Download PDF One, Two, Three: Absolutely Elementary Mathematics
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One, Two, Three: Absolutely Elementary Mathematics
Download PDF One, Two, Three: Absolutely Elementary Mathematics
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Audible Audiobook
Listening Length: 6 hours and 34 minutes
Program Type: Audiobook
Version: Unabridged
Publisher: Random House Audio
Audible.com Release Date: May 10, 2011
Language: English, English
ASIN: B00502PCVU
Amazon Best Sellers Rank:
Numerous students, I'm convinced, have a mental block against either English or math. Mine is the latter, which is why I'm not a physicist, despite being attracted to physics. I did first pick up "A Tour of the Calculus" hoping to at some point along the way unravel the mystery of it's subject A Tour of the Calculus. But this book I picked up purely from my English major desire to read more Berlinski. Odd as it sounds, I simply put up with all the math in this book in order to read the writing, which is erudite and lyrical. Along the way, however, the author started getting around my defenses, and I started following the formulas. Why is a whole 'nother paragraph.Berlinski anticipates, and voices, the reader's (or at least this reader's) questions and objections along the way. Yes, I learned the number line. But why is there a number line? And, if it comes to that, why read about it? Because it's an amazing invention, DB made me see, and like a truly top notch teacher, he related it to counting, which has forever taken on a sort of golden glow for this reader, and showed how it can even handle the negative numbers, themselves an amazing invention. That would have been enough, but there's more. And it's even more elementary or primal. "The calculations and concepts of absolutely elementary mathematics are controlled by the single act of counting by one." You're kidding! I'm hooked, and that's only page five.There aren't many of the long, lyrical portraits that seem drawn from forgotten novels that are so prevalent in "Calculus", although they start sprouting in the second half of the book. But there are some terse bits in the history of mathematics that tie everything together. It's even possible to "do some forgetting" and see these discoveries afresh, and feel their attendant excitement. But also, revisiting the classroom scenes, Berlinski asks the questions students form but don't put, and shows how to get to the answers teachers might not give. It's truly exciting to see the relations between the various operations of addition, subtraction, multiplication and division, and the various proofs that work for some of these and not others, with Berlinski explaining and showing why this would be the case. Moreso, how this led to things before I only knew the names of: sets, and rings, and succession, and fields, and, in the tantalizing realm of physics, Planck's length.I knew of the mysterious properties of zero from reading about binary, heretofore the most interesting and fruitful mathematical idea I had encountered, but Berlinski's discussion of zero opens onto endless vistas. He brings up base 10 and the decimal system, but not in a discussion of bases (binary doesn't figure in anywhere). rather, of exponents and logarithms. This last always seemed to me to be entirely arbitrary, but his brief once over clears it right up, and he doesn't even delve into sines and cosines. That's how absolutely elementary this mathematics is. Which makes for absolutely engaging reading.
As always, an entertaining and philosophical discussion by Berlinski, though a little tedious, at times.
The book arrived in good condition
The 4 stars is a tip that the book may not please everyone as much as it did me--especially anyone who may mistakes 123 Absolutely Elementary Mathematics for a simple explanation of mathematic operations. The book is a 5-star meander back through the centuries of human endeavor. It is a tour in which Dr. Berlinski took me back to the beginning of arithmetic operations and made me experience that story as an unfolding perception of elementary mathematics developing through the centuries. We looked on as its progenitors engaged simple numbers and their properties and determinedly advanced understanding of mathematics to the achievement it is today. The tour revealed the touching history of men and women wrestling with abstruse implications and theories to bring forward to succeeding generations the well proven and elegant tool Dr. Berlinski calls Absolutely Elementary Mathematics--AEM for short. The professor surprised me with the vast subtlety of the natural numbers, and with the engaging humanity of the mathematicians who explored that arcane realm. I had needed this book as a summer reading assignment before entering junior high school--the mathematics taught in classrooms might have yielded something to me. But, it is still a helpful thing to have my understanding of numbers and math embellished now. Thanks, Professor Berlinski.
Get ready to think in ways you either never have, or haven't in a LOOOOONG time.Your left-brain will yell your right-brain, "Do not put this down."Have a pad of scratch paper and a few pencils at the ready.And in my case - LOTS of rubber erasers!!
Why did it take so long to grok David Berlinski's methods? No, not the ones he uses to demonstrate how and why things are not always what they seem (1 is not just 1, it's also 0+1). The genius behind his beautiful demonstrations of why what we've learned by rote about elementary mathematics is correct, if limited, rests not so much with addition as with subtraction. Now to reach that level of nirvana and keep me on the edge of my seat, David drives all his solutions to their highest level of abstraction, yielding a tool in every case that powers our understanding of the natural numbers and the formulas that use them.Why did that impel me to read "1,2,3 AEM" you might ask? Well for the pure pleasure of the historical, the loving teacher, approach David takes to cocoon us in the wisdom of the ages, the struggles mathematicians encountered to define, in "absolute" terms, why elementary mathematics serves us so well, the connection with ancient civilizations, the recession of the oceans of division from the islands of understanding we yearn to reach. Fun.
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