Full Product Details
Author: Evan Chen (Massachusetts Institute of Technology)
Publisher: Mathematical Association of America
Imprint: Mathematical Association of America
Dimensions:
Width: 17.70cm
, Height: 1.70cm
, Length: 25.40cm
Weight: 0.580kg
ISBN: 9780883858394
ISBN 10: 0883858398
Pages: 326
Publication Date: 22 December 2016
Audience:
College/higher education
,
Tertiary & Higher Education
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
The book is divided into four parts. Part I ( Fundamentals ) discusses a number of basic ideas that will be used repeatedly in the sequel. I hesitate to call this part of the book a review, because many of the topics covered here (e.g., Ceva's theorem, the power of a point) might well be new to a student who has not taken a college course in geometry. Part II ( Analytic Techniques ) does not, its name notwithstanding, involve analysis, but does cover a variety of useful techniques for tackling geometric problems: computational formulas, complex numbers, and barycentric coordinates. Part III ( Further from Kansas ) brings in more advanced ideas, with chapters on inversion with respect to a circle, the extended Euclidean plane (projective geometry), and complete quadrilaterals. Part IV contains a series of appendices, mostly consisting of hints and/or solutions to some of the problems in the earlier parts. A good understanding of high school geometry, and a fondness for solving problems, should be sufficient background for this book. There are topics covered here that are not generally covered in a high school course, but definitions are provided for these. The heart of a book like this is, of course, the problems. As I noted earlier, there are a great many of them, and by and large, they struck me as very difficult and involved. Even the diagrams for some of them can be a bit daunting. They should provide a good challenge for prospective test-takers, though the large number of unsolved problems might prove frustrating for some. Even if not used as the text for a geometry course, an instructor of such a course might want to keep the book handy as a potential source of challenging problems. And, as previously noted, students preparing for mathematics competitions, and their faculty coaches, should find this book very valuable. - Mark Hunacek, MAA Reviews
Author Information
Evan Chen is currently an undergraduate studying at the Massachusetts Institute of Technology. He won the 2014 USA Mathematical Olympiad, earned a gold medal at the IMO 2014 for Taiwan, and acts as a Problem Czar for the Harvard-MIT Mathematics Tournament.
