
Practical Discrete Mathematics
By :

Practical Discrete Mathematics
By:
Overview of this book
Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks.
Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level.
As you learn the language of discrete mathematics, you’ll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you’ll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science.
By the end of this book, you’ll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.
Table of Contents (17 chapters)
Preface
Part I – Basic Concepts of Discrete Math
Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions
Chapter 2: Formal Logic and Constructing Mathematical Proofs
Chapter 3: Computing with Base-n Numbers
Chapter 4: Combinatorics Using SciPy
Chapter 5: Elements of Discrete Probability
Part II – Implementing Discrete Mathematics in Data and Computer Science
Chapter 6: Computational Algorithms in Linear Algebra
Chapter 7: Computational Requirements for Algorithms
Chapter 8: Storage and Feature Extraction of Graphs, Trees, and Networks
Chapter 9: Searching Data Structures and Finding Shortest Paths
Part III – Real-World Applications of Discrete Mathematics
Chapter 10: Regression Analysis with NumPy and Scikit-Learn
Chapter 11: Web Searches with PageRank
Chapter 12: Principal Component Analysis with Scikit-Learn
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