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Product Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math"--groups, sets, subsets, topology, Boolean algebra, and more. By the time readers finish this book, they shall have a much clearer grasp of how modern mathematicians look at figures, function, and formulas, leading them to a better comprehension of the nature of the mathematics itself.
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Most Helpful Customer Reviews
5 of 5 people found the following review helpful
Format:Paperback|Amazon Verified Purchase
This book is a 'Dover' paperback which, if your have not bought from this publisher before, they tend to re-publish math books previously sold from around the world. Their budget-priced books tend to be in b&w and graphs in grayscale.
First Impressions
What stands out the most is the VERY attractive, organised exploration of linked math topics from the earliest chapters and throughout the book. Its clear the author encourages some theoretical issues before 'labouring' with calculations.
For example, i am attracted at the quick and early linking between 'Sets', 'Functions', 'Group Theory' and (MOD), and 'axiom' mathematics.The reason being if you are up to understanding these connections with the first three areas, then the way the axiom stuff is handled gives a VERY clear way in answering many math problems that are a model for throughout your future studies! The other linear algebraic stuff is (i.m.h.o) less attractive - compaired to other authors - but still well-worth the effort to digest it.
Harder topics
To me, the areas that seemed rather difficult and laboured being the 'Topology' aress. But i can say that the many graphs give a 'gut-feeling' of the topic. The graphs did help and i read the whole book over a long week-end.
Summary
This book has a very pleasent and stimulating style in its explanations, that will be of use for whatever math studies you may continue to follow.
First Impressions
What stands out the most is the VERY attractive, organised exploration of linked math topics from the earliest chapters and throughout the book. Its clear the author encourages some theoretical issues before 'labouring' with calculations.
For example, i am attracted at the quick and early linking between 'Sets', 'Functions', 'Group Theory' and (MOD), and 'axiom' mathematics.The reason being if you are up to understanding these connections with the first three areas, then the way the axiom stuff is handled gives a VERY clear way in answering many math problems that are a model for throughout your future studies! The other linear algebraic stuff is (i.m.h.o) less attractive - compaired to other authors - but still well-worth the effort to digest it.
Harder topics
To me, the areas that seemed rather difficult and laboured being the 'Topology' aress. But i can say that the many graphs give a 'gut-feeling' of the topic. The graphs did help and i read the whole book over a long week-end.
Summary
This book has a very pleasent and stimulating style in its explanations, that will be of use for whatever math studies you may continue to follow.
4 of 4 people found the following review helpful
Format:Paperback
I read the first edition of this book some thirty years ago and can continue to recommend it today as an appetiser to anyone contemplating mathematical studies both at A-level and beyond. In addition, it remains a first rate exposition of the nature of present day mathematics for the enquiring non-specialist reader.
4 of 9 people found the following review helpful
Format:Paperback
This book claims to require only basic algebra and a smattering of trigonometry. I've completed first year university maths and I can quite honestly say, what rubbish. Often you can work out his reasoning, after a good ten minutes thinking through what he could possibly mean, but just as often it is quite unclear how he gets from one statement to the other. Like many of the so-called "popular" mathematicians, Prof Stewart relies on reviews by other mathematicians who think he has a clever way of expressing familiar concepts. If you are not very fluent indeed in algebra and trigonometry, you will not understand much of what this book says. I think it is quite funny thinking of a class load of young mothers keen to help their kids at school sitting through any one of these lectures. No doubt they would not be there if they did not have some sort of feel for maths, but I cannot see ordinary people getting much out of this.
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