Sets" by Roman.
A more difficult, but extremely comprehensive treatment of boolean algebra's is the Handbook of Boolean Algebra by Monk.

If you're interested in the applications of boolean algebra in electricity and law, then you're going to need other books. But I can't give much information on that;
 
micromass said:
Hi romsofia! :smile:

Boolean algebra's are incredibly easy at first, but you can do some complicated things in them.

Anyway, a lot depends why you want to use boolean algebra. If you're interested in the mathematics behind the boolean algebra, then I recommend Davey and Priestley's Introduction to Lattices and Order.
As good as Davey&Priestley is "Lattices and Ordered Sets" by Roman.
A more difficult, but extremely comprehensive treatment of boolean algebra's is the Handbook of Boolean Algebra by Monk.

If you're interested in the applications of boolean algebra in electricity and law, then you're going to need other books. But I can't give much information on that;

That's good news and bad news, my dad (computer engineer) also said that boolean algebra is really easy. Bad news is that I was going to ask Dr.Monk to see if he needed an intern for the summer since he is doing research in "the theory of infinite Boolean algebras" but seeing as he has a famous book out, I probably won't be emailing him. Nonetheless, thanks for your help as always micromass!
 
Why not email him? It can't hurt to ask, can it? It's likely that he says no, but you don't know that yet.

And I wouldn't call the book famous :smile: I think only the people working with boolean algebra's have heard of it. It's a good book, but I don't think many mathematicians know it...
 
micromass said:
Why not email him? It can't hurt to ask, can it? It's likely that he says no, but you don't know that yet.

And I wouldn't call the book famous :smile: I think only the people working with boolean algebra's have heard of it. It's a good book, but I don't think many mathematicians know it...

Just sent him an email, because you're right, I really have nothing to lose in this situation :P. Thanks for your help!
 

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