Numerical Analysis book question

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Discussion Overview

The discussion revolves around the selection of a suitable textbook for a numerical analysis class, with a focus on the book "Numerical Mathematics" by Quarteroni. Participants share their experiences with various recommended texts and express concerns about the difficulty of the material, as well as the balance between mathematical theory and practical implementation.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a preference for Quarteroni's "Numerical Mathematics" due to its focus on mathematics rather than software, despite finding it challenging to read.
  • Another participant questions the initial preference for the book, suggesting that understanding should be prioritized over formalism.
  • A third participant recommends Epperson's "An Introduction to Numerical Methods and Analysis" as a concise alternative.
  • One participant shares their university's curriculum, detailing two courses on Computational Physics that utilize MATLAB and recommending specific textbooks for different topics, while cautioning against one of the suggested books due to its difficulty and use of Fortran.
  • There is an emphasis on following lecturer recommendations and focusing on algorithms rather than coding in the context of studying numerical analysis.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of various textbooks, with no consensus on which book is the best choice for beginners in numerical analysis. Some participants advocate for a focus on understanding and ease of reading, while others emphasize the importance of mathematical rigor.

Contextual Notes

Participants mention varying levels of difficulty associated with different textbooks and the importance of aligning study materials with course requirements and personal background in mathematics or physics.

Jecs
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So in my future numerical analysis class the recommended book i liked the most was Numerical mathematics by Quarteroni :

https://books.google.pt/books/about...p_read_button&redir_esc=y#v=onepage&q&f=false

Since i like this branch of mathematics i tried to go to a library and read it and although i liked it i found it a bit hard to read maybe because of it's formalism or my lack of knowledge that i should have to read it.
Is this one of those cases were you should read a book to prepare yourself for a harder one or should i focus on something else first ?

Thanks in advance
 
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If you find that book too hard, why do you say that you liked it the most? Many reviewers on Amazon seem to agree with your comment that it is hard to understand. There is something to be said for a book that you can understand. What are the other recommended books? If one of them is easier to understand, I suggest that you look at it.
 
I liked it the most because it's not a recipe book or MATLAB centered (although is has some code examples) like the other's that are recommended. It seems to be more focused in the mathematics rather than a computer language or software implementation (although it has some examples).

To answer your question the other recommended books are:

Numerical methods using MATLAB by Mathews.
Applied numerical methods using MATLAB by Fausset.

Thanks for your reply.
 
In my university, we study 2 courses about Computational Physics (or Numerical Analysis in Mathematics Faculty), CP1 and CP2, and we use MATLAB.
I don't know what your major in university is, Mathematics of Physics, but if your major is Physics, see below :-p

CP1 we study about Number, Errors, Solving linear eq/system of eqs, Interpolation, Numerical Integration and Numerical Differentiation. We are recommended to use 3 books: A First Course in Computational Physics (Paul DeVries), Computational Physics (Páez, Landau <-- Not Landau we all know :biggrin:) and Numerical Analysis Using Spreadsheet (Karris). For me, I don't recommend you with the first one - Paul DeVries - because it's quite hard and it uses Fortran.

CP2 we study about Monte Carlo method, Molecular Dynamics, Partial Differential Eqs and Fourier Transformation. We are recommended to use: PDE (Farlow), PDE:An Introduction (W. Strauss) for PDE part. For MC, MD and Fourier Transformation, we just study in the class.

Last words, you can read whatever you want, but
1st, follow the lecturer's recommend
2nd, focus much on algorithm, less on coding

Good luck :wink:
 
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