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Rating: 
Summary: Set high standards
Review: This book is very exciting and motivating, as it sets high standards both with respect to the contents and the style.
It contains the main topics of modern math from the beginning, with applications to Computer Science: Sets, Relations, Logic, Numbers, Groups, Rings, Modules, Linear Algebra, Geometry, Quaternions.
The style is extremely compact, precise and readable, with a professional notation. The book is optimal designed (modularized)
which results in a moderate size (360 p.)
The objective of his approach is to provide a better formal competence for computer scientists by a sound mathematical education:
"Improved formal competence is urged by the object-oriented paradigm which progressively requires a programming style and a design strategy of high abstraction level in conceptual engineering."
The accompanying online course contains illustrations and animations, which at the moment don't go far beyond the book's contents.
Nevertheless, the online part has a great potential for further applications, e.g. programming projects (Moebius-Strip, Raytracing, 3D Stereo, ...)
We hope, this book will establish itself as a standard for ambitious schools and students.
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