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**About this book :- **
**Discrete Mathematics & Its Applications (5E) Instructor Resource Guide ** written by
** Kenneth H. Rosen **

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject.

True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed.

The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

**Book Detail :- **
** Title: ** Discrete Mathematics & Its Applications
** Edition: ** 5th
** Author(s): ** Kenneth H. Rosen
** Publisher: ** McGraw-Hill
** Series: ** McGraw-Hill international editions., Mathematics series
** Year: ** 2003
** Pages: ** 534
** Type: ** PDF
** Language: ** English
** ISBN: ** 0072474807,9780072474800
** Country: ** US

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**About Author :- **

Author ** Kenneth H. Rosen ** is an author and mathematician. His interests include discrete mathematics and number theory. He is the author of several books including Discrete Mathematics and Its Applications, McGraw-Hill. He holds degrees in mathematics from the University of Michigan Ann Arbor and Massachusetts Institute of Technology. He has published several articles in the areas of number theory and mathematical modeling. He is currently a member of the technical staff at AT&T Labs in Middletown, New Jersey and chief editor of the Handbook of Discrete and Combinatorial Mathematics, published by CRC Press. At AT&T Labs, some of his contributions are in the areas of multimedia, including video communications, speech recognition, and image networking.Rosen received a B.S. in Mathematics from the University of Michigan, Ann Arbor (1972), and his Ph.D. in Mathematics from M.I.T. (1976)

The contents of this page are sourced from Wikipedia article. The contents are available under the CC BY-SA 4.0 license.

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**Book Contents :- **
**Discrete Mathematics & Its Applications (5E) Instructor Resource Guide** written by
** Kenneth H. Rosen **
cover the following topics.

1. The Foundations: Logic and Proofs, Sets and, Functions

2. The Foundations: Algorithms, the Integers and Matrices

3. Mathematical Reasoning Induction, and Recursion

4. Counting

5. Discrete Probability

6. Advanced Counting Techniques

7. Relations

9. Graphs

10. Boolean Algebra

11. Modeling Computation

Appendixes 1 Exponential and Logarithmic Functions

Appendixes 2 Pseudocode.

Suggested Readings

Answers to Odd-Numbered Exercises S

Photo Credits

Index of Biographies

Index

**Note:-**

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- Boolean Algebra
- Graph Theory
- Linear Algebra
- Number Theory
- Set Theory
- Mathematical Induction
- Discrete Geometry
- Discrete Probability

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis