Description

Book Synopsis

Kirupa Chinnathambi has spent most of his life teaching others to love web development as much as he does. He founded KIRUPA, one of the Web's most popular free web development education resources, serving 210,000+ registered members. Now a product manager at Google, he has authored several books, including Learning React (2017). He holds a B.S. in computer science from MIT.



Table of Contents

Part I: Data Structures

Chapter 1. Introduction to Data Structures .................................................................. 1

Right Tool for the Right Job .................................................................................... 2

Back to Data Structures ........................................................................................... 5

Conclusion ................................................................................................................. 6

Chapter 2. Big-O Notation and Complexity Analysis ................................................... 7

It's Example Time ...................................................................................................... 8

It's Big-O Notation Time! .......................................................................................11

Conclusion ...............................................................................................................15

Chapter 3. Arrays ....................................................................................................... 17

What Is an Array? ....................................................................................................18

Array Implementation / Use Cases .......................................................................24

Arrays and Memory ................................................................................................26

Performance Considerations .................................................................................30

Conclusion ...............................................................................................................32

Chapter 4. Linked Lists ............................................................................................... 35

Meet the Linked List ...............................................................................................36

Linked List: Time and Space Complexity .............................................................40

Linked List Variations ..............................................................................................41

Implementation .......................................................................................................44

Conclusion ...............................................................................................................52

Chapter 5. Stacks ........................................................................................................ 53

Meet the Stack ........................................................................................................54

A JavaScript Implementation ................................................................................56

Stacks: Time and Space Complexity ....................................................................58

Conclusion ...............................................................................................................59

Chapter 6. Queues ..................................................................................................... 61

Meet the Queue .....................................................................................................62

A JavaScript Implementation ................................................................................64

Queues: Time and Space Complexity ..................................................................66

Conclusion ...............................................................................................................67

Chapter 7. Trees ......................................................................................................... 69

Trees 101 .................................................................................................................70

Height and Depth ...................................................................................................75

Conclusion ...............................................................................................................77

Chapter 8. Binary Trees .............................................................................................. 79

Meet the Binary Tree ..............................................................................................80

A Simple Binary Tree Implementation ..................................................................86

Conclusion ...............................................................................................................89

Chapter 9. Binary Search Trees ................................................................................... 91

It's Just a Data Structure ........................................................................................93

Implementing a Binary Search Tree ....................................................................103

Performance and Memory Characteristics .........................................................110

Conclusion .............................................................................................................112

Chapter 10. Heaps ...................................................................................................... 113

Meet the Heap ......................................................................................................114

Heap Implementation ..........................................................................................126

Performance Characteristics ................................................................................132

Conclusion .............................................................................................................134

Chapter 11. Hashtable (aka Hashmap or Dictionary) .................................................. 137

A Very Efficient Robot ..........................................................................................138

From Robots to Hashing Functions ....................................................................142

From Hashing Functions to Hashtables .............................................................145

JavaScript Implementation/Usage ......................................................................148

Dealing with Collisions .........................................................................................150

Performance and Memory ...................................................................................151

Conclusion .............................................................................................................153

Chapter 12. Trie (aka Prefix Tree) ............................................................................... 155

What Is a Trie? ......................................................................................................156

Diving Deeper into Tries ......................................................................................167

Many More Examples Abound! ..........................................................................172

Implementation Time ...........................................................................................173

Performance ..........................................................................................................179

Conclusion .............................................................................................................181

Chapter 13. Graphs .................................................................................................... 183

What Is a Graph? ..................................................................................................184

Graph Implementation .........................................................................................190

Conclusion .............................................................................................................196

Part II: Algorithms

Chapter 14. Introduction to Recursion ....................................................................... 199

Our Giant Cookie Problem ..................................................................................200

Recursion in Programming ..................................................................................202

Conclusion .............................................................................................................206

Chapter 15. Fibonacci and Going Beyond Recursion ................................................. 207

Recursively Solving the Fibonacci Sequence ....................................................209

Recursion with Memoization ...............................................................................213

Taking an Iteration-Based Approach ..................................................................215

Going Deeper on the Speed ..............................................................................217

Conclusion .............................................................................................................218

Chapter 16. Towers of Hanoi ...................................................................................... 221

How Towers of Hanoi Is Played ..........................................................................222

The Single Disk Case ...........................................................................................223

It's Two Disk Time .................................................................................................224

Three Disks ............................................................................................................225

The Algorithm .......................................................................................................228

The Code Solution ...............................................................................................229

Check Out the Recursiveness! ............................................................................231

It's Math Time ........................................................................................................232

Conclusion .............................................................................................................234

Chapter 17. Search Algorithms and Linear Search ..................................................... 235

Linear Search .........................................................................................................236

Conclusion .............................................................................................................241

Chapter 18. Faster Searching with Binary Search ....................................................... 243

Binary Search in Action ........................................................................................243

The JavaScript Implementation ..........................................................................250

Runtime Performance ...........................................................................................254

Conclusion .............................................................................................................257

Chapter 19. Binary Tree Traversal ............................................................................... 259

Breadth-First Traversal ..........................................................................................260

Depth-First Traversal ............................................................................................265

Implementing Our Traversal Approaches ..........................................................270

Performance of Our Traversal Approaches ........................................................278

Conclusion .............................................................................................................279

Chapter 20. Depth-First Search (DFS) and Breadth-First Search (BFS) ....................... 281

A Tale of Two Exploration Approaches ..............................................................282

It's Example Time ..................................................................................................285

When to Use DFS? When to Use BFS? ..............................................................298

A JavaScript Implementation ..............................................................................300

Performance Details .............................................................................................307

Conclusion .............................................................................................................308

Chapter 21. Quicksort ................................................................................................ 309

A Look at How Quicksort Works .........................................................................310

Another Simple Look ...........................................................................................314

It's Implementation Time .....................................................................................319

Performance Characteristics ................................................................................322

Conclusion .............................................................................................................323

Chapter 22. Bubblesort .............................................................................................. 325

How Bubblesort Works ........................................................................................326

Walkthrough ..........................................................................................................329

The Code ...............................................................................................................333

Conclusion .............................................................................................................333

Chapter 23. Insertion Sort .......................................................................................... 335

How Insertion Sort Works ....................................................................................336

One More Example ..............................................................................................347

Algorithm Overview and Implementation .........................................................349

Performance Analysis ...........................................................................................351

Conclusion .............................................................................................................353

Chapter 24. Selection Sort ......................................................................................... 355

Selection Sort Walkthrough .................................................................................356

Algorithm Deep Dive ...........................................................................................364

The JavaScript Implementation ..........................................................................366

Conclusion .............................................................................................................369

Chapter 25. Mergesort ............................................................................................... 371

How Mergesort Works .........................................................................................372

Mergesort: The Algorithm Details ......................................................................379

Looking at the Code ............................................................................................380

Conclusion .............................................................................................................381

Conclusion .................................................................................................................383

Index ............................................................................................................................ 387

Absolute Beginners Guide to Algorithms

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      Publisher: Pearson Education (US)
      Publication Date: 11/12/2023
      ISBN13: 9780138222291, 978-0138222291
      ISBN10: 138222290

      Description

      Book Synopsis

      Kirupa Chinnathambi has spent most of his life teaching others to love web development as much as he does. He founded KIRUPA, one of the Web's most popular free web development education resources, serving 210,000+ registered members. Now a product manager at Google, he has authored several books, including Learning React (2017). He holds a B.S. in computer science from MIT.



      Table of Contents

      Part I: Data Structures

      Chapter 1. Introduction to Data Structures .................................................................. 1

      Right Tool for the Right Job .................................................................................... 2

      Back to Data Structures ........................................................................................... 5

      Conclusion ................................................................................................................. 6

      Chapter 2. Big-O Notation and Complexity Analysis ................................................... 7

      It's Example Time ...................................................................................................... 8

      It's Big-O Notation Time! .......................................................................................11

      Conclusion ...............................................................................................................15

      Chapter 3. Arrays ....................................................................................................... 17

      What Is an Array? ....................................................................................................18

      Array Implementation / Use Cases .......................................................................24

      Arrays and Memory ................................................................................................26

      Performance Considerations .................................................................................30

      Conclusion ...............................................................................................................32

      Chapter 4. Linked Lists ............................................................................................... 35

      Meet the Linked List ...............................................................................................36

      Linked List: Time and Space Complexity .............................................................40

      Linked List Variations ..............................................................................................41

      Implementation .......................................................................................................44

      Conclusion ...............................................................................................................52

      Chapter 5. Stacks ........................................................................................................ 53

      Meet the Stack ........................................................................................................54

      A JavaScript Implementation ................................................................................56

      Stacks: Time and Space Complexity ....................................................................58

      Conclusion ...............................................................................................................59

      Chapter 6. Queues ..................................................................................................... 61

      Meet the Queue .....................................................................................................62

      A JavaScript Implementation ................................................................................64

      Queues: Time and Space Complexity ..................................................................66

      Conclusion ...............................................................................................................67

      Chapter 7. Trees ......................................................................................................... 69

      Trees 101 .................................................................................................................70

      Height and Depth ...................................................................................................75

      Conclusion ...............................................................................................................77

      Chapter 8. Binary Trees .............................................................................................. 79

      Meet the Binary Tree ..............................................................................................80

      A Simple Binary Tree Implementation ..................................................................86

      Conclusion ...............................................................................................................89

      Chapter 9. Binary Search Trees ................................................................................... 91

      It's Just a Data Structure ........................................................................................93

      Implementing a Binary Search Tree ....................................................................103

      Performance and Memory Characteristics .........................................................110

      Conclusion .............................................................................................................112

      Chapter 10. Heaps ...................................................................................................... 113

      Meet the Heap ......................................................................................................114

      Heap Implementation ..........................................................................................126

      Performance Characteristics ................................................................................132

      Conclusion .............................................................................................................134

      Chapter 11. Hashtable (aka Hashmap or Dictionary) .................................................. 137

      A Very Efficient Robot ..........................................................................................138

      From Robots to Hashing Functions ....................................................................142

      From Hashing Functions to Hashtables .............................................................145

      JavaScript Implementation/Usage ......................................................................148

      Dealing with Collisions .........................................................................................150

      Performance and Memory ...................................................................................151

      Conclusion .............................................................................................................153

      Chapter 12. Trie (aka Prefix Tree) ............................................................................... 155

      What Is a Trie? ......................................................................................................156

      Diving Deeper into Tries ......................................................................................167

      Many More Examples Abound! ..........................................................................172

      Implementation Time ...........................................................................................173

      Performance ..........................................................................................................179

      Conclusion .............................................................................................................181

      Chapter 13. Graphs .................................................................................................... 183

      What Is a Graph? ..................................................................................................184

      Graph Implementation .........................................................................................190

      Conclusion .............................................................................................................196

      Part II: Algorithms

      Chapter 14. Introduction to Recursion ....................................................................... 199

      Our Giant Cookie Problem ..................................................................................200

      Recursion in Programming ..................................................................................202

      Conclusion .............................................................................................................206

      Chapter 15. Fibonacci and Going Beyond Recursion ................................................. 207

      Recursively Solving the Fibonacci Sequence ....................................................209

      Recursion with Memoization ...............................................................................213

      Taking an Iteration-Based Approach ..................................................................215

      Going Deeper on the Speed ..............................................................................217

      Conclusion .............................................................................................................218

      Chapter 16. Towers of Hanoi ...................................................................................... 221

      How Towers of Hanoi Is Played ..........................................................................222

      The Single Disk Case ...........................................................................................223

      It's Two Disk Time .................................................................................................224

      Three Disks ............................................................................................................225

      The Algorithm .......................................................................................................228

      The Code Solution ...............................................................................................229

      Check Out the Recursiveness! ............................................................................231

      It's Math Time ........................................................................................................232

      Conclusion .............................................................................................................234

      Chapter 17. Search Algorithms and Linear Search ..................................................... 235

      Linear Search .........................................................................................................236

      Conclusion .............................................................................................................241

      Chapter 18. Faster Searching with Binary Search ....................................................... 243

      Binary Search in Action ........................................................................................243

      The JavaScript Implementation ..........................................................................250

      Runtime Performance ...........................................................................................254

      Conclusion .............................................................................................................257

      Chapter 19. Binary Tree Traversal ............................................................................... 259

      Breadth-First Traversal ..........................................................................................260

      Depth-First Traversal ............................................................................................265

      Implementing Our Traversal Approaches ..........................................................270

      Performance of Our Traversal Approaches ........................................................278

      Conclusion .............................................................................................................279

      Chapter 20. Depth-First Search (DFS) and Breadth-First Search (BFS) ....................... 281

      A Tale of Two Exploration Approaches ..............................................................282

      It's Example Time ..................................................................................................285

      When to Use DFS? When to Use BFS? ..............................................................298

      A JavaScript Implementation ..............................................................................300

      Performance Details .............................................................................................307

      Conclusion .............................................................................................................308

      Chapter 21. Quicksort ................................................................................................ 309

      A Look at How Quicksort Works .........................................................................310

      Another Simple Look ...........................................................................................314

      It's Implementation Time .....................................................................................319

      Performance Characteristics ................................................................................322

      Conclusion .............................................................................................................323

      Chapter 22. Bubblesort .............................................................................................. 325

      How Bubblesort Works ........................................................................................326

      Walkthrough ..........................................................................................................329

      The Code ...............................................................................................................333

      Conclusion .............................................................................................................333

      Chapter 23. Insertion Sort .......................................................................................... 335

      How Insertion Sort Works ....................................................................................336

      One More Example ..............................................................................................347

      Algorithm Overview and Implementation .........................................................349

      Performance Analysis ...........................................................................................351

      Conclusion .............................................................................................................353

      Chapter 24. Selection Sort ......................................................................................... 355

      Selection Sort Walkthrough .................................................................................356

      Algorithm Deep Dive ...........................................................................................364

      The JavaScript Implementation ..........................................................................366

      Conclusion .............................................................................................................369

      Chapter 25. Mergesort ............................................................................................... 371

      How Mergesort Works .........................................................................................372

      Mergesort: The Algorithm Details ......................................................................379

      Looking at the Code ............................................................................................380

      Conclusion .............................................................................................................381

      Conclusion .................................................................................................................383

      Index ............................................................................................................................ 387

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