**Discrete Mathematical structure Notes VSSUT – DMS Notes VSSUT of Total Complete Notes**

Please find the download links of Discrete Mathematical structure Notes VSSUT | DMS Notes VSSUT are listed below:

**Link: Complete Notes**

**Module – 1**

**Logic: Propositional equivalence**

predicates and quantifiers, Methods of proofs,

proof strategy, sequences and summation, mathematical induction,

recursive definitions and structural induction, program correctness.

Counting: The basics of counting, the pigeonhole principle,

**Link: Module – 1**

**Module – 2**

**Relations: Relations and their properties**

n-array relations and their applications,

representing relations, closure of relations, equivalence of relations, partial orderings.

Graph theory: Introduction to graphs, graph terminology,

representing graphs and graph isomorphism, connectivity, Euler and Hamilton paths,

**Link: Module – 2**

**Module – 3**

**Group theory: Groups, subgroups**

generators and evaluation of powers, cosets and Lagrange’s theorem,

permutation groups and Burnside’s theorem, isomorphism,

automorphisms, homomorphism and normal subgroups, rings, integral domains and fields.

**Link: Module – 3**

**Module – 4**

**Lattice theory: Lattices and algebras systems**

principles of duality,

basic properties of algebraic systems defined by lattices, distributive and complimented lattices,

Boolean lattices and Boolean algebras, uniqueness of finite Boolean expressions,

prepositional calculus. Coding theory: Coding of binary information and error detection,

**Link: Module – 4**

**Text Books:**

1). K.H. Rosen: Discrete Mathematics and its application, 5th edition,

Tata McGraw Hill.Chapter 1(1.1-1.5), Chapter 3(3.1-3.4,3.6), Chapter 4(4.1-4.3,4.5),

Chapter 6(6.1,6.2,6.4-6.6) Chapter 7(7.1-7.6), Chapter 8(8.1-8.5,8.7,8.8)

2. C. L. Liu: Elements of Discrete Mathematics, 2nd edition, TMH 2000.

Chapter 11(11.1 – 11.10 except 11.7), Chapter 12(12.1 – 12.8)

3.B.Kalman: Discrete Mathematical Structure, 3rd edition, Chapter 11(11.1,11.2)

**References: **

1. “Discrete Mathematical Structures”: Tremblay and Manohar, Tata McGraw Hill

2. “Discrete Mathematics”: 1st edition by Maggard Thomson

3. “Discrete Mathematics”: Semyour Lipschutz, Varsha Patil IInd Edition Schaum’s Series, TMH

4. “Discrete M a t h ema ti c a l Structures”: Kolman, Busby and Ross, Prentice Hall India, Edition 3

5. “Discrete Mathematics and its application” – Mott Kendle

6. “Discrete Mathematical Structure” : G. Shankar Rao, New Age Publisher.

7. “Fundamental Approach to Discrete Mathematics” Acharjaya D. P. S