Based on the author s course at NYU, Linear Algebra and
Probability for Computer Science Applications" "gives an
introduction to two mathematical fields that are fundamental in
many areas of computer science. The course and the text are
addressed to students with a very weak mathematical background.
Most of the chapters discuss relevant MATLAB(r) functions and
features and give sample assignments in MATLAB; the author s
website provides the MATLAB code from the book.
After an introductory chapter on MATLAB, the text is divided
into two sections. The section on linear algebra gives an
introduction to the theory of vectors, matrices, and linear
transformations over the reals. It includes an extensive discussion
on Gaussian elimination, geometric applications, and change of
basis. It also introduces the issues of numerical stability and
round-off error, the discrete Fourier transform, and singular value
decomposition. The section on probability presents an introduction
to the basic theory of probability and numerical random variables;
later chapters discuss Markov models, Monte Carlo methods,
information theory, and basic statistical techniques. The focus
throughout is on topics and examples that are particularly relevant
to computer science applications; for example, there is an
extensive discussion on the use of hidden Markov models for tagging
text and a discussion of the Zipf (inverse power law)
distribution.
"
Examples and Programming Assignments"
The examples and programming assignments focus on computer science
applications. The applications covered are drawn from a range of
computer science areas, including computer graphics, computer
vision, robotics, natural language processing, web search, machine
learning, statistical analysis, game playing, graph theory,
scientific computing, decision theory, coding, cryptography,
network analysis, data compression, and signal processing.
"
Homework Problems
"Comprehensive problem sections include traditional calculation
exercises, thought problems such as proofs, and programming
assignments that involve creating MATLAB functions.
General
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