June 2003
Intermediate to advanced
576 pages
18h 29m
English
Content preview from Mathematics for Electrical Engineering and ComputingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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1
Sets and functions
1.1 Introduction
Finding relationships between quantities is of central importance in engineering. For instance, we know that given a simple circuit with a 1000 Ω resistance then the relationship between current and voltage is given by Ohm's law, I =V /1000. For any value of the voltage V we can give an associated value of I. This relationship means that I is a function of V. From this simple idea there are many other questions that need clarifying, some of which are:
1. Are all values of V permitted? For instance, a very high value of the voltage could change the nature of the material in the resistor and the expression would no longer hold.
2. Supposing the voltage V is the equivalent voltage found from considering a larger ...
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