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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)
Product Description
This book equips the student with essential intellectual tools that are needed from the very beginning of university studies in computing. These consist of abilities and skills - to pass from a concrete problem to an abstract representation, reason with the abstract structure coherently and usefully, and return with booty to the specific situation. The most basic and useful concepts needed come from the worlds of sets (with also their employment as relations and functions), structures (notably trees and graphs), and combinatorics (alias principles of counting, with their application in the world of probability). Recurring in all these are two kinds of instrument of proof – logical (notably inference by suppositions, reductio ad absurdum, and proof by cases), and mathematical (notably induction on the positive integers and on well-founded structures). From this book the student can assimilate the basics of these worlds and set out on the paths of computing with understanding and a platform for further study as needed.
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Most Helpful Customer Reviews
1 of 1 people found the following review helpful
Format:Paperback
This book is focused on the students of computer and information science. But is also very helpful for students of other subjects, especially philosophy.
It offers the basics in
- set theory
- relations, functions
- proabability
- permutations and combinations
- propositional and quantificational logic.
There are a lot of exercises thrown in, partially with solutions. So it is very appropriate for self-study.
I benefitted most from the chapters about relations & functions and permutations & combinations.
For every subject there are other textbooks, more comprehensive and more substantial. But here you have one book for five or more subjects in one sweep. After every chapter the author recommends annotated literature; very helpful to go more thoroughly in some of the subjects.
For most students "Sets, Logic and Maths for Computing" is a basic choice. Highly recommended.
It offers the basics in
- set theory
- relations, functions
- proabability
- permutations and combinations
- propositional and quantificational logic.
There are a lot of exercises thrown in, partially with solutions. So it is very appropriate for self-study.
I benefitted most from the chapters about relations & functions and permutations & combinations.
For every subject there are other textbooks, more comprehensive and more substantial. But here you have one book for five or more subjects in one sweep. After every chapter the author recommends annotated literature; very helpful to go more thoroughly in some of the subjects.
For most students "Sets, Logic and Maths for Computing" is a basic choice. Highly recommended.
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
2 reviews
8 of 8 people found the following review helpful
Great introductory maths textbook for CS students
3 Sep 2009
Format:Paperback
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.
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.
1 of 1 people found the following review helpful
A very well written book.
4 April 2011
Format:Perfect Paperback
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.
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