This is a serious book. Stewart explains clearly and concisely for a non-mathematician some of the central ideas of mathematics. Perfect for those willing to put in some thought. I'd also recommend it to anyone in first year pure math. And especially to anyone who teaches math.

A very slender book, but it sets out the basic ideas of algebraic topology and HOW THEY RELATE TO EACH OTHER. A roadmap to what all this simplex stuff is all about.

For sophisticated mathematical readers only. Perfect adjunct to any first course.

(And a "lemniscate" is a figure 8).

The problems range from easy to incredibly hard. They are chosen to illustrate points or techniques. Many also have a touch of humour. You will learn a lot from this book. Few theorems are mentioned! Fun, cheap, instructive, amusing.

This is Boole of boolean algebra. The book, now 150 years old, is a long winded philosophical curiosity. Do NOT expect to learn boolean algebra!

This book introduces group theory and all the math needed to prove one of the central results of Galois theory, the insolubility of the quintic. This includes prioving many ruler&compass constructions in geometry are impossible.

That sounds heavy but the remarkable thing is anyone who has taken grade 12 math should be able to follow it (with a bit of work) and anyone who has done first year algebra or calculus should be able to follow it all.

Very discursive, with a lot of sentences not just symbols to explain the ideas, and a lot of examples. Nice physical layout too.

A hard core math text written for non-mathematicians, and it succeeds. I also highly recommend it to anyone encountering groups or Galois theory for the first time.

An excellent book blending anecdote and evidence into a strong argument. An attempt by a feminist to tinject responsibility and morality into a movement that has often turned its back on both.

A solid sophisticated 3rd or 4th year text for pure math students. Stuff every math grad must know well organized.

This covers the basics of algebraic topology with simplexes, covering in essence the fundamental ideas behind of the work of Poincare, Brouwer, and Alexander. He proves the Jordan curve theorem, classifies all compact surfaces, and the relationship with vector fields. The homology groups are defined and used.

There are excellent examples, clear writing, and humour. An outstanding introduction.

One nice feature is that he bases his notions of continuity on "nearness" not epsilon-delta.

This book is based on an intersting idea -- a direct path to the duality theorem. But it has so many flaws. Definitions are often loose, there are no significant examples, proofs are often unclear. Some proofs used symbols never explicitly defined.

There is also a complete lack of motivation.

The worst Dover math book I have seen.

This book examines the consequences of numerous social programs -- often overlapping ones -- which have had the side effect of corroding responsibility and and social and family cohesion. Very impressive research and interesting anecdotes.

The only problem is that it is a series of articles. Thus it is sometimes repetitive and she misses the opportunity for comparing these stories side by side.