Analysis Book needed for Applied Linear Analysis Course

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The course described focuses on advanced mathematical concepts such as function spaces, convergence, inner products, and bounded linear operators, indicating a strong emphasis on functional analysis rather than statistics. The instructor is currently on sabbatical, making direct inquiries challenging, and there is no assigned textbook for the course. The prerequisites include introductory real analysis, linear algebra, and ordinary differential equations. Participants in the discussion express uncertainty about the course's classification and seek recommendations for relevant textbooks. One participant found "Functional Analysis: An Introduction" by Dzung Minh Ha, which appears to cover the necessary topics with minimal prerequisites. Despite attempts to contact the instructor, responses have been automated, leading to plans for further follow-up later in the summer.
MidgetDwarf
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The course description is as follows:

Description Function spaces, convergence, inner product, bounded linear operators, integral operators and integral equations, adjoint operators, expansion in eigenfunctions, resolvent, kernel

The instructor is on sabbatical, until the start of the class. So it is not possible to send him an inquiry directly. Moreover, the course has no assigned textbook.

The only requirements for the course are: Intro Real Analysis 1 (from sequences up to MVT/ No differentiation/Integration). Intro Linear Algebra (Lower Division), and lower division ODE.

When I google the Applied Linear Analysis, I get results for mainly Statistics based math. A few entries turned up as Functional Analysis. Is this a functional analysis course based on the topics?

Anyhow, does anyone know a book that covers the topics in the course description?
 
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The course description appears to cover topics from functional analysis. However, doesn't the instructor have a public email address? Even if on sabbatical, he might recommend a suitable book.
 
MidgetDwarf said:
When I google the Applied Linear Analysis, I get results for mainly Statistics based math. A few entries turned up as Functional Analysis. Is this a functional analysis course based on the topics?
I agree with @Petek: from your course description, the course seems much more like functional analysis than statistics.
 
Thanks for the replies. I sent an email a bit after reading the replies but forgot to follow up.

When I emailed the instructor, I received an automated reply. No actual reply from the professor.

So I will wait and see, or email at the end of the July.

In the meantime, I was able to find a hard copy of Functional Analysis: An introduction, by Dzung Minh Ha.
The same people that print Vector Calculus, Linear Algebra, and Differential forms by Hubbard. I am on chapter 2, and learned some interesting math so far. It appears to not ask much for prerequisites.
 

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