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Laddar... Burn Math Class: And Reinvent Mathematics for Yourselfav Jason Wilkes
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The author focuses on how mathematics is created rather than on mathematical facts and teaches the subject without requiring memorization or any mathematical knowledge beyond basic computation. Inga biblioteksbeskrivningar kunde hittas. |
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Google Books — Laddar... GenrerMelvil Decimal System (DDC)510Natural sciences and mathematics Mathematics General MathematicsKlassifikation enligt LCBetygMedelbetyg:
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Wilkes creates a whole new vocabulary that substitutes common English words for abstract mathematical concepts. For example, he writes about “machines” that turn out to be what mathematicians call “functions.” They “eat” numbers and spit out other numbers. For the mathematicians’ universal symbol for unknowns, ‘x’, he substitutes “stuff.” Polynomials are “plus-times machines” because they can be described using only addition and multiplication. He pretends to examine his “machines” so microscopically so that their curved lines become straight, and produces the concept of a derivative. From there, the author builds a complete calculus of infinite dimensions, along the way showing (by Taylor expansion, which he labels a “nostalgia machine”) how to calculate the value of ∏, (Euler’s) ℮, and all the trigonometric functions.
Evaluation: Despite the fact that the author argues that his approach will penetrate some of the mystery associated with learning higher math, this is not an easy book. For someone with an interest in math, however, it is an enlightening approach that is bound to help the reader appreciate the intrinsic beauty of the concepts dealt with. One carping criticism I have of the book is that the final two chapters, dealing with the idea of "metaconcepts," seem a bit kooky. Otherwise, a terrific read, and his dedication in the form of mathematical equations is terrifically clever.
(JAB) ( )