Logarithms Who needs them?. Prof. Chuck Paulsen Mechanical Engineering Naugatuck Valley Community College. Why am I here in the first place?. I wrote a book Jen Silverman said I should show it at ATOMIC Give a lecture from one of the chapters.
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Prof. Chuck Paulsen
Naugatuck Valley Community College
I wrote a book
Jen Silverman said I should show it at ATOMIC
Give a lecture from one of the chapters
I wrote this book to help students overcome the fear of the math requirements to pursue a STEM education.
In November 2008 I had an Eureka moment!
In a piston cylinder system, much like that in your automobile, the relationship of the pressure and volume is given by,
The work to compress the gas is given by,
Substituting the first equation into the second you get,
The logarithm (log) of a number to a given base is the exponent of the power to which the base must be raised to give the number!
The log of 1000 to the base 10 is 3
If a log is to the base 10 we often call it a common logarithm.
0 is the characteristic
7782 is the mantissa (see next slide)
2 x 3 = 6 hooray!
There is a special number called the Euler number e = 2.7182. The natural logarithm (ln) of a given number to the base e is the exponent of e must be raised to give the given number
The ln of 1000 to the base e is 6.9078
Not nearly as intuitive as the common logarithm
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