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Title      : Math 1.4 Discrete Mathematics
Subject      : Mathematics
copyright © 2018   : Karnataka State Open University
Author      : KSOU
Publisher      : Karnataka State Open University
Chapters/Pages      : 12/110
Total Price      : Rs.      : 76
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Fundamentals of Logic Total views (735)  
In this chapter, we study the structure of simple and compound statement through various logical connectives and different type of combination of statements.
Pages: 11
Price: Rs 0   
Methods of Proofs, Quantified proposition, Rules of Inference, Normal Form Total views (733)  
Usually mathematical theorems are stated in the form of an implication p --> q or equivalence. Here P is called the Premises or hypothesis and q is called conclusion.
Pages: 10
Price: Rs 7.5   
Mathematical Induction and Examples Total views (744) going through this unit you should be able to learn the principle of Mathematical induction and establish some of the results involving a positive integer n.
Pages: 4
Price: Rs 3   
The Principle of Inclusion- Exclusion, Pigeon Hole Principle: Total views (740)  
This principle will assist us in establishing the formulae and also other applications of this principle will demonstrate its versatile nature in combinatorial mathematics.
Pages: 2
Price: Rs 1.5   
Generalized Permutations and Combinations Total views (736)  
After going through this unit you should able to define a recurrence relation with examples and setup recurrence relations also to write recurrences for divide and conquer algorithms.
Pages: 8
Price: Rs 6   
Binomial Coefficients and Combinatorial Identities Total views (734)  
The number C(n, r) are called Binomial Coefficients because they appear in the expansion of the binomial x + y raised to a power. This interplay between numbers that arise in counting problems. For example, in analyzing a problem involving counting we may derive some algebraic relation.
Pages: 6
Price: Rs 4.5   
Reccurrence Relation Total views (736)  
This unit mainly deals with the study of recurrence relation with examples to familiarize with the process of formulating recurrences.
Pages: 13
Price: Rs 9.75   
Difference Equations and Generating Functions Total views (738)  
After going through this unit we can define and construct generating functions for sequences arising in various types of combination problems. Also we use generating functions to find the number of integer solution to linear equations. We solve recurrence relation using generating functions.
Pages: 16
Price: Rs 12   
Types of Relations and Representing Relations Using Matrices and Digraphs Total views (739)  
This section deals with the study of concept of binary relation and give you several geometric, computer and algebraic method of representations. Relationship between number, people, sets and any other entities can be formulated in the idea of the binary relation. In this section you will also learn the different properties that a binary relation can posess.
Pages: 11
Price: Rs 8.25   
Matrices of Relation, Transitive Closure and Warshall's Algorithm Total views (740)  
Through this unit we discuss about matrix digraphs relation along with transitive closure. Also of interest in how the relation matrix is used in the study of Graph theory.
Pages: 15
Price: Rs 11.25   
Partial Ordering and Totally Ordered Set Total views (738)  
We shall emphasize the study of a relation on a set A. various properties of relations are developed along with ways to represent finite relation.
Pages: 8
Price: Rs 6   
Lattices Total views (741)  
In this section we learn more advanced feature on the relation like partial ordered sets and Lattices. These structures are useful in set theory, algebra, sorting and searching.
Pages: 6
Price: Rs 4.5   

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