Which Numerical Methods Resource is Best for This Course?

In summary, there are several online resources available for learning about the topics covered in this course, including the classic book "Numerical Recipes in C" and two online courses from MIT: "Numerical Methods for Partial Differential Equations" and "Solving Complex Systems." These resources require effort to fully utilize, but are highly recommended for learning about solving algebraic and transcendental equations, simultaneous linear equations, curve fitting, interpolation, numerical integration and differentiation, and the numerical solution of linear and nonlinear ordinary differential equations.
  • #1
makethings
96
0
Can anyone point me to a website or set of notes that I could read up on the topics of this course?

course includes: solving for the roots of algebraic and transcendental
equations, solution of simultaneous linear equations,
least-squares curve fits to data, interpolation, numerical integration,
numerical differentiation, and numerical solution of linear
and nonlinear ordinary differential equations for both initial and
boundary value problems.
 
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  • #2
Try the classic book Numerical Recipes in C, available in its entirey online:

http://www.nr.com

- Warren
 
  • #3
http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-Science/6-336JFall2003/CourseHome/index.htm"

http://ocw.mit.edu/OcwWeb/Aeronautics-and-Astronautics/16-920JNumerical-Methods-for-Partial-Differential-EquationsSpring2003/CourseHome/index.htm"

Both are very good resources if you're willing to put in the effort.
 
Last edited by a moderator:
  • #4
ok so which ones better?

heehee..

im checkin them all out..thx
 

1. What are numerical methods?

Numerical methods are mathematical techniques used to solve problems that cannot be solved analytically. They involve using numerical calculations and algorithms to find approximate solutions to mathematical problems.

2. Why is a numerical methods course important for scientists?

Numerical methods are used extensively in scientific research to analyze data, solve equations, and simulate complex systems. A course in numerical methods teaches scientists how to use these techniques effectively and accurately, allowing them to apply them to their research and make more informed decisions.

3. What topics are typically covered in a numerical methods course?

A numerical methods course usually covers topics such as root finding, interpolation, numerical integration, optimization, and differential equations. It also includes programming concepts and numerical analysis to understand the accuracy and stability of numerical methods.

4. What are some real-world applications of numerical methods?

Numerical methods are used in a wide range of fields, including engineering, physics, biology, finance, and computer science. Some examples of real-world applications include predicting weather patterns, designing structures and vehicles, and analyzing financial markets.

5. How can I improve my skills in numerical methods?

To improve your skills in numerical methods, it is important to practice and implement these techniques in various problems. You can also read books and research papers on the subject, participate in online courses, and collaborate with other scientists to learn from their experiences.

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