Functional analysis book for engineers

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SUMMARY

The discussion centers on finding an accessible book on functional analysis suitable for engineers without a deep background in real and complex analysis. Participants recommend "Introductory Functional Analysis with Applications" by Erwin Kreyszig as a suitable option, contrasting it with Walter Rudin's more theoretical approach, which demands extensive prior knowledge. The consensus emphasizes the need for intuitive explanations and practical applications over rigorous derivations.

PREREQUISITES
  • Basic understanding of calculus concepts
  • Familiarity with engineering applications of mathematics
  • Knowledge of real and complex analysis (not required, but beneficial)
  • Interest in functional analysis and its applications
NEXT STEPS
  • Research "Introductory Functional Analysis with Applications" by Erwin Kreyszig
  • Explore intuitive resources on functional analysis for engineers
  • Investigate practical applications of functional analysis in computational problems
  • Review introductory materials on real and complex analysis to build foundational knowledge
USEFUL FOR

Engineers, mathematics students, and educators seeking a practical introduction to functional analysis without extensive prerequisites.

realanony87
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Hello, I am currently looking for a book on functional analysis. However most books I have seen assume knowledge real and complex analysis.
But I am looking for a more superficial introduction covering the important results, some examples of applications (mainly to computational problems), and not really derivations of theorems (just intuitive explanations) etc. More like calculus for first year undergrad engineering students where integration and differentiation isn't rigorously defined but nevertheless used extensively later.
Maybe one of you can point out a book for that ?
 
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I think the book of Walter Rudin about Functional analysis is suitable
 
Although I haven't used it, I think this is more likely what you're looking for.

Introductory Functional Analysis with Applications (Paperback)
by Erwin Kreyszig

Rudin is very theoretical, and is going to require a lot of real/complex analysis background.
 

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