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The first part of this preface is for the student; the second for the instructor. But whoever you are, welcome to both parts. For the Student You have finished secondary school, and are about to begin at a university or technical college. You want to study computing. The course includes some mathematics { and that was not necessarily your favourite subject. But there is no escape: some finite mathematics is a required part of the first year curriculum. That is where this book comes in. Its purpose is to provide the basics { the essentials that you need to know to understand the mathematical language that is used in computer and information science. It does not contain all the mathematics that you will need to look at through the several years of your undergraduate career. There are other very good, massive volumes that do that. At some stage you will probably find it useful to get one and keep it on your shelf for reference. But experience has convinced this author that no matter how good the compendia are, beginning students tend to feel intimidated, lost, and unclear about what parts to focus on. This short book, on the other hand, offers just the basics which you need to know from the beginning, and on which you can build further when needed.
- Sales Rank: #1385250 in eBooks
- Published on: 2009-06-29
- Released on: 2009-06-29
- Format: Kindle eBook
Review
From the reviews: "The book covers the very basic concepts of sets, relations, functions, induction and recursion, combinatorics, probability, trees, propositional logic, and elementary concepts of predicate logic. The text is easy to read, and the concepts are presented in an understandable way using many examples. The book contains exercises with solutions, gives several further exercises, and hints for further selected reading. … the book is recommended for undergraduates as a very first introduction to the basic ideas of finite mathematics and logic." (D. Seese, ACM Computing Reviews, January, 2009)
From the Back Cover
University studies in computing require the ability to pass from a concrete problem to an abstract representation, reason with the abstract structure, and return with useful solutions to the specific situation. The tools for developing these skills are in part qualitative – concepts such as set, relation, function, and structures such as trees and well-founded orders. They are also in part quantitative – notably elementary combinatorics and finite probability. Recurring in all of these are instruments of proof, both purely logical ones (such as proof by contradiction) and mathematical (the various forms of induction). Features: • Explains the basic mathematical tools required by students as they set out in their studies of Computer or Information Science • Explores the interplay between qualitative thinking and calculation • Teaches the material as a language for thinking, as much as knowledge to be acquired • Uses an intuitive approach with a focus on examples for all general concepts • Provides numerous exercises, solutions and proofs to deepen and test the reader’s understanding • Includes highlight boxes that raise common queries and clear away confusions • Tandems with additional electronic resources including slides on author's website http://david.c.makinson.googlepages.com This easy-to-follow text allows readers to carry out their computing studies with a clear understanding of the basic finite mathematics and logic that they will need. Written explicitly for undergraduates, it requires only a minimal mathematical background and is ideal for self-study as well as classroom use.
About the Author
David Makinson is currently Visiting Professor at London School of Economics (LSE). Previous affiliations include the Department of Computer Science at King’s College London, UNESCO in Paris, and the American University of Beirut in Lebanon. He is well known for his early research in modal and deontic logics, and more recently in the logic of belief change (as one of the founders of the AGM paradigm) and nonmonotonic reasoning.
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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