Elementary Algorithms

Why?

There are plenty of books about algorithms, such as "Introduction to algorithms", "The art of computer programming", "structure and interpretation of computer programs"… why another book? Is it reinvention of wheel? 

This book can"t compare with the above classic bibles at all. It has some features like: 

• All algorithms are described in math formulas and pseudo codes. I hope it bring some taste of elegant by using algebraic symbols. 
  
• All algorithms are realized in both purely functional and imperative approaches. 
  
• The examples are provided in multiple programming languages, including C, Haskell, Python, C++, Scheme/Lisp. Haskell is the main language for all functional implementations. 
  

Content

The following content are covered in this book (in the order of appearance)

• Binary search tree, insertion sort, red-black tree, AVL tree, Trie, Patricia, suffix tree, B-tree; 
  
• Binary heap, Leftist heap, skew heap, splay heap, selection sort, binomial heap, Fibonacci heap, pairing heap; 
  
• Queue, Finger tree based sequence, quick sort, merge sort, binary search, saddle-back search, KMP, Boyer-Moore, DFS, BFS, Greedy algorithm, Dynamic programming.