Unit
I Sets and Propositions
| Topic | Resource |
| Sets, Combination of sets, Finite and Infinite sets, Un-countably infinite sets, Principle of inclusion and exclusion, multisets. |
C.
L. Liu and D. P. Mohapatra,***
Kenneth
H. Rosen,
J.P.Trembly
and R.Manohar
E. Goodaire
and M. Parmenter, |
| Propositions, Conditional Propositions, Logical Connectivity, Propositional calculus, Universal and Existential Quantifiers |
R.
Johnsonbaugh
Kenneth
H. Rosen
B. Kolman, R.
Busby and S. Ross, J.P.Trembly and R.Manohar |
| Normal forms |
C.
L. Liu and D. P. Mohapatra
J.P.Trembly
and R.Manohar |
| Methods of proofs |
R.
Johnsonbaugh
Kenneth H.
Rosen |
| Mathematical Induction. |
C.
L. Liu and D. P. Mohapatra
R.
Johnsonbaugh
Kenneth H.
Rosen |
Text
Books
1.
C. L. Liu and D. P. Mohapatra, “Elements of Discrete Mathematics”,
SiE Edition, TataMcGraw-Hill, 2008,
ISBN
10:0-07-066913-9
2.
R. Johnsonbaugh, “Discrete Mathematics”, 5th Edition, Pearson
Education, 2001
ISBN
81 – 7808 – 279 - 9 (Recommended for Unit I and Unit II)
Reference
Books
1.
N. Biggs, “Discrete Mathematics”, 3rd Edition, Oxford University
Press, ISBN 0 –19 –850717 - 8
2.
Kenneth H. Rosen, “Discrete Mathematics and its Applications”,
6th edition, McGraw-Hill, 2007.
ISBN
978-0-07-288008-3
3.
E. Goodaire and M. Parmenter, “Discrete Mathematics with GraphTheory”, 2nd edition, Pearson Education,
2003
ISBN 81 – 7808 – 827 – 4
4.
Semyour Lipschutz & Marc Lipson, “ Discrete Mathematics”,
McGraw-Hill, 3rd Special Indian Edition,
ISBN-13
: 978-0-07-060174-1
5.
B. Kolman, R. Busby and S. Ross, “Discrete MathematicalStructures”, 4th Edition, Pearson Education,
2002,
ISBN 81-7808-556-9
6.
N. Deo, “Graph Theory with application to Engineering and Computer
Science”, Prentice Hall of India,
1990,
0 – 87692 – 145 – 4
7.
J.P.Trembly and R.Manohar,”Discrete Mathematical structures withapplication to computer science”, McGraw-Hill, ISBN 0-07-100322-3
8.
G.Shankar Rao,”Discrete Mathematical Structures”, new age
International Publishers, ISBN 81-224-1424-9
***Note: Reference in red is important reference
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