Sheaf Theory through Examples: A User's Guide
C**A
This book delivers the goods
I've always been a sucker for math books that take you on a long, hard trip but end up at the summit of a mountain. "Sheaf Theory through Examples" is one of the best examples of this genre I've seen in a long time. I'm a philosopher working on quantum foundations, and I need a book that will make me literate in sheaf theory. This is asking a lot, since you also have to understand Category Theory and Topology to even make sense of the definitions. But this weighty tome (2 lbs!) should get me there. It is a very thorough and accessible introduction to Categories, and also introduces enough Topology to get to the "official" definition of sheaves.What really makes the book exceptional is two things: the examples really are front and center here, and there are lots of them from a wide variety of disciplines. Also, Rosiak very effectively uses the spiral method. The key concepts are introduced again and again, as the material makes more and more complex definitions possible. This is definitely a book that needs to be read in sequence and with great attention to detail.You should be really comfortable with abstraction and have a solid understanding of basic set theory to tackle this. This is a very good textbook, but is definitely NOT a "beach book". That said, I don't know if I've ever seen another math book that tries so hard to be understood as this book. It reminds of two other favorites, "Geometrical Methods in Mathematical Physics" by Bernard Schutz and "Topology for Computing" by Afra J. Zomorodian. The best math book I've seen in a long time.This is actually Chenoa's Dad "chett the jet"
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