Self-Study Differential Equations: Textbook for EE Major

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Self-studying differential equations is a viable option for those unable to fit the course into their schedule, particularly for EE majors looking to expand their knowledge in quantum mechanics. Recommended textbooks for differential equations include Dover publications, specifically Tanenbaum for ordinary differential equations (ODEs) and Farlow for partial differential equations (PDEs). Ross's book on differential equations is noted for its effective blend of theory, problem-solving, and applications, with a particularly helpful chapter on power series solutions. For quantum mechanics, suggested texts include Zettili for an introductory approach and Shankar for a more advanced perspective. The discussion also touches on the relationship between quantum mechanics and statistics, clarifying that while quantum mechanics involves basic probability concepts, undergraduate courses typically do not require a statistics prerequisite because these concepts are sufficiently covered within the course material.
sandy.bridge
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Unfortunately I am unable to fit a first course in differential equations into my schedule, therefore I have opted to self study the said course. I am looking for a textbook appropriate for an introduction into differential equations that isn't too ambiguous to tackle on my own. I am an EE major wanting to expand my knowledge in quantum mechanics on the side (the amount of quantum mechanics for my degree is minute, so I am self-teaching what I can.)
 
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Also, any other math textbooks that will aid with quantum mechanics is appreciated
 
I thimk that Dover publications would suit you pretty nicely. Search for their books on ODEs (tanenbaum) and PDEs (farlow). As for QM, you could use Zettil, Ballentine or Griffiths. A search in the forum's previous threads would be a good option too :P
 
Ross, Differential Equations. It has a very nice blend of theory, simply solving DEs and applications. I think his chapter on solving ODEs with power series is especially instructive.

https://www.amazon.com/dp/0471032948/?tag=pfamazon01-20

I just got a used hardcover cause it is pricey otherwise.
 
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One more thing: I was under the impression qm dealt a lot with statistics/probability, however, the majority of undergraduate qm courses don't require a statistics course as a prereq. Why is that?
 
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sandy.bridge said:
One more thing: I was under the impression qm dealt a lot with statistics/probability, however, the majority of undergraduate qm courses don't require a statistics course as a prereq. Why is that?


Because quantum mechanics only uses very simple aspects of probability theory, so it is easily covered in class.
 

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