Textbooks written by CAS Faculty Members
We are proud to announce that Dr. Jan Modersitzki and Dr. Michael Soltys have each written some books:
An Introduction to Computational Complexity (Dr. Soltys)
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This book is a quick introduction, at a graduate level, to the field of computational complexity. It aims at presenting a collection of classical results in the field, rather than a comprehensive overview of complexity. It includes chapters on circuit complexity, proof complexity (a subfield of complexity that is rarely presented in similar textbooks) and randomized algorithms.
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FAIR: Flexible Algorithms for Image Registration (Dr. Modersitzki)
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Whenever images taken at different times, from different viewpoints, and/or by different sensors need to be compared, merged, or integrated, image registration is required. |
For more information click here.
This is the second book written by Dr. Modersitzki on the topic of image registration, his first book has the title: "Numerical Methods for Image Registration" (see here)
An Introduction to the Analysis of Algorithms (Dr. Soltys)
This textbook covers the mathematical foundations of the analysis of algorithms. The gist of the book is how to argue, without the burden of excessive formalism, that a given algorithm does what it is supposed to do. The two key ideas of the proof of correctness, induction and invariance, are employed in the framework of pre/post-conditions and loop invariants. The algorithms considered are the basic and traditional algorithms of computer science, such as Greedy, Dynamic and Divide & Conquer. In addition, two classes of algorithms that rarely make it into introductory textbooks are discussed. Randomized algorithms, which are now ubiquitous because of their applications to cryptography; and Online algorithms, which are essential in fields as diverse as operating systems and stock-market predictions. This self-contained book is intended for undergraduate students in computer science and mathematics.
The book can be ordered here.