Mathematics and computation : a theory revolutionizing technology and science
Material type:
TextPublication details: New Jersey : Princeton University Press, ©2019Description: xiii, 418p. ; 26 cmISBN: - 9780691189130
- 511.3 WIG-M
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | Course reserves |
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Reference
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IIITD Reference | Mathematics | REF 511.3 WIG-M (Browse shelf(Opens below)) | Checked out Not for loan | 04/02/2026 | 013673 |
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| REF 511.3 SOA-R Recursively enumerable sets and degrees : | REF 511.3 STE-F The foundations of mathematics | REF 511.3 VEL-H How to prove it : a structured approach | REF 511.3 WIG-M Mathematics and computation : a theory revolutionizing technology and science | REF 511.322 FRI-S Sets and computations | REF 511.322 JEC-S Set theory | REF 511.322 KAP-S Set theory and metric spaces |
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1. Introduction
2. Prelude: Computation, undecidability, and limits to mathematical knowledge
3. Computational complexity 101: The basics, P, and NP
4. Problems and classes inside (and around) NP
5. Lower bounds, Boolean circuits, and attacks on P vs. NP
6. Proof complexity
7. Randomness in computation
8. Abstract pseudo-randomness
9. Weak random sources and randomness extractors
10. Randomness and interaction in proofs
11. Quantum computing
12. Arithmetic complexity
13. Interlude: Concrete interactions between math and computational complexity
14. Space complexity: Modeling limited memory
15. Communication complexity: Modeling information bottlenecks
16. On-line algorithms: Coping with an unknown future
17. Computational learning theory, AI, and beyond
18. Cryptography: Modeling secrets and lies, knowledge and trust
19. Distributed computing: Coping with asynchrony
20. Epilogue: A broader perspective of ToC
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