A Beginner’s Guide to Graph Theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Because of its wide applicability, graph theory is one of the fast-growing areas of modern mathematics. Graphs arise as mathematical models in areas as diverse as management science, chemistry, resource planning, and computing. Moreover, the theory of graphs provides a spectrum of methods of proof and is a good train ing ground for pure mathematics. Thus, many colleges and universities provide a first course in graph theory that is intended primarily for mathematics majors but accessible to other students at the senior Ievel. This text is intended for such a course. I have presented this course many times. Over the years classes have included mainly mathematics and computer science majors, but there have been several engineers and occasional psychologists as weil. Often undergraduate and graduate students are in the same dass. Many instructors will no doubt find themselves with similar mixed groups. lt is to be expected that anyone enrolling in a senior Ievel mathematics course will be comfortable with mathematical ideas and notation. In particular, I assume the reader is familiar with the basic concepts of set theory, has seen mathematical induction, and has a passing acquaintance with matrices and algebra. However, one cannot assume that the students in a first graph theory course will have a good knowledge of any specific advanced area. My reaction to this is to avoid too many specific prerequisites. The main requirement, namely a little mathematical maturity, may have been acquired in a variety of ways |
Beschreibung: | 1 Online-Ressource (XVIII, 230 p) |
ISBN: | 9781475731347 9781475731361 |
DOI: | 10.1007/978-1-4757-3134-7 |
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author | Wallis, W. D. |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4757-3134-7 |
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spelling | Wallis, W. D. Verfasser aut A Beginner’s Guide to Graph Theory by W. D. Wallis Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (XVIII, 230 p) txt rdacontent c rdamedia cr rdacarrier Because of its wide applicability, graph theory is one of the fast-growing areas of modern mathematics. Graphs arise as mathematical models in areas as diverse as management science, chemistry, resource planning, and computing. Moreover, the theory of graphs provides a spectrum of methods of proof and is a good train ing ground for pure mathematics. Thus, many colleges and universities provide a first course in graph theory that is intended primarily for mathematics majors but accessible to other students at the senior Ievel. This text is intended for such a course. I have presented this course many times. Over the years classes have included mainly mathematics and computer science majors, but there have been several engineers and occasional psychologists as weil. Often undergraduate and graduate students are in the same dass. Many instructors will no doubt find themselves with similar mixed groups. lt is to be expected that anyone enrolling in a senior Ievel mathematics course will be comfortable with mathematical ideas and notation. In particular, I assume the reader is familiar with the basic concepts of set theory, has seen mathematical induction, and has a passing acquaintance with matrices and algebra. However, one cannot assume that the students in a first graph theory course will have a good knowledge of any specific advanced area. My reaction to this is to avoid too many specific prerequisites. The main requirement, namely a little mathematical maturity, may have been acquired in a variety of ways Mathematics Combinatorics Mathematik Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-3134-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Wallis, W. D. A Beginner’s Guide to Graph Theory Mathematics Combinatorics Mathematik Graphentheorie (DE-588)4113782-6 gnd |
subject_GND | (DE-588)4113782-6 |
title | A Beginner’s Guide to Graph Theory |
title_auth | A Beginner’s Guide to Graph Theory |
title_exact_search | A Beginner’s Guide to Graph Theory |
title_full | A Beginner’s Guide to Graph Theory by W. D. Wallis |
title_fullStr | A Beginner’s Guide to Graph Theory by W. D. Wallis |
title_full_unstemmed | A Beginner’s Guide to Graph Theory by W. D. Wallis |
title_short | A Beginner’s Guide to Graph Theory |
title_sort | a beginner s guide to graph theory |
topic | Mathematics Combinatorics Mathematik Graphentheorie (DE-588)4113782-6 gnd |
topic_facet | Mathematics Combinatorics Mathematik Graphentheorie |
url | https://doi.org/10.1007/978-1-4757-3134-7 |
work_keys_str_mv | AT walliswd abeginnersguidetographtheory |