Applications of Power Series
Key Questions
-
An important application of power series in the field of engineering is spectrum analysis.
In radio, audio, and light applications, it is very useful to be able to receive a wide range of frequencies and be able to pinpoint which frequencies are the loudest/brightest. By using a form of power series called the Fourier Series/Fourier Transform, we are able to do this mathematically. This algorithm is used in everything from instrument tuners to deep-space telescopes, and learning power series is very important to understanding it.
Jake L.
·
5
·
Jan 15 2015
Questions
Power Series
-
Introduction to Power Series
-
Differentiating and Integrating Power Series
-
Constructing a Taylor Series
-
Constructing a Maclaurin Series
-
Lagrange Form of the Remainder Term in a Taylor Series
-
Determining the Radius and Interval of Convergence for a Power Series
-
Applications of Power Series
-
Power Series Representations of Functions
-
Power Series and Exact Values of Numerical Series
-
Power Series and Estimation of Integrals
-
Power Series and Limits
-
Product of Power Series
-
Binomial Series
-
Power Series Solutions of Differential Equations