Download PDF A Tour of the Calculus
Download PDF A Tour of the Calculus
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A Tour of the Calculus
Download PDF A Tour of the Calculus
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From the Inside Flap
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review
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About the Author
David Berlinksi was born in New York City. He received a B.A. degree from Columbia College and a Ph.D. from Princeton University. He has taught mathematics and philosophy at universities in the United States and France.
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Product details
Paperback: 352 pages
Publisher: Vintage; 1st edition (January 28, 1997)
Language: English
ISBN-10: 0679747885
ISBN-13: 978-0679747888
Product Dimensions:
5.2 x 0.7 x 8 inches
Shipping Weight: 8.8 ounces (View shipping rates and policies)
Average Customer Review:
3.4 out of 5 stars
136 customer reviews
Amazon Best Sellers Rank:
#679,172 in Books (See Top 100 in Books)
This book will *not* teach you calculus. But if, as I was, you are returning to the calculus after decades of absence, it *can* give you some of the underlying concepts behind the usual sequence of steps that are used to teach calculus: instantaneity, limits, differentiation, anti-differential -> integration, and so on. The downside is the author's purple prose, which can be very annoying until you learn how to tune it out: how to jump over the florid passages to get to the next concrete conceptual treatment. It's kind of like getting across boggy ground by jumping from high ground to high ground.I *must* not however that I have both the paperback and the Kindle version, and I note that the Kindle version has some UNFORTUNATE mis-transcriptions of the text. If you're really following the harder mathematical material, you may easily fail to spot where a variable is missing or an integration or function symbol has been translated to something completely different. I cannot therefore recommend the Kindle version.Still: if you are learning the calculus from a disciplined math text, this book can prove to be a very useful conceptual guide to what might be a little dry in the textbook. But remember: it is *not* a book for learning the calculus in detail.
Berlinski loves beauty in the world and in mathematics. He bestows to the appreciative reader the realization that continuity is the result of humans existing as macroscopic conscious entities with gross macroscopic sensations in midst of a physical world consisting of very small constituents such as molecules and atoms. Herein the conflict between discrete numbers( a product of our cognition) and our ( coarse ) perception of continuity.
This book has all the fun in mathematics that I never had in math class in college. I actually gained understanding with some of the math concepts due to the author's style of writing and humor. If I read this book in college before I took calculus, I might have ended up with a BS degree instead of a BA. It is not a math book but has enough concepts to stir imagination. Thoroughly enjoyed it.
Great book, giving an overview of the concepts and ideas behind the calculus, without getting bogged down in computational details. A great companion to a standard calculus text, to provide easy reading regarding concepts such as limits, the real number line, and the physical meanings of differentiation and integration.
I am not a mathematician--I would have to call myself more of a math enthusiast. I have dozens of popular "teach yourself" style math books, spanning college algebra to multivariate calculus. Unfortunately, it doesn't usually stick, as my day job rarely requires me to engage with math on any serious level. Still, periodically I find my feelings of mathematical inadequacy grow to the point where I feel compelled to undertake a refresher course. On those occasions, I always turn to Berlinski's "A Tour of the Calculus" to mentally prepare for the endeavor. Mastering formulae and technique is one thing; feeling like I viscerally "get" what the whole thing is about is another. Berlinski not only inspires me to make a fresh undertaking, but insures that when I do attack the body of work that is the calculus, I get the "why" and not just the "how." Highly recommended.
My friend Alexander recommended this book to me in passing one day, so I ordered it and promptly forgot about it. The package arrived and sat on my desk for a week before I had time to open it. I started reading. And reading. And reading. It's hard to believe that a math book can be a page turner, but David Berlinski has accomplished that feat.This won't make you an expert in calculus. It's a tour, as the title says, not an in-depth course. However, Berlinski does a wonderful job of making the material continuously engaging by interweaving history, practical application, and theory. He starts with an excellent ground rule: prove no theorems. You must take everything he says on faith (but you can switch to a calculus textbook any time if your faith wavers ;). That brush-clearing maneuver gets the reader out of the mess of mathematical rigor, revealing the beauty of calculus.Although I studied calculus years ago, this was a great reminder of the fundamentals. I also learned a great deal about the people behind The Calculus -- Newton, Leibnitz, et al -- that I never knew before. A great gift book for your intelligentsia friends.
The author is off his rocker but seriously the guy helped me make sense of Calculus I. Not only did I learn how to take derivatives and limits and find areas but this book explained why I was doing. If you're looking to know more about the subject than just how to do calc problems, this is a pretty good book to start with.
This is the only book I have ever read that pulls all of the concepts of calculus together into one complete package. The style is a bit wordy, but that is the point. It keeps you interested and involved. The background and history of calc are combined with stories to aid in learning. If you want to understand calc and really know what you are talking about, this is the book for you. It isn't a textbook and it won't teach you how to solve problems, but by the end of it, you will KNOW calc! Outstanding supplement to a textbook.
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