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Modern Introductory Analysis

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Houghton Mifflin Mathmatics Textbook. Modern Introductory Analysis.

Hardcover

First published August 1, 1984

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Mary P. Dolciani

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Profile Image for Ken K.
127 reviews
November 17, 2023
This was my Senior Math textbook 50 years ago. I read it (but did not do all the exercises), and was pleasantly surprised to remember a fair amount of the material. Much of the book is useless in today's world, but it is a useful book for learning about functions and trigonometry.
This is an interesting nostalgic trip back to the days when there were no handheld calculators. For example: To find the fifth root of a number, you would express the number in scientific notation, find its common logarithm (in Table 4, to 4 decimal places), add the characteristic, divide the derived log by 5, look up that number in Table 4, and interpolate to find the answer. And the log of any number less than 1 would not expressed as a negative number. For example. log(.5) would be shown as (0.6990-1); on my calculator today it says -0.301029996, in a fraction of the time it used to take us.
If I need to know the sine of 33 degrees, 20 minutes, I am ready by using Table 2, but if I need to know the sine of 33.5 degrees, I need to interpolate values from the table.
There are lots of examples showing how to graph functions by plotting points. Who needs a computer or graphing calculator?
On a somewhat related topic, read Isaac Asimov's short story, "The Feeling of Power" from 1958.
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