An Advanced introduction 1st Edition by Narain Gehani ISBN 071678193X 9780716781936

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ISBN 10: 071678193X
ISBN 13: 9780716781936
Author: Narain Gehani

An Advanced introduction 1st Edition Table of contents:

Part I: Advanced Algorithms and Data Structures

2. Advanced Data Structures

   • Trees, Heaps, and Balanced Search Trees
   • B-Trees and Red-Black Trees
   • Splay Trees and AVL Trees
   • Hashing with Advanced Collision Techniques
   • Data Structures for Graphs and Matrices

3. Dynamic Programming and Greedy Algorithms

   • Complex Applications of Dynamic Programming
   • Advanced Greedy Algorithms and Their Applications
   • Optimization Techniques in Algorithm Design
   • Backtracking vs. Greedy Algorithms
   • Case Studies in Algorithm Design

4. Graph Algorithms and Network Flow

   • Advanced Graph Algorithms: Network Flow, Matching, and Cuts
   • Graph Traversal Techniques and Their Applications
   • Shortest Path and Minimum Spanning Tree Algorithms
   • Applications in Social Networks, Biology, and Communication Systems

Part II: Computability and Complexity Theory

5. Advanced Computability Theory

   • Turing Machines and Computability in Depth
   • The Halting Problem and Undecidability
   • Recursive Functions and Lambda Calculus
   • Church-Turing Thesis and Its Implications
   • Reductions and Their Role in Computability

6. Complexity Classes and NP-Completeness

   • In-Depth Study of NP, NP-Complete, and NP-Hard Problems
   • Reductions Between Complex Problems
   • The P vs NP Problem
   • Approximation Algorithms and Heuristics
   • Cryptography and Its Complexity Foundations

7. Parallel and Distributed Computation

   • Parallel Algorithms and Architectures
   • Models of Parallelism: PRAM, P-RAM, and MapReduce
   • Distributed Algorithms and Coordination
   • Time Complexity in Parallel Computation
   • Synchronization and Fault Tolerance in Distributed Systems

Part III: Formal Languages and Automata

8. Formal Language Theory

   • Context-Free Grammars and Their Properties
   • Parsing Algorithms and Techniques
   • Advanced Topics in Syntax and Semantics
   • Regular Expressions and Their Applications
   • Language Recognition and Theoretical Analysis

9. Automata Theory and Computation Models

   • Finite Automata and Their Applications
   • Pushdown Automata and Context-Free Languages
   • Turing Machines and Variants of Computation
   • Quantum Computing Models
   • Automata in Natural Language Processing

Part IV: Software Engineering and Design Principles

10. Advanced Software Engineering Techniques

• Design Patterns and Software Architectures
• Model-Driven Engineering and Formal Methods
• Software Verification and Validation
• Continuous Integration and Agile Methodologies
• Case Studies in Complex Software Development

11. Advanced Topics in Database Systems

• Query Optimization and Indexing Techniques
• Distributed Databases and Transactions
• Data Warehousing and Big Data Solutions
• Graph Databases and Their Applications
• NoSQL and NewSQL Systems

12. Artificial Intelligence and Machine Learning

• Advanced Machine Learning Algorithms: SVM, Neural Networks
• Deep Learning and Reinforcement Learning
• Natural Language Processing (NLP) and AI Algorithms
• AI Planning and Knowledge Representation
• Ethical Considerations in AI Research

Conclusion
13. The Future of Advanced Topics in Computing

• Emerging Trends in Advanced Computing
• The Role of Artificial Intelligence and Quantum Computing
• Interdisciplinary Research and its Impact on Computing
• The Future of Computational Complexity and Cryptography
• Final Thoughts on Innovation in Computer Science

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