The author supports a spiral method of learning by introducing the basics of a given topic and then revisiting the topic whenever new skills or knowledge about the topic are needed to solve problems. This approach allows students to master key material and maximizes their problem-solving ability.

Key Features : Deliverable Countries : This product ships to About the Book : Written for the prospective computer scientist, computer engineer, or applied mathematician, Discrete Structures, Logic, and Computability, Third Edition provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures highlighted in the reports put forth by the IEEE/ACM Joint Task Force on Computing Curricula for both computer science and computer engineering programs.

The author supports a spiral method of learning by introducing the basics of a given topic and then revisiting the topic whenever new skills or knowledge about the topic are needed to solve problems. This approach allows students to master key material and maximizes their problem-solving ability.

Key Features : Deliverable Countries : This product ships to About the Book : Written for the prospective computer scientist, computer engineer, or applied mathematician, Discrete Structures, Logic, and Computability, Third Edition provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures highlighted in the reports put forth by the IEEE/ACM Joint Task Force on Computing Curricula for both computer science and computer engineering programs.

The author supports a spiral method of learning by introducing the basics of a given topic and then revisiting the topic whenever new skills or knowledge about the topic are needed to solve problems. This approach allows students to master key material and maximizes their problem-solving ability.

Key Features : Deliverable Countries : This product ships to About the Book : Written for the prospective computer scientist, computer engineer, or applied mathematician, Discrete Structures, Logic, and Computability, Third Edition provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures highlighted in the reports put forth by the IEEE/ACM Joint Task Force on Computing Curricula for both computer science and computer engineering programs.

The author supports a spiral method of learning by introducing the basics of a given topic and then revisiting the topic whenever new skills or knowledge about the topic are needed to solve problems. This approach allows students to master key material and maximizes their problem-solving ability.

Key Features : Deliverable Countries : This product ships to (less)

Vidyabhushana frontispiece author's preface. Introduction.

Foreword by Sir Asutosh Mukerjee. I.

The Ancient school of Indian logic: i. Anviksiki--the science of inquiry (650 B.

C.--100 A.

D.): 1.

The growth et anviksiki into an art of debate. 2.

The teachers of Anviksiki (Philosophy and logic). 3.

The doctrines of anviksiki. 4.

Reception accorded to anviksiki. ii.

Nyaya-sastra--the science of true reasoning: 1. The growth of Nyayasastra.

2. Contents of the Nyaya-sutra.

3. Commentaries the am Nyaya-sutra.

4. The Nyaya recognized as a branch of orthodox learning.

II. The mediaeval school of Indian logic-called Pramanasastra, the science of right knowledge: i.

Jaina Logic: 1. Topics of logic mentioned in the Jaina canons.

2. Early Jaina writers on logic.

3. Jaina writers on systematic logic.

4. Continuity of Jaina logic.

ii. The Buddhist logic: 1.

Topics of logic mentioned in the old Buddhist literature. 2.

Early Buddhist writers on logic (less)

2. Relations.

3. Functions.

4. Propositional Logic.

5. Techniques of Proof.

6. Poset and Lattices.

7. Groups.

8. Semigroup and Monoid.

9. Boolean Algebra.

10. Combinatorics.

11. Discrete Numeric Functions, Generating Functions and Recurrence Relations.

12. Basic Concepts of Graph Theory.

13. Trees.

14. Planar Graphs and Colouring Index.

Advance discrete structure is a compulsory paper in most of computing programs (M.Tech, MCA, M.

Sc, B.Tech, BCA, B.

Sc etc.).

This book has been written to fulfill the requirements of graduate and post-graduate students pursuing courses in mathematics as well as in computer engineering. This book covers the topics from Sets, Relations, Functions, Propositional logic, Techniques of proof, Lattice, Algebraic structures, Boolean algebra Combinatorics, Discrete numeric function, generating function and recurrence relation and Graph theory.

In this book each chapter starts with a clear statement of pertinent definitions, principles and theorems with illustrative and descriptive material. A large number of solved (less)

I. 1.

Sets. 2.

Relations and functions. 3.

Techniques of counting. 4.

Partial ordering relations. 5.

Discrete probability. II.

6. Recurrence relations.

7. Logic.

III. 8.

Lattices. 9.

Boolean algebra. IV.

10. Graph Theory.

11. Trees.

V. 12.

Algebraic system. 13.

Finite state machine. Index.

"This book explains the basic principles of discrete Mathematics and structures in a clear systematic manner. A contemporary approach is adopted throughout the book.

The book is divided in five sections. First section discusses set theory, relations and functions, probability and counting techniques; second section is about recurrence relations and prepositional logic; third section is related to Lattices and Boolean algebra; fourth section includes study of graph and trees and the last section is about algebraic structures and finite state machines.

Suitable examples, illustrations and exercises are included throughout the book to facilitate an easier understanding of the subject. The book would serve as a comprehensive text for (less)