What textbooks cover topics in Applied Analysis?

Click For Summary
SUMMARY

The discussion centers on recommended textbooks for the "Applied Analysis" course, covering essential topics such as Beta and Gamma functions, Fourier series, Sturm-Liouville problems, and Fourier and Laplace transforms. Key textbooks mentioned include "Applied Analysis" by John K. Hunter and Bruno Nachtergaele, "Applied Analysis with Differential Equations" by John W. Dettman, and "Introduction to Applied Analysis" by John J. Benedetto and Wojciech Czaja. Participants emphasize the importance of consulting with professors and university libraries for the most suitable resources.

PREREQUISITES
  • Understanding of Beta and Gamma functions
  • Familiarity with Fourier series and orthogonal functions
  • Knowledge of Sturm-Liouville problems
  • Basic concepts of differential equations and transforms
NEXT STEPS
  • Research "Applied Analysis" by John K. Hunter and Bruno Nachtergaele
  • Explore "Applied Analysis with Differential Equations" by John W. Dettman
  • Investigate "Introduction to Applied Analysis" by John J. Benedetto and Wojciech Czaja
  • Consult your professor for recommended textbooks specific to your course
USEFUL FOR

Students enrolled in Applied Analysis courses, educators seeking reference materials, and anyone interested in deepening their understanding of mathematical analysis and its applications.

quasar987
Science Advisor
Homework Helper
Gold Member
Messages
4,796
Reaction score
32
Hi, I'm going to take this class called "Applied analysis" text semester and I want to be sure that I have more than one reference book, so I need to know what are the books on this subject so I can borrow them at the library before anyone else.

This class will talk about:

Beta and Gamma functions. Fourier series and other orthogonal functions. Sturm-Liouville's problem. Approximation in quadratic mean. Separation of variables for partial diff. equ. Fourier and Laplace transforms.


thx!
 
Physics news on Phys.org
arfken, weber: mathematical methods for physicists covers most of that. I'm not sure about approx. in quad. mean, is that the same as rms of a function? but the rest is in there.
 


There are several textbooks that cover topics in Applied Analysis, including:

1. "Applied Analysis" by John K. Hunter and Bruno Nachtergaele
2. "Applied Analysis with Differential Equations" by John W. Dettman
3. "Applied Analysis" by Cornelius Lanczos
4. "Introduction to Applied Analysis" by John J. Benedetto and Wojciech Czaja
5. "Applied Analysis" by John K. Hunter and Bruno Nachtergaele
6. "Applied Analysis" by John J. F. Fournier
7. "Applied Analysis" by Cornelius Lanczos
8. "Applied Analysis" by J. David Logan
9. "Applied Analysis" by John K. Hunter and Bruno Nachtergaele
10. "Applied Analysis" by John K. Hunter and Bruno Nachtergaele

It is always a good idea to check with your professor to see which textbook they will be using for the course. You can also ask your university's library for recommendations or search for reviews online to see which textbook best fits your learning style and covers the topics you listed. Good luck in your class!
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
22
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 21 ·
Replies
21
Views
3K