What is the importance of studying Sine and Cosine Integral?

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Studying the Sine and Cosine Integrals is essential for understanding their applications in advanced mathematics, particularly in signal processing and physics. These integrals, defined as definite integrals of the sinc function, are not typically covered in standard calculus textbooks, making it challenging to find comprehensive resources. Users are seeking textbooks with exercises that explain these functions in detail, as well as numerical methods for solving related equations. Software tools like MATLAB and Mathematica are recommended for practical calculations, especially when dealing with complex integrals. Overall, while foundational knowledge of trigonometric functions is necessary, a deeper exploration into special functions and numerical methods is crucial for effective application in fields like antenna design.
  • #31
yungman said:
Input has to be in radians, not degree. I cannot find out if I can change input to degree or not.
Script programs at the level of Mathematica, Matlab, Octave etc only use radians and so should you.

If you absolutely insist on input in degrees then you need to write out the conversion: ##\sin (30^\circ )## would get typed in as
Code:
sin(pi*30/180)
 
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  • #32
Simon Bridge said:
Script programs at the level of Mathematica, Matlab, Octave etc only use radians and so should you.

If you absolutely insist on input in degrees then you need to write out the conversion: ##\sin (30^\circ )## would get typed in as
Code:
sin(pi*30/180)

Thanks
 
  • #33
lurflurf said:
These are pretty fun to study, though other things are as well. They are covered in many advanced calculus books and books on special functions. Most people only want a brief introduction.

Yes, it would be nice if I have time. I am studying antenna theory and only on Cpt.4, I already had to study spherical geometry, Poyncare sphere, wave polarization and now this Sine and Cosine Integral. I know I have to review Gamma and Bessel's functions for the next chapter. At least I gone deeper into those two in the PDE before. It's just hard to study everything. This antenna theory already put the vector calculus through the ringer!
 

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