| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR. FCT 94602 (Browse shelf) | 1 | Available |
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| QA273.SPR. FCT 94591 Advances in distribution theory, order statistics, and inference | HB539.SPR. FCT 94600 Interest rate models | QA164.SPR. FCT 94601 Error-correcting linear codes | QA564.SPR. FCT 94602 Algorithms in real algebraic geometry | QA303.SPR. FCT 94606 A course in calculus and real analysis | Q180.SPR. FCT 94608 Scientific visualization | QA641.SPR. FCT 94610 Effective computational geometry for curves and surfaces |
Colocação: Online
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This revised second edition contains several recent results, notably on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number. An index of notation has also been added.
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