"Euler's Gem is a thoroughly satisfying meditation on one of mathematics' loveliest formulas. The author begins with Euler's act of seeing what no one previously had, and returns repeatedly to the resulting formula with ever more careful emendations and ever-widening points of view. This highly nuanced narrative sweeps the reader into the cascade of interlocking ideas which undergird modern topology and lend it its power and beauty."--Donal O'Shea, author of The Poincaré Conjecture: In Search of the Shape of the Universe
"Beginning with Euler's famous polyhedron formula, continuing to modern concepts of 'rubber geometry,' and advancing all the way to the proof of Poincaré's Conjecture, Richeson's well-written and well-illustrated book is a gentle tour de force of topology."--George G. Szpiro, author of Poincaré's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles
"A fascinating and accessible excursion through two thousand years of mathematics. From Plato's Academy, via the bridges of Königsberg, to the world of knots, soccer balls, and geodesic domes, the author's enthusiasm shines through. This attractive introduction to the origins of topology deserves to be widely read."--Robin Wilson, author of Four Colors Suffice: How the Map Problem Was Solved
"Appealing and accessible to a general audience, this well-organized, well-supported, and well-written book contains vast amounts of information not found elsewhere. Euler's Gem is a significant and timely contribution to the field."--Edward Sandifer, Western Connecticut State University
"Euler's Gem is a very good book. It succeeds in explaining complicated concepts in engaging layman's terms. Richeson is keenly aware of where the difficult twists and turns are located, and he covers them to satisfaction. This book is engaging and a joy to read."--Alejandro López-Ortiz, University of Waterloo
And yet he deals with them so simply you might think that all math is like that.
Ian Stewart's 2007 book Why Beauty is Truth: The History of Symmetry cites the "conventional wisdom in science writing that every equation halves a book's sales."
This is such an easy way to approach topology and I wish my classes had started here, rather than with point sets and limits.
Interesting to those of us who like to read math books. Informative and historical. Some medium to higher level math knowledge is necessary to get the most out of this book. Read morePublished 12 days ago by William L. Brunner
This is a wonderful book. Even for a professional mathematician, there is much to learn from this book. This book is an excellent example in how to write Mathematics. Read morePublished 25 days ago by Dr S Muralidharan
I ran into this book because my ex professor recommended it (he didn't have a strong topology background). Read morePublished 2 months ago by Troy learns to design
"Euler's gem" is a story of mathematical passion, the kind of passion for abstract ideas that leads mathematicians to discover unexpected relationships that may exist only... Read morePublished 7 months ago by Jim
Very good expose of topology for the math enthusiast without formal background. Last chapters demands a bit in terms of keeping in mind the previously discussed material, and may... Read morePublished 12 months ago by Amomymous
I read this book after going through a series of books about mathematics aimed at the general public, including MacCormick's book about modern algorithms and a book about general... Read morePublished 14 months ago by Eric C
I knew about euler's formula from high school, but I'd never seen it connected with topology. This is such an easy way to approach topology and I wish my classes had started here,... Read morePublished 18 months ago by Sundadar