Looking for a textbook introduction to integrals of the following form

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The discussion centers on seeking a textbook that covers integrals related to path integrals in physics, particularly those involving actions and Lagrangians. The integral in question is expressed as S = ∫ dx^4 Ω e^(i ∫ ℒ dt), where S represents an action to be minimized, Ω is an integrable function across a four-dimensional volume, and ℒ is the Lagrangian. Key points of interest include understanding the significance of the Lagrangian being in the exponent and examples of minimizing S. A reference to Zee's "QFT in a Nutshell" is made, though it is noted that the book is challenging. The discussion clarifies that the action is not the entire expression but specifically the integral in the exponent.
Prez Cannady
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Summary:: Pretty sure they have something to do with path integrals, or what not. But obviously it's hard to *search* for this stuff.

Basically, I'm looking for a textbook, any textbook--physics, mathematics, etc.--that deals with integrals that look something like this (mistakes are mine):

S = \int dx^4 \Omega \, e^{i \int \mathcal{L} dt}

Where S is an action to be minimized, \Sigma is just something integrable across the 4-volume and \mathcal{L} is a Lagrangian. Ideally, looking for something that:

1. explains why the Lagrangian is in the exponent of e like that and what it signifies, and
2. works an example of minimizing S.

Basically, just want to know where to start.
 
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Sweet. I have Zee.
 
Okay, so first of all it seems the action is *not* the expression, but just the integral in the exponent of e. That's good to know.
 
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...

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