# Finite And Discrete Math Problem Solver (Problem Solvers Solution Guides)

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### Finite and Discrete Math Problem Solver (Problem Solvers Solution Guides)

h Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies.

Here in this highly useful reference is the finest overview of finite and discrete math currently available, with hundreds of finite and discrete math problems that cover everything from graph theory and statistics to probability and Boolean algebra. Each problem is clearly solved with step-by-step detailed solutions.**DETAILS**

- The PROBLEM SOLVERS are unique - the ultimate in study guides.

- They are ideal for helping students cope with the toughest subjects.

- They greatly simplify study and learning tasks.

- They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding.

- They cover material ranging from the elementary to the advanced in each subject.

- They work exceptionally well with any text in its field.

- PROBLEM SOLVERS are available in 41 subjects.

- Each PROBLEM SOLVER is prepared by supremely knowledgeable experts.

- Most are over 1000 pages.

- PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly.**TABLE OF CONTENTS**

Introduction**Chapter 1: Logic**

Statements, Negations, Conjunctions, and Disjunctions

Truth Table and Proposition Calculus

Conditional and Biconditional Statements

Mathematical Induction**Chapter 2: Set Theory**

Sets and Subsets

Set Operations

Venn Diagram

Cartesian Product

Applications**Chapter 3: Relations**

Relations and Graphs

Inverse Relations and Composition of Relations

Properties of Relations

Equivalence Relations**Chapter 4: Functions**

Functions and Graphs

Surjective, Injective, and Bijective Functions**Chapter 5: Vectors and Matrices**

Vectors

Matrix Arithmetic

The Inverse and Rank of a Matrix

Determinants

Matrices and Systems of Equations, Cramer's Rule

Special Kinds of Matrices**Chapter 6: Graph Theory**

Graphs and Directed Graphs

Matrices and Graphs

Isomorphic and Homeomorphic Graphs

Planar Graphs and Colorations

Trees

Shortest Path(s)

Maximum Flow**Chapter 7: Counting and Binomial Theorem**

Factorial Notation

Counting Principles

Permutations

Combinations

The Binomial Theorem**Chapter 8: Probability**

Probability

Conditional Probability and Bayes' Theorem**Chapter 9: Statistics**

Descriptive Statistics

Probability Distributions

The Binomial and Joint Distributions

Functions of Random Variables

Expected Value

Moment Generating Function

Special Discrete Distributions

Normal Distributions

Special Continuous Distributions

Sampling Theory

Confidence Intervals

Point Estimation

Hypothesis Testing

Regression and Correlation Analysis

Non-Parametric Methods

Chi-Square and Contingency Tables

Miscellaneous Applications**Chapter 10: Boolean Algebra**

Boolean Algebra and Boolean Functions

Minimization

Switching Circuits**Chapter 11: Linear Programming and the Theory of Games**

Systems of Linear Inequalities

Geometric Solutions and Dual of Linear Programming Problems

The Simplex Method

Linear Programming - Advanced Methods

Integer Programming

The Theory of Games**Index****WHAT THIS BOOK IS FOR**

Students have generally found finite and discrete math difficult subjects to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of finite and discrete math continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of finite and discrete math terms also contribute to the difficulties of mastering the subject.

In a study of finite and discrete math, REA found the following basic reasons underlying the inherent difficulties of finite and discrete math:

No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems.

### Specifications of Finite and Discrete Math Problem Solver (Problem Solvers Solution Guides)

GENERAL | |
---|---|

Author | The Editors of REA, Lutfi A. Lutfiyya |

Binding | Paperback |

Language | English |

Edition | Revised |

ISBN-10 | 0878915591 |

ISBN-13 | 9780878915590 |

Publisher | Research & Education Association |

Number Of Pages | 1040 |

Publication Date | 1985-01-25 |

DIMENSIONS | |
---|---|

Height | 1.74 inch. |

Length | 9.98 inch. |

Width | 6.75 inch. |

Weight | 2.98 pounds. |

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