I am interested in computational complexity theory, especially in the discussion of the P vs NP problem and complexity classes. Could you recommend some books that provide an in-depth introduction to these topics?
Recommended Books on Computational Complexity Theory
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Re: Recommended Books on Computational Complexity Theory
#2I believe I used Introduction to the Theory of Computation by Sipser for this and it's probably the one textbook most universities are going to use.
Maybe for more in depth reference about the algorithms at play Introduction to Algorithms (Cormen) will complement nicely; I don't remember how much Sipser goes into describing the algos.
Re: Recommended Books on Computational Complexity Theory
#3As someone else said already: Theory of Computation by Sipser is the go to intro book for this.
I'd recommend really reading the book front to back honestly. It helps to have a complete picture of everything that leads up to getting into complexity theory.
Sipser also has corresponding lectures that are available for free on YouTube here: https://www.youtube.com/watch?v=9syvZr-9xwk&list=PLidiQIHRzp....
Re: Recommended Books on Computational Complexity Theory
#4Scott Aaronson’s Quantum Computing Since Democritus is a clear, entertaining explanation of computational complexity theory as applied to both classical and quantum computers. I thoroughly enjoyed the book, and have recommended it to a number of friends.
https://www.amazon.com/Quantum-Computing-since-Democritus-Aa...
Re: Recommended Books on Computational Complexity Theory
#5The Dragon Book for Compilers
Re: Recommended Books on Computational Complexity Theory
#6As someone else said already: Theory of Computation by Sipser is the go to intro book for this. I'd recommend really reading the book front to back honestly. It helps to have a complete picture of everything that leads up to getting into complexity theory. Sipser also has corresponding lectures that are available for free on YouTube here: https://www.youtube.com/watch?v=9syvZr-9xwk&list=PLidiQIHRzp... .
Sipser is one of the best textbooks of all time from any field
Re: Recommended Books on Computational Complexity Theory
#7Books I have and recommend:
Introduction to the theory of computation - Michael Sipser
Computational complexity - Arora, Barak
Computational Complexity - Christos H. Papadimitriou
Computers and intractability - Michael R. Garey, David S. Johnson
Re: Recommended Books on Computational Complexity Theory
#8The Dragon Book for Compilers
But it's more about compilers and their design than typical ideas about computational complexity.
Re: Recommended Books on Computational Complexity Theory
#9As someone else said already: Theory of Computation by Sipser is the go to intro book for this. I'd recommend really reading the book front to back honestly. It helps to have a complete picture of everything that leads up to getting into complexity theory. Sipser also has corresponding lectures that are available for free on YouTube here: https://www.youtube.com/watch?v=9syvZr-9xwk&list=PLidiQIHRzp... .
You can also find solutions manuals in the usual places.
Re: Recommended Books on Computational Complexity Theory
#10Here's some more specific recommendations from the books people have mentioned:
* Part 3 of Sipser’s Introduction to the Theory of Computation
* The first half of Arora and Barak's Computational Complexity
No one had mentioned this one yet, but it provides nice exposition: Goldreich’s Computational Complexity: a Conceptual Perspective.
Here are some notes I put together on what's out there for learning complexity theory and a bit on where you can go next: https://bcmullins.github.io/complexity_theory_resources/.