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Athanasios Paraskevopoulos
上次活动时间: 2024-6-9

Discovering an Excellent Resource on Ordinary Differential Equations

While searching the internet for some books on ordinary differential equations, I came across a link that I believe is very useful for all math students and not only. If you are interested in ODEs, it's worth taking the time to study it.

A First Look at Ordinary Differential Equations by Timothy S. Judson is an excellent resource for anyone looking to understand ODEs better. Here's a brief overview of the main topics covered:

Introduction to ODEs: Basic concepts, definitions, and initial differential equations.
Methods of Solution:

Separable equations
First-order linear equations
Exact equations
Transcendental functions

Applications of ODEs: Practical examples and applications in various scientific fields.
Systems of ODEs: Analysis and solutions of systems of differential equations.
Series and Numerical Methods: Use of series and numerical methods for solving ODEs.

This book provides a clear and comprehensive introduction to ODEs, making it suitable for students and new researchers in mathematics. If you're interested, you can explore the book in more detail here: A First Look at Ordinary Differential Equations.

Cody

goc3
上次活动时间: 2024-6-7

Trick: Easy Digit Manipulation

There are a host of problems on Cody that require manipulation of the digits of a number. Examples include summing the digits of a number, separating the number into its powers, and adding very large numbers together.

If you haven't come across this trick yet, you might want to write it down (or save it electronically):

digits = num2str(4207) - '0'

That code results in the following:

digits =
     4     2     0     7

Now, summing the digits of the number is easy:

sum(digits)
ans =
    13

Cody

Chen Lin
上次活动时间: 2024-10-1

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