# Practical Mathematics using MATLAB

## By Gunnar Backstrom

GB Publishing
Publication date: April 2012
Digital Book format: PDF (DRM-Free)
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Must you learn mathematics as in the 1800s?
Teach yourself by MATLAB®!

Undergraduate mathematics is difficult mainly because it is presented in the form of derivations and proofs. These impressive underpinnings made by professional mathematicians may now be taken for granted, and if you only want to make practical use of the theory there is a shortcut. Trust the verifications of generations of mathematicians and proceed directly to applications, involving only the well-known rules of arithmetic. This is the goal of the present book, which also confers understanding of both algebra and calculus.

This e-book is based on MATLAB®, an extremely powerful and well-structured software package. The Student Versions of MATLAB may be ordered from MathWorks Inc. by colleges and universities, which in turn can sell CDs to their students, or simply give them away. The full price is around \$100. These educational versions are practically identical to the professional MATLAB program, and the restrictions are of no importance in undergraduate work. An enormous number of MATLAB Student Versions now exist in the world, to be borrowed or purchased second-hand. The version 5.3 was used for this book, but the author has verified that the examples involved also run under the versions 6 and 7. The 5.3 version is not copy-protected, so one can make personal backup CDs. Of course, the Professional MATLAB program may also be used, but it must include the Symbolic Math Toolbox.

The following list shows a few subjects found in the table of contents.

• MATLAB® as a calculator
• Geometric applications
• Vectors in (x,y) and (x,y,z)
• General vectors
• Systems of linear equations
• Plotting functions
• Zeros and extreme points
• Symbolic algebra
• Limits and derivatives
• Sums and integrals
• Symbolic calculus
• Random events and statistics
• Fitting a function to data
• Ordinary differential equations (ODEs)
• Symbolic solutions of ODEs
• Complex numbers and functions
• Fourier series
• Fourier transforms

### Interview with Gunnar Backstrom

eBookMall recently interviewed Gunnar Backstrom. Here is an excerpt:

What advice would you give to students going into mathematics and/or physics?

"I should encourage them to engage in research and innovation in fields that are of immediate interest for humans."

Read more on Gunnar's author page!

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