This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the ...

Mathematical maturity is an absolute must. Computational Complexity theory looks at the computational resources (time, memory, communication, ...) needed to solve computational problems that we care ...

Quantum algorithms and computational complexity have emerged as pivotal areas of research in the last few decades, driven by the potential of quantum computing to revolutionize various fields. The ...

Complexity theory aims to understand and classify computational problems, especially decision problems, according to their inherent complexity. This book uses new techniques to expand the theory for ...