Die Autoren behandeln umfassend zentrale Themen der Informatik von Künstlichen Neuronalen Netzen, über Evolutionäre Algorithmen bis hin zu Fuzzy-Systemen und Bayes-Netzen. Denn: Der Anwendungsbereich ´´Computational Intelligence´´ erlangt durch viele erfolgreiche industrielle Produkte immer mehr an Bedeutung. Dieses Buch behandelt die zentralen Techniken dieses Gebiets und bettet sie in ein didaktisches Konzept ein, welches sich gezielt an Studierende und Lehrende der Informatik wendet. Für die vorliegende 2. Auflage des Buches wurden alle Themenbereiche überarbeitet, aktualisiert und zum Teil erweitert. Zusatzmaterialen wie Aufgaben, Lösungen und Foliensätze für Vorlesungen sowie Beispiele aus der industriellen Anwendung betonen den praktischen Charakter des Buches.
This is a book for computationalists, whether working programmers or anyone interested in methods of computation and algorithms. Where necessary, the underlying ideas are explained and the algorithms are formally presented. The C++ programming language is used for low-level algorithms, and there is only a minimal set of features beyond plain C. For material, where technicalities in the C++ code would obscure the underlying ideas, the author presents either pseudo-code or, with arithmetical algorithms, the GP language. Appendix C includes an introduction to GP. Example computations are mostly given with algorithms, some of them made with programs the author refers to. Various optimization techniques are described and the actual performance of many given implementations is indicated. The accompanying software, the FXT and the hfloat libraries, are written for POSIX-compliant platforms such as the Linux and BSD operating systems.
This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.
This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical. This is a book about Gröbner bases and their applications. It contains 3 chapters, 20 sections, 44 tutorials, 165 exercises, and numerous further amusements. It is going to help you bridge the gap between theoretical computer algebra and actual computation. We hope you will have as much fun reading it as the authors had writing it! From the reviews: ´´This is one of the most refreshing mathematical books I have ever held in my hands. This is academic teaching at its best; if I had not seen it, I would not have believed that it could be done so well.´´ (Hans Stetter, IMN - Internationale Mathematische Nachrichten 2003) ´´Every paragraph of the book shows how much the authors have enjoyed translating into printed matter the outcome of a long, large, deep and personal relation with computationally oriented commutative algebra. And the result is a non-standard, elementary and self-contained introduction to the theory of Gröbner bases and its applications.´´ (Laureano González-Vega and Tomás Recio, ACM SIGSAM Bulletin 2004) ´´The style of this book merits a comment. Each section begins with a quotation and an overview in which ´´Italian imagination overtakes German rigor´´. These introductions and the following main bodies of each section are well written, engaging and often amusing. The book is a pleasure to read.´´ (John Little, Mathematical Reviews 2001)