Free PDF Dead Reckoning: Calculating Without Instruments, by Ronald W. Doerfler
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Dead Reckoning: Calculating Without Instruments, by Ronald W. Doerfler
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No author has gone as far as Doerfler in covering methods of mental calculation beyond simple arithmetic. Even if you have no interest in competing with computers you'll learn a great deal about number theory and the art of efficient computer programming. ―Martin Gardner
- Sales Rank: #1170468 in Books
- Brand: Brand: Taylor Trade Publishing
- Published on: 1993-09-01
- Original language: English
- Number of items: 1
- Dimensions: 8.94" h x .55" w x 6.04" l, .60 pounds
- Binding: Paperback
- 182 pages
- Used Book in Good Condition
Review
Fascinating...no author has gone as far as Doerfler in covering methods of mental calculation beyond simple arithmetic. Even if you have no interest in competing with computers you'll learn a great deal about number theory and the art of efficient computer programming. (Martin Gardner, author of Mathematical Carnival)
Most helpful customer reviews
29 of 29 people found the following review helpful.
The magnum opus of mental arithmetic!
By A Customer
Imagine transforming your mind into a slide-rule with the added bonus of extra precision! "Dead Reckoning" is the ONLY book of its kind, running the gamut from ordinary operations like multiplication and division to roots (square, higher-order, and reciprocal), logarithms and their inverses, and finally trigonometric functions and their inverses. The book also contains other gems such as factorization techniques, continued fractions (for creating rational approximations), and also an algorithm which permits mental square root extractions to arbitrary precision. Those who feel daunted by symbolic formulas needn't worry, the book is replete with examples which provide both clarity and realism to the presentation. The author has an engaging style and has obviously taken great pains; the clarity of the exposition is excellent throughout. Moreover, the text is profusely referenced for those wishing to further pursue a topic that piques their interest. The techniques and strategies contained therein are as practical as they are efficient and are equally amenable to quick pen-and-paper calculations for those not interested in pursuing mental computations. Heartily recommended! - Grant Nixon
27 of 27 people found the following review helpful.
Great Idea, Poorly Proofread
By Amazon Customer
There are many books designed to teach rapid calculation without aid of a machine. The topic that sets this one apart, and the entire reason I bought it is that it covers logarithms. Unlike most of the books in this genre this one does not waste space with endless examples and practice problems, anybody can create there own. It does back an impressive array of methods to increase speed in pencil and paper calculation, and makes it clear that each method has a time and place for maximal performance.
This book was well thought out, but unfortunately not well proofread. For example, pp 14 and 15 have the following mistakes:
"125 x n = 8n,000 / 8" should read "125 x n = n,000 / 8"
"37 can be represented as 111/4" should read "37 can be represented as 111/3"
The typos caused me to verify every method presented, but could lead unsuspecting travelers down the wrong path.
BOTTOM LINE: This books is a wonderful treasury of number sense that is riddled with typos.
7 of 7 people found the following review helpful.
Fascinating but not for everyone
By maddog
If your goal is to learn 'Speed Math' - the ability to do arithmetic quickly and perhaps without pencil & paper, this book is not the best choice. There are several excellent books on this subject. This book is written by a scientist for people with a similar background in math. To read this book without struggling you need strong algebra skills and a familiarity with Taylor series and the like. Typically this means you have taken at least two semesters of calculus. If you have the algebra but not the rest, you can follow this book but it will take some chewing to follow the discussions. However, if you are up for it, this book will take you deeper and further into the theory and practise of hand computation than any other that I have seen. In addition to a fascinating exploration of arithmetical techniques and their theoretical underpinnings, he also covers logarithms and trig functions. Logs are an enormously powerful tool for mental calculation. If you memorize a handful of basic logarithms you can do such stunts as mentaly evaluating numbers to arbitrary powers to a good approximaation.
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