Book needed for Applied Linear Analysis Course

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Discussion Overview

The discussion revolves around finding a suitable textbook for an Applied Linear Analysis course, which includes topics such as function spaces, bounded linear operators, and integral equations. Participants explore the nature of the course, questioning whether it aligns more with functional analysis or statistics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant describes the course content and its prerequisites, suggesting it may be related to functional analysis.
  • Another participant questions the availability of the instructor's contact information, suggesting that the instructor might still provide recommendations despite being on sabbatical.
  • Some participants express uncertainty about the course's alignment with functional analysis versus statistics, with one agreeing that it seems more like functional analysis.
  • A participant shares their experience of reaching out to the instructor but only receiving an automated reply, indicating a lack of direct communication.
  • One participant mentions finding a textbook, "Functional Analysis: An Introduction" by Dzung Minh Ha, and notes its accessibility regarding prerequisites.

Areas of Agreement / Disagreement

Participants generally agree that the course appears to be more aligned with functional analysis rather than statistics. However, there remains uncertainty regarding the best textbook and the instructor's availability for guidance.

Contextual Notes

The discussion reflects limitations in communication with the instructor and the lack of an assigned textbook, which may affect participants' ability to prepare adequately for the course.

Who May Find This Useful

Students enrolled in or considering an Applied Linear Analysis course, as well as those interested in functional analysis and related mathematical topics.

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.
 
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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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