A primer in combinatorics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
2010
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| Series: | De Gruyter textbook
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| Subjects: | |
| Online Access: | DE-188 Volltext Volltext |
| Item Description: | This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems. Theorems then are formulated, proved and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, application to probability theory, introduction to graphs and trees with application to hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The text systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of the students' errors; it is demonstrated in the text on many examples. The textbook is suitable for undergraduate and entry-level graduate students of mathematics and computer science, lecturers in these fields, and anyone studying combinatorial methods and graphical models for solving various problems. The book contains more than 700 problems and can be used as a reading and problem book for an independent study seminar or self-education. Alexander Kheyfits, City University of New York, USA. |
| Physical Description: | 1 Online-Ressource (X, 323 S.) graph. Darst. |
| ISBN: | 9783110226744 |
| DOI: | 10.1515/9783110226744 |
Staff View
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| discipline | Mathematik |
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| indexdate | 2025-02-19T17:39:36Z |
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| isbn | 9783110226744 |
| language | English |
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| spelling | Kheyfits, Alexander Verfasser (DE-588)1243457554 aut A primer in combinatorics Alexander Kheyfits Berlin [u.a.] de Gruyter 2010 1 Online-Ressource (X, 323 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier De Gruyter textbook This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems. Theorems then are formulated, proved and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, application to probability theory, introduction to graphs and trees with application to hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The text systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of the students' errors; it is demonstrated in the text on many examples. The textbook is suitable for undergraduate and entry-level graduate students of mathematics and computer science, lecturers in these fields, and anyone studying combinatorial methods and graphical models for solving various problems. The book contains more than 700 problems and can be used as a reading and problem book for an independent study seminar or self-education. Alexander Kheyfits, City University of New York, USA. Combinatorial analysis Textbooks Graph theory Textbooks Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-3-11-022673-7 (DE-604)BV036503600 https://doi.org/10.1515/9783110226744 Verlag Volltext http://www.degruyter.com/doi/book/10.1515/9783110226744 Verlag Volltext |
| spellingShingle | Kheyfits, Alexander A primer in combinatorics Combinatorial analysis Textbooks Graph theory Textbooks Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4031824-2 |
| title | A primer in combinatorics |
| title_auth | A primer in combinatorics |
| title_exact_search | A primer in combinatorics |
| title_full | A primer in combinatorics Alexander Kheyfits |
| title_fullStr | A primer in combinatorics Alexander Kheyfits |
| title_full_unstemmed | A primer in combinatorics Alexander Kheyfits |
| title_short | A primer in combinatorics |
| title_sort | a primer in combinatorics |
| topic | Combinatorial analysis Textbooks Graph theory Textbooks Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Combinatorial analysis Textbooks Graph theory Textbooks Kombinatorik |
| url | https://doi.org/10.1515/9783110226744 http://www.degruyter.com/doi/book/10.1515/9783110226744 |
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