Discrete Mathematics for Computer Scientists and Mathematicians By Joe L Mott

Discrete Mathematics for Computer Scientists and Mathematicians: Discrete Mathematics Joe L Mott Book Explains Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying “smoothly”, the objects studied in discrete mathematics – such as integers, graphs, and statements in logic.

 

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Discrete Mathematics for Computer Scientists and Mathematicians Book by Joe R. Mott (Author), Abraham Kandel (Author), Theodore P. Baker (Author).

Book Published in 1985.

Book Explains the
This is a lucidly written fine-tuned introduction to discrete mathematics. It is eminently suited for students persuing BCA, MCA and B.E./B.Tech courses. Considering the importance of the subject, quite a number of universities have sought to introduce discrete mathematics as a core subject in the engineering curriculum.

Key Features

  • Comprehensive discussions on Boolean algebras, logic and other proof techniques graph theory, mathematical induction, and recurrence relations have been dealt with.
  • Gives good insights into graphs as a modeling tool.
  • Gives better understanding of computer solutions of differential equations.
  • Many worked out examples and solutions follow each section.

Table of Contents

Preface

Acknowledgments

A Note to the Reader

Foundations

Elementary Combinatorics

Recurrence Relations

Relations and Digraphs

Graphs

Boolean Algebras

Network Flows

Representation and Manipulation of Imprecision

Bibliography

Index

Discrete Mathematics For Computer Scientists And Mathematicians Joe L Mott Solution Manual:

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Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. Discrete Mathematics Books  is a very good tool for improving reasoning and problem-solving capabilities. The Book explains the fundamental concepts of Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction and Recurrence Relations, Graph Theory, Trees and Boolean Algebra.

Discrete Mathematical Structures for the domain of mathematics and computer science, graph theory is the study of graphs that concerns with the relationship among edges and vertices. It is a popular subject having its applications in computer science, mathematics, information technology, biosciences, and linguistics to name a few. Discrete Mathematics Topics Without further ado, let us start with defining a graph.

What is a Graph?

A graph is a pictorial representation of a set of objects where some pairs of objects are connected by links. Discrete Mathematics for Computer Science concept is The interconnected objects are represented by points termed as vertices, and the links that connect the vertices are called edges.

Formally, a graph is a pair of sets (V, E), where V is the set of vertices and Eis the set of edges, connecting the pairs of vertices. Discrete Mathematics For Computer Scientists And Mathematicians Solutions  Take a look at the following graph −

In the above graph,

V = {a, b, c, d, e}

E = {ab, ac, bd, cd, de}

Applications of Graph Theory

Graph theory has its applications in diverse fields of engineering −

 

 

Discrete Mathematics For Computer Scientists And Mathematicians 2nd Edition for Electrical Engineering − The concepts of graph theory is used extensively in designing circuit connections. Discrete Mathematics For Computer Scientists And Mathematicians Solutions The types or organization of connections are named as topologies. Some examples for topologies are star, bridge, series, and parallel topologies.

  • Computer Science − Graph theory is used for the study of algorithms. For example,
    • Kruskal’s Algorithm
    • Prim’s Algorithm
    • Dijkstra’s Algorithm
  • Discrete Mathematics For Computer Scientists And Mathematicians By Joe L Mott – Computer Network− The relationships among interconnected computers in the network follows the principles of graph theory.
  • Science − The molecular structure and chemical structure of a substance, the DNA structure of an organism, etc., are represented by graphs.
  • Discrete mathematics for computer scientists and mathematicians j.l. Molt – Linguistics− The parsing tree of a language and grammar of a language uses graphs.
  • General − Routes between the cities can be represented using graphs.

Discrete Mathematics For Computer Scientists And Mathematicians Joe L Mott Solution Manual:

 

 

MATHEMATICAL FOUNDATION FOR COMPUTER SCIENCE Syllabus:

UNIT-I

Mathematical Logic: Truth Tables, tautology, equivalence implication, Normal forms, Quantifiers, universal quantifiers, Statements and notations, Connectives, Well formed formulas.

UNIT-II

Predicates: Rules of inference, Consistency, proof of contradiction, Automatic Theorem Proving, Predicative logic, Free & Bound variables.

UNIT-III

Relations: Hasse diagram. Functions: Inverse Function Compositions of functions, recursive Functions, Lattice and its Properties, Properties of binary Relations, equivalence, transitive closure,compatibility and partial ordering relations, Lattices.

UNIT-IV

Algebraic structures: Semi groups and monads, groups sub groups’ homomorphism, Algebraic systems Examples and general properties, Isomorphism.

UNIT-V

Elementary Combinatorics: Binomial Multinomial theorems, the principles of Inclusion – Exclusion.Pigeon hole principles and its applications, Basis of counting, Combinations & Permutations, with repetitions, Constrained repetitions, Binomial Coefficients.

UNIT-VI

Recurrence Relation : Solving recurrence relation by substitution and Generating funds. Characteristics roots solution of In homogeneous Recurrence Relation, Generating Functions, Function of Sequences Calculating Coefficient of generating function, Recurrence relations,.

UNIT-VII

Graph Theory: Representation of Graph, DFS, BFS, Spanning Trees, planar Graphs

UNIT-VIII

Basic Concepts Isomorphism and Sub graphs, Graph Theory and Applications, Multi graphs and Euler circuits, Hamiltonian graphs, Chromatic Numbers

Discrete Mathematics for Computer Scientists And Mathematicians (English) 2nd Edition:

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