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• Cover
• Title Page
• Copyright
• Introduction
• About This Book
• Foolish Assumptions
• Icons Used in This Book
• Beyond the Book
• Where to Go from Here
• Part 1: Getting Started with Algorithms
• Chapter 1: Introducing Algorithms
• Describing Algorithms
• Using Computers to Solve Problems
• Distinguishing between Issues and Solutions
• Structuring Data to Obtain a Solution
• Chapter 2: Considering Algorithm Design
• Starting to Solve a Problem
• Dividing and Conquering
• Learning that Greed Can Be Good
• Computing Costs and Following Heuristics
• Evaluating Algorithms
• Chapter 3: Working with Google Colab
• Defining Google Colab
• Working with Notebooks
• Performing Common Tasks
• Using Hardware Acceleration
• Executing the Code
• Getting Help
• Chapter 4: Performing Essential Data Manipulations Using Python
• Performing Calculations Using Vectors and Matrixes
• Creating Combinations the Right Way
• Getting the Desired Results Using Recursion
• Performing Tasks More Quickly
• Chapter 5: Developing a Matrix Computation Class
• Avoiding the Use of NumPy
• Understanding Why Using a Class is Important
• Building the Basic Class
• Manipulating the Matrix
• Part 2: Understanding the Need to Sort and Search
• Chapter 6: Structuring Data
• Determining the Need for Structure
• Stacking and Piling Data in Order
• Working with Trees
• Representing Relations in a Graph
• Chapter 7: Arranging and Searching Data
• Sorting Data Using Merge Sort and Quick Sort
• Using Search Trees and the Heap
• Relying on Hashing
• Part 3: Exploring the World of Graphs
• Chapter 8: Understanding Graph Basics
• Explaining the Importance of Networks
• Defining How to Draw a Graph
• Measuring Graph Functionality
• Putting a Graph in Numeric Format
• Chapter 9: Reconnecting the Dots
• Traversing a Graph Efficiently
• Sorting the Graph Elements
• Reducing to a Minimum Spanning Tree
• Finding the Shortest Route
• Chapter 10: Discovering Graph Secrets
• Envisioning Social Networks as Graphs
• Navigating a Graph
• Chapter 11: Getting the Right Web page
• Finding the World in a Search Engine
• Explaining the PageRank Algorithm
• Implementing PageRank
• Going Beyond the PageRank Paradigm
• Part 4: Wrangling Big Data
• Chapter 12: Managing Big Data
• Transforming Power into Data
• Streaming Flows of Data
• Sketching an Answer from Stream Data
• Chapter 13: Parallelizing Operations
• Managing Immense Amounts of Data
• Working Out Algorithms for MapReduce
• Chapter 14: Compressing and Concealing Data
• Making Data Smaller
• Hiding Your Secrets with Cryptography
• Part 5: Challenging Difficult Problems
• Chapter 15: Working with Greedy Algorithms
• Deciding When It Is Better to Be Greedy
• Finding Out How Greedy Can Be Useful
• Chapter 16: Relying on Dynamic Programming
• Explaining Dynamic Programming
• Discovering the Best Dynamic Recipes
• Chapter 17: Using Randomized Algorithms
• Defining How Randomization Works
• Putting Randomness into your Logic
• Chapter 18: Performing Local Search
• Understanding Local Search
• Presenting local search tricks
• Solving Satisfiability of Boolean Circuits
• Chapter 19: Employing Linear Programming
• Using Linear Functions as a Tool
• Using Linear Programming in Practice
• Chapter 20: Considering Heuristics
• Differentiating Heuristics
• Routing Robots Using Heuristics
• Explaining Path Finding Algorithms
• Part 6: The Part of Tens
• Chapter 21: Ten Algorithms That Are Changing the World
• Using Sort Routines
• Looking for Things with Search Routines
• Shaking Things Up with Random Numbers
• Performing Data Compression
• Keeping Data Secret
• Changing the Data Domain
• Analyzing Links
• Spotting Data Patterns
• Dealing with Automation and Automatic Responses
• Creating Unique Identifiers
• Chapter 22: Ten Algorithmic Problems Yet to Solve
• Solving Problems Quickly
• Solving 3SUM Problems More Efficiently
• Making Matrix Multiplication Faster
• Determining Whether an Application Will End
• Creating and Using One-Way Functions
• Multiplying Really Large Numbers
• Dividing a Resource Equally
• Reducing Edit Distance Calculation Time
• Playing the Parity Game
• Understanding Spatial Issues
• Index
• About the Authors
• Advertisement Page
• Connect with Dummies
• End User License Agreement