Discrete Mathematics Basic Concepts and Practical Applications
Description :
This book thoroughly explores the basic concepts of discrete mathematics, providing readers with an in-depth understanding of a variety of essential topics. The discussion begins with an exploration of numbers in discrete mathematics, discussing various types of numbers such as integers, prime and binary. The author presents these concepts in a clear way and is supported by concrete examples so that readers can understand the essence of numbers in discrete mathematics.
Next, this book discusses sets with a systematic approach, explaining the basic concepts of sets, combinations and intersections. The use of sets in discrete mathematics is illustrated by practical applications in modeling real situations. Readers will see how sets can be used to construct rules, predict probabilities, and solve everyday problems.
Mathematical logic is the next focus, where readers are invited to understand the basics of propositional and predicate logic. Discussions regarding drawing conclusions, truth tables, and their application in solving mathematical logic problems provide a strong foundation for the development of analytical thinking.
The matrix section presents the concept of matrices in discrete mathematics and its applications in various fields. Readers are introduced to matrix, inverse, and determinant operations, while seeing how matrices are used in modeling linear systems and data processing.
Combinatorial concepts discuss permutations, combinations, and their use in opportunity analysis. Readers will learn how to calculate the probability of an event and design combinatorial strategies in practical situations.
Graphs and trees are the next topic, introducing readers to how to represent and analyze relationships between elements in graphical form. This concept is applied in network modeling, shortest route problems, and tree structure analysis.
This book not only explores discrete mathematics concepts, but also invites readers to see the practical application of each concept. With carefully presented material and numerous supporting examples, this book is a valuable guide for those who wish to understand and apply discrete mathematics in a variety of practical contexts.
Writer : Parulian Silalahi, Sidhiq Andriyanto, Monica
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