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Book is a deceptive description. This work reads like a selection of scholarly articles chosen for their approachability by the non initiated in mathematics. It broaches advances subjects like non-euclidean geometry and set theory. Finishing the book gives you hope and appeal for math that Most college level classes Calculus, Trig and Linear Algebra rob from us.

Bridges to infinity shows us that math can be about creativity and ntot just rote memorization. Nov 05, Ann rated it really liked it Shelves: nonfiction.

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## Chapter 6. The Future of Mathematics Education

I really enjoyed this book - thanks to Amy for recommending it. It makes me want to read Godel Escher Bach, which I have always wanted to read but never felt brave enough.

I loved the actual mathematical core of each essay - the concepts were very clearly explained and even I, with my less-than-adequate spatial imagination, was able to visualize the abstract mathematical constructs Guillen described. I finally "get" non-Euclidean geometry, irrational numbers and topology, at least well enough for I really enjoyed this book - thanks to Amy for recommending it.

## Bridges to Infinity: The Human Side of Mathematics | Michael Guillen

I finally "get" non-Euclidean geometry, irrational numbers and topology, at least well enough for my purposes. I'd love it if he wrote a new edition - it was written in and I'm sure many advances have been made in math theory and application since then. For example, the last chapter on combinatorial problems e. I wonder if this is still the case.

There was one really dated and infuriating reference in the chapter on Godel, where Guillen uses as an example of an unproveable verity "a seductive question" psed by a man to a woman in a TV ad: "Is it true when you say no, you really mean yes? The reason the book got only 4 stars is that each chapter ended with a paragraph or two, trying to tie the math to some aspect of human philosophy, psychology or social theory.

### Michael Arthur Guillen

Those paragraphs seemed very weak to me, and by half-way through the book, I found myself just skimming them, and turning the page quickly to get to the next substantive bit of writing. I was surprised, because I generally love books that tie ideas together from diverse fields, but these connections just didn't work for me. I think I'll end up re-reading several of the essays in this book every year or so, to really lock in the math concepts. A set of essays that introduce complex math topics without the rigorous mathematical language.

Favorite quote: Related to topology believe it or not! And what is it about us collectively that might survive the millions of years of future evolutionary changes - if we are, in fact, evolving? Those unresolved questions bear on the larger questions of our uniqueness and how we think of ourselves as fitting into the scheme of thing A set of essays that introduce complex math topics without the rigorous mathematical language.

Those unresolved questions bear on the larger questions of our uniqueness and how we think of ourselves as fitting into the scheme of things; they also bear on how we can recognize old friends at reunions without resorting to name badges. Aug 12, ddjiii rated it it was amazing. I read this set of essays I think I actually bought it myself when it was first published.

It does a remarkable job at laying out the ideas behind very challenging mathematical ideas - comparative infinities, non-euclidian geometries, etc. There are almost no equations. It also gets at the mathematician's idea of beauty, and the motivation for why some of these ideas were pursued. The gulf between science and humanities is rarely bridged, a I read this set of essays I think I actually bought it myself when it was first published.