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# ðŸ“™ Combinatorics (Wiley Series in Discrete Mathematics and Optimization) by Russell Merris â€” free epub

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There is no question that combinatorics is becoming more important in the practice of computer science. While some of the most important techniques are covered in discrete mathematics courses, there is not enough breadth or depth in the coverage. As a consequence, one of my goals this upcoming year is to convince my colleagues at Mount Mercy to add a course in combinatorics to the curriculum. As part of the proposal, I need to create a list of resources and a sample schedule of topics to be covered. To begin this process, I studied several combinatorics texts and decided that this one was the best.
There are six chapters, and the titles are:
ï‚· Chapter 1 The mathematics of choice
ï‚· Chapter 2 The combinatorics of finite functions
ï‚· Chapter 3 Polya's theory of enumeration
ï‚· Chapter 4 Generating functions
ï‚· Chapter 5 Enumeration in graphs
ï‚· Chapter 6 Codes and designs
The coverage is thorough and the sequence has been structured to make the last four chapters independent. This necessitated the duplication of some definitions and theorems, but it is a sensible strategy. There is more than enough material for a one-semester course, so this increases the options available to an instructor. I often skip chapters in a textbook in order to cover a topic I consider critical and find it very helpful when the author repeats key definitions and theorems.
The style is mathematically rigorous, the approach is that of a mathematics textbook with the sequence being: theorem, proof, example(s). A large number of exercises are given at the end of each section and solutions/hints to the odd numbered ones are included. It is a sound combinatorics text and the one that I would most likely use if I ever teach such a course.
Published in Journal of Recreational Mathematics, reprinted with permission.

## About book:

## About file:

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- Series:
**Wiley Series in Discrete Mathematics and Optimization** - Author:
**Russell Merris** - Year:
**2003** - Publisher:
**Wiley-Interscience** - Language:
**English** - ISBN:
**9780471262961,047126296X**

- File size:
**3 206 069** - Format:
**pdf**

Security code:

The book offers the readers a collection of high quality papers in selected topics of Discrete Mathematics, to celebrate the 60th birthday ofProfessor Jarik NeÅetril. Leading experts have contributed survey and researchpapers in the areas of Algebrai...

This book constitutes the refereed proceedings of the 4th International Conference on Discrete Mathematics and Theoretical Computer Science, DMTCS 2003, held in Dijon, France in July 2003.The 18 revised full papers presented together with 5 invited papers...

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Susanna Epp's DISCRETE MATHEMATICS, THIRD EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major th...

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents no...

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structure...

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This book is an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. Well-written and with plenty of examples, this textbook originated from courses on geometry and a...