Numerics for Physics: Classics & Advanced Texts

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SUMMARY

This discussion focuses on recommended texts for numerics in physics, particularly for those with a solid mathematical background. Key recommendations include "Numerical Recipes" (3rd edition) for its comprehensive topic coverage and references, and "Numerical Analysis" by Burden and Faires for its balanced approach to analysis and algorithms. The discussion emphasizes the importance of selecting texts that cater to varying levels of expertise in numerical methods.

PREREQUISITES
  • Understanding of calculus (Calc 1-3)
  • Familiarity with linear algebra and differential equations
  • Knowledge of mathematical physics and complex variables
  • Introductory experience in scientific computing
NEXT STEPS
  • Research "Numerical Recipes in C" for practical applications in physics computation
  • Explore "Numerical Analysis" by Burden and Faires for foundational concepts
  • Investigate advanced numerical methods through "Applied Numerical Methods with MATLAB" by Steven C. Chapra
  • Learn about object-oriented programming in numerical methods, particularly in the context of the 3rd edition of "Numerical Recipes"
USEFUL FOR

This discussion is beneficial for physics students, computational physicists, and anyone interested in numerical methods for scientific computing, particularly those with a strong mathematical foundation.

Winzer
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I am looking at getting into numerics. This will be mostly aimed at computation in physics.
What texts would recommend that are numeric classics? Also a list of texts from in terms of how advanced they are would be great.

My Math background: Calc 1-3, Linear Alg, Diff Eq, Math Phys., Complex Variables, PDEs, and Intro to
Scientific Computing. Soon to come Grad Math Phys and Analysis.

Thank you.
 
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Computation in physics can mean a lot of things. But a very nice book is Numerical Recipes, which was written by physicists. It can be a little light on description/analysis in places, but the choice of topics is superb and has generous lists of references. Chances are, whatever you are interested in doing, it discusses to some degree and can point you to more details. 2nd edition is really good - 3rd editio nhas a few new topics and is object oriented I think.

There are many more standard numerical analysis textbooks. A good intro book would be by Burden and Faires, which is a reasonable blend of analysis and algorithm descriptions. As always, used copies of old editions are usually the best bet.

good luck,

jason
 

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