Need recommendation on math books for phd in electrical engineering

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In the early stages of a Ph.D. program in electrical engineering, a student recognizes the need for advanced mathematical knowledge, particularly for applications in circuits. While foundational courses like calculus, differential equations, and linear algebra were completed during undergraduate studies, they are insufficient for more complex topics such as phase-locked loops (PLL), oscillators, analog-to-digital converters (ADC), filters, and noise analysis. Recommendations include consulting with senior students and advisors for tailored advice on necessary math skills. Suggested resources include "Applied Complex Variable" by Yue Kuen Kwok, which focuses on complex variables in electrical circuits, and "Partial Differential Equations with Fourier Series and Boundary Value Problems" by Nakhle H. Asmar for a deeper understanding of relevant mathematical concepts.
dl332
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Hi,

I'm in the early stage of my ph.d program in electrical engineering and I have realized I need to know more math (I'm in circuits).

Problem is that I have no idea where to even begin. In my undergraduate, I took the basic math courses (calculus , DEQ, linear algebra) but these aren't really helping me get very far.

Any recommendation on courses / textbook would be appreciated. I am planning to study a subject alone.

For other fellow elec.engineers, the math that I am mostly interested in are the ones we use in PLL, odcillator, ADC, filter, and noise.
 
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I would recommend speaking with older students in your same specialty at your university and of course your advisor. Those people will know best what math you need to survive your upcoming classes, exams, and research.
jason
 
Try searching for these books. "Applied Complex Variable by Yue Kuen Kwok, Cambridge University Press." The mathematics level should be suitable for your Phd level and it explains the application of complex variables in electrical circuits.

Plus, you can try "Partial Differential Equation with Fourier Series and Boundary Value Problem by Nakhle H. Asmar, Pearson International Edition'.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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