Yearning for the Impossible: The Surprising Truths of MathematicsThis book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress:  Irrational and Imaginary Numbers  The Fourth Dimension  Curved Space  Infinity and others The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. By imbedding mathematics into a broader cultural context and through his clever and enthusiastic explication of mathematical ideas the author broadens the horizon of students beyond the narrow confines of rote memorization and engages those who are curious about the place of mathematics in our intellectual landscape. 
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LibraryThing Review
User Review  fpagan  LibraryThingNumberrelated "impossibilities" that proved to be perfectly reasonable and valuable: irrationals, imaginaries, infinitesimals, curved spaces, quaternions, transfinites, and more. A unique, authoritative, and enjoyable exposition. Read full review
Review: Yearning for the Impossible: The Surprising Truths of Mathematics
User Review  Charles  GoodreadsMany of the mathematical ideas once considered impossible This is one of those books where I dislike the title, yet love the content. Mathematicians generally go where the necessity and reasoning ... Read full review