Proofs from THE BOOK
by Martin Aigner, Günter M. Ziegler
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Book Summary Information
Author: Günter M. Ziegler, Martin AignerIllustrator: Karl H. Hofmann
Edition: Hardcover
Audio: German (Unknown); English (Original Language); English (Published)
Published: 2003-11-13
ISBN: 3540404600
Number of pages: 240
Publisher: Springer
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Book Reviews of Proofs from THE BOOK
Book Review: A Nice Survey of some Interesting Propositions with (pretty much) Elementary Solutions
Summary: 5 Stars
Most of this book could be read by an undergraduate with only background in calculus and basic discrete math. The proofs are mostly self-contained, and there are helpful appendices to each chapter when prerequisite material is needed. I think this would be a good book for undergraduates or enthusiastic high school students to read for fun, or for lecturers to draw interesting examples from.
The proofs, while "elementary," are sometimes quite involved, however, and do require some maturity to be able to appreciate the "big picture" of each proof, and it's tempting to "island-hop" (i.e., just check that each if... then... works out in the proof, without looking at the whole thing put together). This would be especially nice material for an undergraduate math club or for math enthusiasts to read at liesure. The problems are also highly "integrated," in that they make use of ideas from several different types of math, and are not usually straightforward, so they are good examples of creative solutions to challenging problems.
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