Discrete Structures for Computer Science: Counting, Recursion, and Probability

This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students. It covers mathematical reasoning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability.

**Publication date**: 20 Apr 2016

**ISBN-10**:
n/a

**ISBN-13**:
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**Paperback**:
284 pages

**Views**: 4,443

**Type**: Textbook

**Publisher**:
n/a

**License**:
Creative Commons Attribution-ShareAlike 4.0 International

**Post time**: 28 Apr 2016 11:00:00

Discrete Structures for Computer Science: Counting, Recursion, and Probability

This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students. It covers mathematical reasoning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability.

You are free to:

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Adapt — remix, transform, and build upon the material for any purpose, even commercially.

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Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

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From the Preface:

Michiel Smid wrote:This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students, which I have been teaching at Carleton University since the fall term of 2013. The material is offered as the second-year course COMP 2804 (Discrete Structures II). Students are assumed to have taken COMP 1805 (Discrete Structures I), which covers mathematical reasoning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability.

During a 12-week term with three hours of classes per week, I cover most of the material in this book, except for Chapter 2, which has been included so that students can review the material from COMP 1805.

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About The Author(s)

Michiel Smid is a Professor in the School of Computer Science at Carleton University. His research interests include Algorithms, Applications of Computational Geometry in Manufacturing, Computational Geometry, Data Structures, Discrete Mathematics, Geometric Networks, Graph Theory, and Theory of Computing.

Book Categories

Computer Science
15
Introduction to Computer Science
32
Introduction to Computer Programming
52
Algorithms and Data Structures
24
Artificial Intelligence
24
Computer Vision
29
Machine Learning
6
Neural Networks
22
Game Development and Multimedia
25
Data Communication and Networks
5
Coding Theory
16
Computer Security
8
Information Security
34
Cryptography
3
Information Theory
17
Computer Organization and Architecture
22
Operating Systems
1
Image Processing
10
Parallel Computing
4
Concurrent Programming
22
Relational Database
3
Document-oriented Database
13
Data Mining
16
Big Data
17
Data Science
23
Digital Libraries
22
Compiler Design and Construction
26
Functional Programming
11
Logic Programming
26
Object Oriented Programming
21
Formal Methods
69
Software Engineering
3
Agile Software Development
7
Information Systems
5
Geographic Information System (GIS)

Mathematics
67
Mathematics
14
Algebra
1
Abstract Algebra
27
Linear Algebra
3
Number Theory
8
Numerical Methods
2
Precalculus
10
Calculus
3
Differential Equations
5
Category Theory
10
Proofs
19
Discrete Mathematics
24
Theory of Computation
14
Graph Theory
2
Real Analysis
1
Complex Analysis
14
Probability
45
Statistics
7
Game Theory
5
Queueing Theory
13
Operations Research
16
Computer Aided Mathematics

Supporting Fields
21
Web Design and Development
1
Mobile App Design and Development
28
System Administration
2
Cloud Computing
10
Electric Circuits
6
Embedded System
26
Signal Processing
4
Network Science
3
Project Management

Operating System
Programming/Scripting
6
Ada
13
Assembly
34
C / C++
8
Common Lisp
2
Forth
35
Java
13
JavaScript
1
Lua
15
Microsoft .NET
1
Rexx
12
Perl
6
PHP
68
Python
12
R
1
Rebol
13
Ruby
2
Scheme
3
Tcl/Tk

Miscellaneous