- Paperback: 448 pages
- Publisher: Dover Publications (Jun 17 2010)
- Language: English
- ISBN-10: 0486474399
- ISBN-13: 978-0486474397
- Product Dimensions: 21.3 x 13.5 x 2.3 cm
- Shipping Weight: 454 g
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Amazon Bestsellers Rank:
#368,199 in Books (See Top 100 in Books)
- #44 in Books > Science > Mathematics > Pure Mathematics > Set Theory
- #80 in Books > Science > Mathematics > Pure Mathematics > Combinatorics
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Product Details |
Product Description
Product Description
The theory of matroids connects disparate branches of combinatorial theory and algebra such as graph and lattice theory, combinatorial optimization, and linear algebra. This text describes standard examples and investigation results, and it uses elementary proofs to develop basic matroid properties before advancing to a more sophisticated treatment. 1976 edition.
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9 of 10 people found the following review helpful
5.0 out of 5 stars
The classic text on the subject, Jun 4 2010
By Timothy Chow - Published on Amazon.com
Ce commentaire est de: Matroid Theory (Paperback)
After a long period of being out of print, Welsh's classic text is now available again in a very affordable Dover edition. This is great news, not only for specialists in matroid theory but also for researchers in graph theory, combinatorial optimization, and combinatorial differentiable geometry, all of which use matroids.Those contemplating buying this book may want to know how it differs from other texts on the subject. The closest book is Oxley's. Oxley himself explains the difference in his introduction: "[Welsh's book] appeared during my second year at Oxford and it has been my constant companion ever since. When I contemplated writing this book, the first question I had to answer was how should it differ from Welsh's book. This book attempts to blend Welsh's very graph-theoretic approach to matroids with the geometric approach of Rota's school that I learnt from Brylawski. Unfortunately, I cannot emulate Welsh's feat of providing, in a single volume, a complete survey of the current state of knowledge in matroid theory; the subject has grown too much. Therefore I have had to be selective. While the basic topics virtually select themselves, the more advanced topics covered here reflect my own research interests."
While there is some overlap between the two books, Welsh's book contains a lot of material not available elsewhere. Two examples that come to mind immediately (because I had reason to look them up recently) are the topics of base-orderability and of strong and weak maps, but there are many others. Welsh's book is indispensable and it is a credit to Dover Press that they recognize its continuing value to this active area of current mathematical research.
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