Combinatorics: ancient and modern:
Gespeichert in:
| Weitere beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford
Oxford University Press
2013
|
| Ausgabe: | 1. edition |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026163273&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026163273&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | x, 381 Seiten Illustrationen, Diagramme |
| ISBN: | 0199656592 9780199656592 9780198739050 |
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Datensatz im Suchindex
| _version_ | 1819264127614320640 |
|---|---|
| adam_text | CONTENTS
Part I Introduction
Two thousand years of combinatorics
3
Donald E.
Knuth
Part II Ancient Combinatorics
1.
Indian combinatorics
41
Takanori Kusuba and Kim Plofker
2.
China
65
Andrea Bréard
3.
Islamic combinatorics
83
Ahmed Djebbar
4.
Jewish combinatorics
109
Victor J. Katz
5.
Renaissance combinatorics
123
Eberhard Knobloch
6.
The origins of modern combinatorics
147
Eberhard Knobloch
7.
The arithmetical triangle
167
A. W. F. Edwards
Part III Modern Combinatorics
8.
Early graph theory
183
Robin Wilson
CONTENTS
І ІХ
9.
Partitions
205
George E. Andrews
10.
Block
designs
231
Norman
Biggs and
Robin
Wilson
11.
Latin squares
251
Lars D0Vling
Andersen
12.
Enumeration (18th-20th
centuries)
285
E.
Keith
Lloyd
13.
Combinatorial set theory
309
Ian Anderson
14.
Modern graph theory
331
Lowell Beineke and Robin Wilson
Part IV Aftermath
A personal view of combinatorics
355
Peter J. Cameron
Notes on contributors
367
Picture sources and acknowledgements
371
Index
377
CONTENTS
ALSO AVAILABLE FROM
OXFORD UNIVERSITY PRESS
Combinatorics, Complexity, and Chance
A Tribute to Dominic Welsh
Edited by Geoffrey Grimmett
and Colin McDiarmtd
Graph Theory
1736-1936
Norman
L
Biggs, E. Keith Lloyd,
and Robin J. Wilson
Taking Sudoku Seriously
The Math Behind the World s Most
Popular Pencil Puzzle
Jason Rosenhouse and Laura Taalman
Mathematics in Victorian Britain
Edited by Raymond Flood, Adrian Rice,
and Robin Wilson
The Emperor s New Mathematics
Western Learning and Imperial Authority
During the Kangxi Reign
(1662-1722)
Catherine
Jami
The Oxford Handbook of the History
of Mathematics
Edited by Eleanor Robson and
Jacqueline Stedall
Music and Mathematics
From Pythagoras to Fractals
Edited by John Fauvel, Raymond Flood,
and Robin Wilson
Robin Wilson is an Emeritus Professor
of Pure Mathematics at the Open University,
Emeritus Professor of Geometry at
Gresham
College, London, and a former Fellow of
Keble
College, Oxford. He is currently
President of the British Society for the
History of Mathematics. He has written
and edited over forty books, including
many on graph theory such as Introduction
to Graph Theory and Four Colours Suffice,
and on the history of mathematics such as
Lewis Carroll in Numberland. He is involved
with the popularization and communication
of mathematics and its history, and was
awarded the Mathematical Association
of America s Lester Ford and
Pólya
prizes
for Outstanding expository writing .
John J, Watkins is an Emeritus
Professor of Mathematics at Colorado
College, USA. He received his doctorate
from the University of Kansas, specializing
in commutative ring theory. His main
research interest, however, has been in
graph theory and he has published mainly
in this area, including many papers with
undergraduates as co-authors. He has
written several books, including Graphs:
An Introductory Approach, Across the Board:
The Mathematics of Chessboard Problems,
and Topics in Commutative Ring Theory,
and has recently finished his latest book,
Number Theory: A Historical Approach. In
2005
Colorado College presented John
Watkins with the Boettcher Award for
Faculty Excellence.
Who first presented Pascal s triangle? (It was not Pascal.)
Who first presented Hamiltonian graphs? (It was not Hamilton.)
Who first presented
Steiner
triple systems? (It was not
Steiner.)
The history of mathematics is a well-studied and vibrant area of research,
with books and scholarly articles published on various aspects of the subject.
Yet. the history of combinatorics seems to have been largely overlooked. This book
goes some way to redress this and serves two main purposes: it constitutes
the first book-length survey of the history of combinatorics, and it assembles,
for the first time in a single source, researches on the history of combinatorics
that would otherwise be inaccessible to the general reader.
Individual chapters have been contributed by sixteen experts. The book opens
with an introduction by Donald E.
Knuth
to two thousand years of combinatorics.
This is followed by seven chapters on early combinatorics, leading from Indian
and Chinese writings on permutations to late-Renaissance publications on the
arithmetical triangle. The next seven chapters trace the subsequent story, from
Euler s contributions to such wide-ranging topics as partitions, polyhedra,
and latin squares to the
20th-century
advances in combinatorial set theory,
enumeration, and graph theory. The book concludes with some combinatorial
reflections by the distinguished combinatorialist, Peter J. Cameron.
This book is not expected to be read from cover to cover, although it can be.
Rather, it aims to serve as a valuable resource to a variety of audiences.
Combinatorialists with little or no knowledge about the development of their
subject will find the historical treatment stimulating. A historian of mathematics
will view its assorted surveys as an encouragement for further research in
combinatorics. The more general reader will discover an introduction to a
fascinating and too little known subject that continues to stimulate and
inspire the work of scholars today.
In this masterful volume, the editors have brought together a wonderful and
far-ranging collection of chapters by distinguished authors
. . .
This is the first
time that such a compilation has been attempted and in the opinion of this
reader, it succeeds brilliantly.
Ronald Graham. Former President of the American Mathematical Society
and the Mathematical Association of America
Jacket illustration: Two orfhogonai ¡aim squares of order
10.
ISBN
978-0-19-965659-2
OXPORD
UNIVHRSITY PRESS
780199
656592
www.oup.com
|
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| discipline | Mathematik |
| edition | 1. edition |
| era | Geschichte 1000-2000 gnd |
| era_facet | Geschichte 1000-2000 |
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| isbn | 0199656592 9780199656592 9780198739050 |
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| publishDate | 2013 |
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| spellingShingle | Combinatorics: ancient and modern Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4031824-2 (DE-588)4143413-4 |
| title | Combinatorics: ancient and modern |
| title_auth | Combinatorics: ancient and modern |
| title_exact_search | Combinatorics: ancient and modern |
| title_full | Combinatorics: ancient and modern edited by Robin Wilson and John J. Watkins |
| title_fullStr | Combinatorics: ancient and modern edited by Robin Wilson and John J. Watkins |
| title_full_unstemmed | Combinatorics: ancient and modern edited by Robin Wilson and John J. Watkins |
| title_short | Combinatorics: ancient and modern |
| title_sort | combinatorics ancient and modern |
| topic | Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Kombinatorik Aufsatzsammlung |
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