Discrete Mathematics is an area in mathematics that deals with the study of mathematical models that are fundamentally discrete. The object’s studies in discrete mathematics do not vary continuously.
Integers can sometimes enumerate discrete objects. So, what exactly is discrete mathematics? In easy words, it can be described as the mathematics of numbers that are distinct and separable. Discrete mathematics concerns itself with finite collections of discrete objects.
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Table of Contents
Topics covered under Discrete Mathematics
Discrete mathematics is a varied field in which structures can be counted and arranged. A lot of different topics are covered under discrete mathematics in which formulas and rules can overlap among different topics. The different topics covered under discrete mathematics are
- Set Theory
- Probability
- Graph Theory
- Logic
- Bijection
- Combinatorics
- Statistics
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Importance of Discrete Mathematics
Discrete Mathematics is a very important field of study.
- It helps in analyzing data and problem-solving.
- Discrete mathematics is a collection of important methods and mathematical tools important for higher-level problem-solving.
- The concepts of discrete mathematics are very much useful in computer programming, writing algorithms, etcetera.
- It can be used in solving real-world problems.
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Applications of Discrete Mathematics?
Discrete mathematics helps with algorithm and complexity. It can be put into use for much real-life problem solving too. There are many applications of discrete mathematics.
- It helps a company or any organization in keeping track of people with the help of the relational database.
- It helps in logistics and makes problems easier with the help of graphs and charts.
- The whole field of cryptography is dependent upon discrete mathematics as it uses different combinations and sends information in distinct bits.
- Notations and concepts are used in the field of computer science a lot. The algorithms, the programs, and most other coding related stuff make extensive use of discrete mathematics.
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Best Books of Discrete Mathematics
Discrete mathematics is a wide and very interesting branch of mathematics. New research is always in process, and new books are always coming up. Some of the best books of discrete mathematics are mentioned below.
- Discrete Mathematics and Applications by Kenneth Rosen
- A Beginners Guide to Discrete Mathematics by W.D. Wallis
- Introductory Discrete Mathematics by V.K. Balakrishnan
FAQS
Ans. Discrete mathematics is used in many different fields. It is very important as it helps with problem-solving skills and analysis. It can also be applied to solve many problems in the real world. It helps in understanding data and numbers that aren’t continuous.
Ans. Discrete mathematics stands for objects that are distinct and can be combined or put together and used in different forms. Many topics are covered under discrete mathematics set theory, combinatorics, etcetera, being a few of the topics.
Ans. Yes, the concepts of discrete mathematics are very important and need to be studied for programming. It will help in solving complex programs and algorithms.
Ans. Discrete Mathematics is an area in mathematics that deals with the study of mathematical models that are fundamentally discrete. Examples of discrete mathematics are combinations, graphs, and logical statements.
Ans. No, it’s not that difficult, like linear algebra and calculus that are considered taught in school, discrete math is also like that. You can easily be understood.
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