| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2019W |
| Objectives |
In this lecture basic skills and techniques will be elaborated which are relevant to simplify formulas related to enumeration, in particular, to carry out the average and worst case complexity analysis of algorithms.
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| Subject |
The content of the lecture can be summarized by the following key words:
algorithmic treatment of formal power series
c-finite and holonomic functions/sequences
recurrence solving
basic aspects of asymptotics
symbolic summation
A major emphasis of the lecture is to present the basic notions, to develop the basic ideas of the underlying algorithms and to put computer algebra into action for concrete examples.
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| Criteria for evaluation |
oral exam
|
| Methods |
symbolic computation and in particular computer algebra, basic linear algebra, asymptotics
|
| Language |
English |
| Study material |
Many of the topics discussed in the lecture can be found in the book "Concrete Mathematics - A Foundation for Computer Science" by R.L.Graham, D.E.Knuth und O.Patashnik (Addison-Wesley, 1994) and "The Concrete Tetrahedron" by Manuel Kauers and Peter Paule (Springer Wien, 2011).
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| Changing subject? |
No |
| Corresponding lecture |
(*)TM1WHVOANKO: VO Analytische Kombinatorik (3 ECTS)
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