Computational Complexity
Computational Complexity
From Asymptotic Foundations to Quantum Computing and NP Completeness Theory
About the Book
Computational Complexity: From Asymptotic Foundations to Quantum Computing and NP-Completeness Theory is a comprehensive guide for researchers and professionals exploring the theoretical limits of computation. This definitive resource bridges classical complexity theory with cutting-edge quantum computing developments.
The book meticulously examines:
- Time and space complexity classes (P, NP, PSPACE)
- Advanced algorithmic efficiency analysis
- Quantum computational models and their complexity boundaries
- Complete proofs of major NP-completeness theorems
- Practical applications of complexity theory in cryptography and algorithm design
This volume provides both rigorous mathematical foundations and accessible explanations of complex concepts for readers at all levels.
About the Author
Table of Contents
- Introduction to Computational Complexity
- Time and Space Complexity
- Complexity Classes: P, NP, and Beyond
- Reductions and NP-Completeness
- Approximation Algorithms
- Randomized Algorithms
- Cryptography and Computational Hardness
- Parallel and Distributed Complexity
- Quantum Complexity
- Applications in Artificial Intelligence
- Optimization and Operations Research
- Advanced Topics in Computational Complexity
- Future Directions and Open Problems
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