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Programming Algorithms
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Last updated on 2020-04-15
About the Book
http://lisp-univ-etc.blogspot.com/2020/04/programming-algorithms-book-freely.html
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About the Author
Hi, I'm Vsevolod Dyomkin (or Domkin according to the passport) from Kyiv, Ukraine.
I'm a Lisp programmer and enthusiast, a Natural Language Processing researcher, an occasional writer/blogger, and a teacher.
You can find some more relevant information at http://vseloved.github.io/
Table of Contents
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- Introduction
- Why Algorithms Matter
- A Few Words about Lisp
- Algorithmic Complexity
- A Crash Course in Lisp
- The Core of Lisp
- A Code Example
- The REPL
- Basic Expressions
- Sequential Execution
- Branching
- Looping
- Procedures and Variables
- Comments
- Getting Started
- Introduction
- Essential Data Structures
- 1 Data Structures
- Data Structures vs Algorithms
- The Data Structure Concept
- Contiguous and Linked Data Structures
- Tuples
- Passing Data Structures in Function Calls
- Structs in Action: Union-Find
- Take-Aways
- 2 Arrays
- Arrays as Sequences
- Dynamic Vectors
- Why Are Arrays Indexed from 0
- Multi-Dimensional Arrays
- Binary Search
- Binary Search in Action: a Fast Specialized In-Memory DB
- Sorting
- O(n^2) Sorting
- Quicksort
- Production Sort
- Performance Benchmark
- Take-Aways
- 3 Linked Lists
- Lists as Sequences
- Lists as Functional Data Structures
- Different Kinds of Lists
- FIFO & LIFO
- Queue
- Stack
- Deque
- Stacks in Action: SAX Parsing
- Lists as Sets
- Merge Sort
- Parallelization of Merge Sort
- Lists and Lisp
- Take-Aways
- 4 Key-Values
- Concrete Key-values
- Simple Arrays
- Associative Lists
- Hash-Tables
- Structs
- Trees
- Operations
- Memoization
- Memoization in Action: Transposition Tables
- Cache Invalidation
- Second Chance and Clock Algorithms
- LFU
- LRU
- Low-Level Caching
- Take-Aways
- Concrete Key-values
- 1 Data Structures
- Derivative Data Structures
- 5 Hash-Tables
- Implementation
- Dealing with Collisions
- Hash-Code
- Advanced Hashing Techniques
- Hash-Functions
- Operations
- Initialization
- Access
- Iteration
- Perfect Hashing
- Implementation
- The CHM92 Algorithm
- Distributed Hash-Tables
- Hashing in Action: Content Addressing
- Take-Aways
- Implementation
- 6 Trees
- Implementation Variants
- Tree Traversal
- Binary Search Trees
- Splay Trees
- Complexity Analysis
- Red-Black and AVL Trees
- B-Trees
- Heaps
- Tries
- Trees in Action: Efficient Mapping
- Take-Aways
- 7 Graphs
- Graph Representations
- Topological Sort
- MST
- Prim’s Algorithm
- Kruskal’s Algorithm
- Pathfinding
- Dijkstra’s Algorithm
- A* Algorithm
- Maximum Flow
- Graphs in Action: PageRank
- Implementation
- Take-Aways
- 8 Strings
- Basic String-Related Optimizations
- Strings in the Editor
- Substring Search
- Knuth-Morris-Pratt (KMP)
- Boyer-Moore (BM)
- Rabin-Karp (RK)
- Aho-Corasick (AC)
- Regular Expressions
- Implementation of the Thompson’s Construction
- Grammars
- String Search in Action: Plagiarism Detection
- Take-aways
- 5 Hash-Tables
- Selected Algorithms
- 9 Dynamic Programming
- Fibonacci Numbers
- String Segmentation
- Text Justification
- Pathfinding Revisited
- LCS and Diff
- DP in Action: Backprop
- Take-aways
- 10 Approximation
- Combinatorial Optimization
- Local Search
- Evolutionary Algorithms
- Branch & Bound
- Gradient Descent
- Improving GD
- Sampling
- Matrix Factorization
- Singular Value Decomposition
- Fourier Transform
- Fourier Transform in Action: JPEG
- Take-Aways
- 11 Compression
- Encoding
- Base64
- Lossless Compression
- Huffman Coding
- Huffman Coding in Action: Dictionary Optimization
- Arithmetic Coding
- DEFLATE
- Take-Aways
- 12 Synchronization
- Synchronization Troubles
- Low-Level Synchronization
- Mutual Exclusion Algorithms
- High-Level Synchronization
- Lock-Free Data Structures
- Data-Parallelism and Message Passing
- STM
- Distributed Computations
- Distributed Algorithms
- Distributed Data Structures
- Distributed Algorithms in Action: Collaborative Editing
- Persistent Data Structures
- Take-Aways
- Afterword
- Acknowledgments
- 9 Dynamic Programming
- Notes
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