Mathematical logic or logic is the discipline that deals with the methods of reasoning. It provides rules and techniques for determining whether a given argument or mathematical proof or conclusion in a scientific theory is valid or not.

One of the most important tools in mathematics is the theory of sets. The notation, terminology and concepts of set theory are helpful in studying any branch of mathematics. Every branch of mathematics can be considered as a study of sets of objects of one kind or another. Further, sets and mathematical logic are now basic to the design of computers and electrical circuits.

Combinatorics is the branch of mathematics meant to solve counting problems without enumerating all possible cases. At an elementary level, Combinatorics is usually considered as a part of discrete mathematics in which the main problem is that of counting the number of ways of arranging or choosing objects from a finite set according to some simple specified rules. At an advanced level, combinator......

Graph theory is one of the most developing branches of mathematics with wide applications to computer science. Graph theory is applied in diverse areas such as social sciences, linguistics, physical sciences, communication engineering and others. Graph theory also plays an important role in several areas of computer science, such as switching theory and logic design, artificial intelligence, forma......

Trees form one of the most widely used subclasses of graphs. In Computer Science, trees are useful in organizing and relating data in a data base. Trees arise in many practical applications; frequently they occur in situations where many elements are to be organized into some sort of hierarchy that expresses what is more important, what must be done first, or what is more desirable.

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