Other Complex analysis or calculus?

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The discussion centers on whether to pursue a book on complex analysis or calculus to enhance understanding of mathematical concepts in physics. It emphasizes the importance of mastering differential, integral, and multivariate calculus before tackling complex analysis, as a solid calculus foundation is crucial for comprehending more advanced topics. Recommendations include using advanced texts in real analysis or differential equations if basic calculus is already mastered. Applied texts like Zill's and Schaum's Calculus are suggested as useful resources, particularly for physics students. Ultimately, focusing on calculus first is deemed essential before progressing to complex analysis.
Neutrin0
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Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and then move onto the next book, which would be the complex analysis. And I’m pretty sure the book mathematics for physicists has some linear algebra to so I might get a linear algebra book to. But I’d rather get an answer from experts then assume something.
 
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CAlculus is typically learned before complex...

So calculus.
 
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If you haven't mastered differential, integral and multivariate calculus at the freshman level, then that should be your focus. If you have, then the typical freshman textbooks in calculus won't help you much. Maybe a more advanced text in real analysis, differential equations or a similar subject would help you understand the physics. Regardless, if your background in calculus and real analysis is not sufficient, complex analysis will seem impossibly difficult.
 
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chth said:
If you haven't mastered differential, integral and multivariate calculus at the freshman level, then that should be your focus. If you have, then the typical freshman textbooks in calculus won't help you much. Maybe a more advanced text in real analysis, differential equations or a similar subject would help you understand the physics. Regardless, if your background in calculus and real analysis is not sufficient, complex analysis will seem impossibly difficult.
Thank you for the advice, I did take a look at my schools calc book and if I’m not mistaken it did have some of the subjects you mentioned. And if it doesn’t there are online sources that I can use in case, regardless I’ll make sure to focus on what you said first and then move onto complex analysis.
 
A lot of complex analysis books are super rigorous and meant for mathematicians rather than physics students. A good applied text is the one by Zill - the first chapter starts with complex numbers so you can do it before calculus, but it will eventually start using calculus and assume you already learned it.
 
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Muu9 said:
A lot of complex analysis books are super rigorous and meant for mathematicians rather than physics students. A good applied text is the one by Zill - the first chapter starts with complex numbers so you can do it before calculus, but it will eventually start using calculus and assume you already learned it.
Schaum's Calculus too, is a good applied text. An underrated collection, imo.
 
WWGD said:
Schaum's Calculus too, is a good applied text. An underrated collection, imo.
You mean this one?
 
Muu9 said:
You mean this one?
Yes, that one. Could complement other textbooks, and there are cheap used copies of it.
 
Muu9 said:
You mean this one?
That's for complex numbers. This one for calculus.

https://www.amazon.com/Schaums-Solved-Problems-Calculus-Outlines/dp/0071635343/?tag=pfamazon01-20

And if that one is too easy, this one.

https://www.amazon.com/Schaums-Outline-Advanced-Calculus-Outlines/dp/0071623663/?tag=pfamazon01-20

Schaum's are pretty good for a large array of topics. They are a quite good learning aid if you like solved problems. And they are comparatively cheap. Most students have limited money. They also have a couple handbooks that are potential to keep close by for many years. Integral tables and Laplace transforms and math formulas and a few others. So if you are doing hand calculation or numerical computer calcs, browse through the Schaum's catalog. Cheaper than the CRC handbook.
 
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DEvens said:
That's for complex numbers
The book I linked also covers calculus in the complex plane.
 
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DEvens said:
Schaum's are pretty good for a large array of topics. They are a quite good learning aid if you like solved problems. And they are comparatively cheap.
I have always liked learning by example. Here's my Schaums collection. Some I bought new, some used, some given to me by retiring coworkers.

schaums.webp
 
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I found schaums useful for things like probability [Markov Chains], PDE, Toplogy, complex analysis Ie., for more examples to apply the theory learned from pure mathbooks.
 
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gmax137 said:
I have always liked learning by example. Here's my Schaums collection. Some I bought new, some used, some given to me by retiring coworkers.

View attachment 367957
Did you do your bachelor's in engineering?
 
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Muu9 said:
Did you do your bachelor's in engineering?
No, physics bachelor's; nuclear eng masters.
 

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