Ebook Free Download | Discrete and Combinatorial Mathematics: An Applied Introduction (Third Edition) | The technological advances of the last twenty-five years have resulted in several changes in the undergraduate curriculum. These changes have fostered the development of many single and multiple semester courses where some of the following are introduced:
1. Discrete methods that stress the finite nature inherent in many problems and structures;
2. Combinatorics the algebra of enumeration, or counting
3. Graph theory with its applications and interrelations with areas such as data structures and methods of optimization
4. Finite algebraic structures that arise in conjunction with disciplines such as coding theory, methods of enumeration, gating networks, and combinatorial designs.
A primary reason for studying the material in any or all of these four major topics is the abundance of applications one finds in the study of computer science especially in the areas of data structures, the theory of computer languages, and the analysis of algorithms. In addition, there are also applications in engineering and the physical and life sciences, as well as in statistics and the social sciences. Consequently, the subject matter of discrete and combinatorial mathematics provides valuable material for students in many majors—not just for those majoring in mathematics or computer science.
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