2019 - Discrete Mathematics and Its Applications - Kenneth H. Rosen - Eighth Edition
SPE, scientific pdf ebooks, your partner to the success, presents this new book (2019 edition).
What is discrete mathematics ? It is the part of mathematic that studies discrete elements, which in this context, consist of distinct or unconnected objects. Discrete mathematics can solve problems like:
- How many valid passwords can be chosen for a computer?
- What is the probability to win a lottery game?
- Can two computers in any network be linked?
- How can we identify spam messages?
- Can we encrypt messages so that they can't be read?
- What is the shortest road between two localities with a transportation system?
- Sort integers in increasing or decreasing order?
- Calculate the number of steps required for that?
- How can we prove that an algorithm rightfully sorts a list?
- Number of valid addresses in the internet?We will study the discrete techniques and structures we need to solve situations like this. In general, discrete mathematics is used to count objects, study relationships between finite sets and analyse processes concerning a countable number of steps. Discrete mathematics has become such a huge tool because we are using computers which store the informationin a discrete way.So, why study discrete mathematics?
There are many essential reasons to study discrete mathematics.
First, we can develop skills such as mathematical arguments. Second, discrete mathematics is considered as the link to more advanced parts of mathematics. In fact, it provides the mathematical basis for computer sciences, like data structures and databases, algorithms, automated theory, machine security, operating systems... It is more difficult if we have not the adequate discrete mathematical basis.
We can find many areas based on discrete mathematics (linear algebra, graph theory, logic, probability theory, number theory, abstract algebra, combinatorics, set theory...)Also, we will use discrete mathematics in interference with other areas such as operational researches, discrete optimization, chemistry, engineering, biology...
Keywords: maths, discrete mathematics, english ebooks
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