Elements of Mathematics

[Stillwell] writes clearly and engagingly... [Elements of Mathematics] can appeal to various constituencies at different levels of mathematical sophistication. --Mark Hunacek, MAA Reviews A great exploration of elementary mathematics, its limitations, how infinity complicates things, and how various branches of mathematics fit together. --Antonio Cangiano, Math-Blog Stillwell is ... One of the better current mathematical authors: he writes clearly and engagingly, and makes more of an effort than most to provide historical detail and a sense of how various mathematical ideas tie in with one another... The features we have learned to expect from Stillwell (including, but not limited to, excellent writing) are present in [Elements of Mathematics] as well. --MAA Reviews An accessible read... Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity. --Gemma Tarlach, Discover [A] sophisticated treatment of topics usually described as elementary. --John Allen Paulos [Elements of Mathematics] is quite a tour de force, organized by areas of mathematics--arithmetic, computation, algebra, geometry, calculus, and so on--and in each area Stillwell manages to distill down the big ideas and the connections with other areas. He is a master expositor, and the text manages to be engaging and accessible without watering down the mathematics. I definitely learned new things from the book! --Brent Yorgey, Math Less Traveled blog From a lifetime of teaching, Stillwell has distilled some nice examples from the entire gamut of elementary mathematics. --Mathematical Reviews Clippings [A] wonderful book... I think that [Elements of Mathematics] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics. --Victor Katz, Bulletin of the American Mathematical Society Elements of Mathematicsis a fine ... overview of the field of mathematics... The writing is clear, succinct, organized, and the diagrams [and] illustrations excellent... While some of the discussion is introductory or elementary, it always leads to deeper, more challenging ideas... [T]his will make a fine basic addition to most mathematicians' bookshelves. --Math Tango Stillwell uses his broad and impressive command of mathematics to transport a reader through each topic and to a higher level of understanding and questioning. --Convergence [A] wonderful book ... I think that [Elements of Mathematics] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics. --Victor Katz, Bulletin of the American Mathematical Society [Elements of Mathematics] is a book that everybody should read. You will be the better for it. --Reuben Hersh, American Mathematical Monthly