Mastering Discrete Mathematics - From Theory to Real World Engineering Applications
Mastering Discrete Mathematics - From Theory to Real World Engineering Applications
About the Book
This book offers a comprehensive introduction to discrete mathematics, a field that explores countable mathematical structures. Unlike calculus, which deals with continuous change, discrete mathematics focuses on distinct, separable objects such as integers, graphs, and logical statements. The text is designed to provide readers with a clear and practical understanding of discrete mathematical concepts, emphasizing their applications in software engineering and computer science. From foundational topics like set theory and logic to more advanced subjects such as graph theory and algorithms, this guide bridges the gap between abstract mathematical principles and their real-world implementation in computing. Whether you're a student embarking on a computer science journey or a professional seeking to enhance your mathematical toolkit, this book serves as an accessible and practical resource for mastering the essential elements of discrete mathematics.
Table of Contents
- Introduction to Discrete Mathematics
- Set Theory
- Logic and Boolean Algebra
- Number Theory
- Graph Theory and Networks
- Algorithms and Complexity
- Combinatorics
- Relations and Functions
- Recurrence Relations
- Trees and Graphs
- Probability and Statistics
- Advanced Topics in Discrete Mathematics
- Applications of Discrete Mathematics
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