### From Publishers Weekly

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### Review

this is a serious-minded and interesting book. . . . The first part of the book, which I enjoyed immensely, is a history of the struggles of mathematicians to cope with the idea of negative numbers. It is enormously encouraging . . . intriguing and provocative. . . -- The Mathematical Intelligencer

The author has committed himself to having this writing and this subject matter accessible to the general reader, and he has succeeded to a remarkable degree . . . For the teacher currently involved with these concepts, this innovative work should provide useful background and prove to be an outstanding read. -- The Mathematics Teacher

a book that is at once scholarly and readable . . . anyone with an interest in intellectual history would benefit . . . Martínez's book has the potential to cause the generation of many golden fibers that can be used in weaving the fabric of mathematics. -- Books & Culture

It is interesting and to a certain extent inspiring to look at this fundamental transformation of mathematics with the eyes of algebra and not as usual from the point of view of non-Euclidean geometry . . . whoever follows author will be inspired and forced to think about problems which he never put himself before. -- Zentralblatt MATH

"Alberto A. Martínez . . . shows that the concept of negative numbers has perplexed not just young students but also quite a few notable mathematicians. . . . The rule that minus times minus makes plus is not in fact grounded in some deep and immutable law of nature. Martínez shows that it's possible to construct a fully consistent system of arithmetic in which minus times minus makes minus. It's a wonderful vindication for the obstinate smart-aleck kid in the back of the class."

**--Greg Ross,**

*American Scientist*"Alberto Martinez . . . has written an entire book about the fact that the product of two negative numbers is considered positive. He begins by reminding his readers that it need not be so. . . . The book is written in a relaxed, conversational manner. . . . It can be recommended to anyone with an interest in the way algebra was developed behind the scenes, at a time when calculus and analytic geometry were the main focus of mathematical interest."

**--James Case,**

*SIAM News*"[

*Negative Math*] is very readable and the style is entertaining. Much is done through examples rather than formal proofs. The writer avoids formal mathematical logic and the more esoteric abstract algebras such as group theory."

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*Mathematics Magazine*