Burn math class : and reinvent mathematics for yourself
著者
書誌事項
Burn math class : and reinvent mathematics for yourself
Basic Books, a member of the Perseus Books Group, c2016
- : hbk
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注記
Includes index
内容説明・目次
内容説明
Forget everything you've been taught about math. In Burn Math Class , Jason Wilkes takes the traditional approach to how we learn math,with its unwelcoming textbooks, unexplained rules, and authoritarian assertions,and sets it on fire.Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically,and it becomes fun!Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus.Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
目次
Act I 1. Ex Nihilo Interlude 1: Dilating Time 2. The Infinite Power of the Infinite Magnifying Glass Interlude 2: How to Get Something from Nothing 3. As if Summoned from the Void Interlude 3: A Backward Look to the Future Act II 4. On Circles and Giving Up Interlude 4: The Nostalgia Device 5. Aesthetics and the Immovable Object Interlude 5: Two Clouds Act III 6. Two in One Interlude 6: Slaying Sharp N. New is Old Interlude N: (Mis)interpreted (Readings) (Re)interpreted Aleph. The Infinite Beauty of the Infinite Wilderness Chapterlude Omega: In Nihilo Dictionary
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