A Course in Combinatorics and Graphs
This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at the Universitat Politècnica de Catalunya, including topics in enumerative combinatorics, finite geometry, and graph theory. This text covers a single-semester course and is aimed...
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| 主要な著者: | , |
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| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| 版: | 1st ed. 2024. |
| シリーズ: | Compact Textbooks in Mathematics,
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-55384-4 |
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| 001 | 978-3-031-55384-4 | ||
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| 072 | 7 | |a PBD |2 thema | |
| 082 | 0 | 4 | |a 511.1 |2 23 |
| 100 | 1 | |a Ball, Simeon. |e author. |0 (orcid)0000-0003-4845-2084 |1 https://orcid.org/0000-0003-4845-2084 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Course in Combinatorics and Graphs |h [electronic resource] / |c by Simeon Ball, Oriol Serra. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a 1 online resource (XI, 172 p. 86 illus.). |b 10 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 505 | 0 | |a Preface -- Chapter 1 Symbolic Enumeration -- Chapter 2 Labelled enumeration -- Chapter 3 Enumeration with symmetries -- Chapter 4 Finite Geometries and Latin Squares -- Chapter 5 Matchings -- Chapter 6 Connectivity -- Chapter 7 Planarity -- Chapter 8 Graph Colouring -- Chapter 9 Extremal Graph Theory -- Chapter10 Hints and solutions to selected exercises -- Bibliography. | |
| 520 | |a This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at the Universitat Politècnica de Catalunya, including topics in enumerative combinatorics, finite geometry, and graph theory. This text covers a single-semester course and is aimed at advanced undergraduates and masters-level students. Each chapter is intended to be covered in 6-8 hours of classes, which includes time to solve the exercises. The text is also ideally suited for independent study. Some hints are given to help solve the exercises and if the exercise has a numerical solution, then this is given. The material covered allows the reader with a rudimentary knowledge of discrete mathematics to acquire an advanced level on all aspects of combinatorics, from enumeration, through finite geometries to graph theory. The intended audience of this book assumes a mathematical background of third-year students in mathematics, allowing for a swifter use of mathematical tools in analysis, algebra, and other topics, as these tools are routinely incorporated in contemporary combinatorics. Some chapters take on more modern approaches such as Chapters 1, 2, and 9. The authors have also taken particular care in looking for clear concise proofs of well-known results matching the mathematical maturity of the intended audience. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Geometry. | |
| 650 | 1 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Geometry. |
| 700 | 1 | |a Serra, Oriol. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031553837 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031553851 |
| 830 | 0 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-55384-4 |
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| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||