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This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
- Sales Rank: #427483 in Books
- Published on: 2012-03-10
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .70" w x 6.10" l, 1.05 pounds
- Binding: Paperback
- 283 pages
Review
From the reviews of the second edition:
“This book is an excellent introductory course on mathematical language, knowledge and problem solving skills for undergraduate students who need to enter the world of computer and information sciences. … This easy-to-follow text allows readers to carry out their computing studies with a clear understanding of the basic finite mathematics and mathematical logics that they will need. … is ideal for self-study as well as classroom use. … the book will be of interest to any student who would like to understand the mathematical language.” (Valentina Dagien�, Zentralblatt MATH, Vol. 1239, 2012) From the Back Cover
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduate students need to enter the world of computer and information sciences. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. In ten chapters on these topics, the book guides the student through essential concepts and techniques.
The extensively revised second edition provides further clarification of matters that typically give rise to difficulty in the classroom and restructures the chapters on logic to emphasize the role of consequence relations and higher-level rules, as well as including more exercises and solutions.
Topics and features:
- Teaches finite mathematics as a language for thinking, as much as knowledge and skills to be acquired
- Uses an intuitive approach with a focus on examples for all general concepts
- Brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction
- Balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives
- Includes highlight boxes that raise common queries and clear away confusions
- Provides numerous exercises, with selected solutions, to test and deepen the reader’s understanding
This clearly-written text/reference is a must-read for first-year undergraduate students of computing. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
Dr. David Makinson is a Visiting Professor in the Department of Philosophy, Logic and Scientific Method at the London School of Economics, UK.
About the Author
Dr. David Makinson is a Visiting Professor in the Department of Philosophy, Logic and Scientific Method at the London School of Economics, UK.
Most helpful customer reviews
12 of 12 people found the following review helpful.
Great introductory maths textbook for CS students
By Pavlos Peppas
This is a great maths book for first year Computer Science undergraduates. It assembles in a single text most of the basic mathematical tools required in the study of Computer Science, ranging from sets and relations, to combinatorics and probabilities, to trees and logic.
Most importantly, the book is easy to follow even for someone who is not a great fan of mathematics; in fact, these are the people that will probably benefit most from this book. Concepts are presented very clearly, in a lively prose, with extra care in providing an intuitive grasp of formal notions, and attention in clarifying subtle details. This is further assisted by an on-going dialog spread throughout the book between two fictional characters, Alice and Mad Hatter (borrowed from Lewis Carroll's classical novel), discussing subtleties in the text. Carefully selected exercises in each chapter help to reinforce students understanding of the text.
Overall, a great introductory textbook. I strongly recommend it to anyone starting studies in Computer Science.
6 of 6 people found the following review helpful.
A very well written book.
By JacobeanEra
I was fortunate enough to come across this book, in my search for a Maths "refresher". It was a pleasure to read - I thoroughly enjoyed working through this book, and doing the exercises. Dr Makinson has done a great job - at providing a proactive student with a much needed gateway to some of the Maths needed for Computer Science. One aspect of the book that I found enjoyable was the Alice Boxes - where Alice asks a a question pertaining to some worked example/solution and the Hatter responds with the answer, this was novel and valueable. An additional bonus that I experienced whilst reading this book, was a greater appreciation of Proofs, and a desire to learn more about these Mathematical building blocks. The book is part of a series of texts on Undergraduate Topics on Computer Science, there are a more than a few appealing titles in this series, for the serious student.
1 of 1 people found the following review helpful.
Just what I wanted
By Michael R. Broschat
This excellent book is a serious look at aspects of mathematics you need for the world of computer science. You have to take it as seriously as it is written, to get what you want from it, but that's true for any new subject. Ideally, this is a textbook for classroom education, but if you're willingly to be your own teacher (as I am having to do), the exercises will perform that discipline for you.
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