**by Oscar Levin**

DescriptionTable of ContentsDetailsReport an issue ### Book Description

Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. Since Spring 2013, the book has been used as the primary textbook or a supplemental resource at more than 75 colleges and universities around the world (see the partial adoptions list). The text is endorsed by the American Institute of Mathematics' Open Textbook Initiative.

This 3rd edition brings many improvements, including nearly 100 new exercises, a new section on trees in the graph theory chapter, and improved exposition throughout. Previous editions will continue to be available indefinitely. A few times a year, the text is updated with a new "printing" to correct errors. See the errata list for more information. ### Table of Contents

### Book Details

### Related Books

This 3rd edition brings many improvements, including nearly 100 new exercises, a new section on trees in the graph theory chapter, and improved exposition throughout. Previous editions will continue to be available indefinitely. A few times a year, the text is updated with a new "printing" to correct errors. See the errata list for more information.

This open book is licensed under a Creative Commons License (CC BY-SA). You can download Discrete Mathematics ebook for free in PDF format (2.3 MB).

Chapter 0

Introduction and Preliminaries

Chapter 1

Counting

Chapter 2

Sequences

Chapter 3

Symbolic Logic and Proofs

Chapter 4

Graph Theory

Chapter 5

Additional Topics

Title

Discrete Mathematics

Subject

Science and Mathematics

Publisher

Self-publishing

Published

2019

Pages

412

Edition

3

Language

English

ISBN13 Digital

9781792901690

ISBN10 Digital

1792901690

PDF Size

2.3 MB

License

This free book focuses on the interplay between random walks on planar maps and Koebe's circle packing theorem. Further topics covered include electric networks, the Heâ€“Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks o...

Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces.
Applied D...

An introduction to the engineering principles of embedded systems, with a focus on modeling, design, and analysis of cyber-physical systems.
The most visible use of computers and software is processing information for human consumption. The vast majority of computers in use, however, are much less visible. They run the engine, brakes, seatbelts,...

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer ...

This book constitutes the proceedings of the 15th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2012, held as part of the joint European Conference on Theory and Practice of Software, ETAPS 2012, which took place in Tallinn, Estonia, in March/April 2012.
The 29 papers presented in this book toget...

This book presents theoretical framework and sample applications of variant construction. The first part includes the components variant logic, variant measurements, and variant maps, while the second part covers sample applications such as variation with functions, variant stream ciphers, quantum interference, classical/quantum random sequences, w...