# Sets, Logic and Maths for Computing

Textbook

Part of the Undergraduate Topics in Computer Science book series (UTICS)

1. Front Matter
Pages i-xviii
2. ### Sets

1. Front Matter
Pages 1-1
2. David Makinson
Pages 3-35
3. David Makinson
Pages 37-81
4. David Makinson
Pages 83-113
5. David Makinson
Pages 115-156
3. ### Maths

1. Front Matter
Pages 157-157
2. David Makinson
Pages 159-184
3. David Makinson
Pages 185-221
4. David Makinson
Pages 223-248
4. ### Logic

1. Front Matter
Pages 249-249
2. David Makinson
Pages 251-289
3. David Makinson
Pages 291-325
4. David Makinson
Pages 327-362
5. David Makinson
Pages 363-388
5. Back Matter
Pages 389-398

### Introduction

This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style.

The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ‘abuses of language’ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises.

Topics and features:

• Presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation
• Discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction
• Introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees
• Examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic
• Addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter
• Provides an extensive set of solved exercises throughout the text

This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.

Dr. David Makinson has taught courses related to the material of this book at the American University of Beirut, King’s College London and, in recent years, the London School of Economics, UK.

### Keywords

Computer Science Computing Discrete Mathematics Information Science Logic

#### Authors and affiliations

1. 1.Department of Philosophy, Logic and Scientific MethodLondon School of EconomicsLondonUK

Dr. David Makinson has taught courses related to the material of this book at the American University of Beirut, King’s College London and, in recent years, the London School of Economics, UK.

### Bibliographic information

• Book Title Sets, Logic and Maths for Computing
• Authors David Makinson
• Series Title Undergraduate Topics in Computer Science
• Series Abbreviated Title Undergraduate Topics Computer Sci.
• DOI https://doi.org/10.1007/978-3-030-42218-9
• Copyright Information Springer Nature Switzerland AG 2020
• Publisher Name Springer, Cham
• eBook Packages Computer Science Computer Science (R0)
• Softcover ISBN 978-3-030-42217-2
• eBook ISBN 978-3-030-42218-9
• Series ISSN 1863-7310
• Series E-ISSN 2197-1781
• Edition Number 3
• Number of Pages XVIII, 398
• Number of Illustrations 36 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site