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Combinatorial Theory (Classics in Mathematics), by Martin Aigner
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This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen
- Sales Rank: #2513523 in eBooks
- Published on: 1997-02-25
- Released on: 1979-09-17
- Format: Kindle eBook
Review
From the reviews: "This book presents a very good introduction to combinatorics. It covers most aspects of enumeration and order theory,... It is divided into three parts. The first part presents the basic material on mappings and posets... The second part deals with enumeration ... Finally the third part treats of the order-theoretic aspects ... In the text examples are given and at the end of each chapter valuable notes, also very good selected exercises. They constitute an organic part of the book. This book can warmly be recommended first of all to students interested in combinatorics. A two semester course can also be based on it."
Publicationes Mathematicae Debrecen
From the Back Cover
Reihentext + Combinatorial Theory From the reviews: "This book presents a very good introduction to combinatorics. It covers most aspects of enumeration and order theory,... It is divided into three parts. The first part presents the basic material on mappings and posets... The second part deals with enumeration ... Finally the third part treats of the order-theoretic aspects ... In the text examples are given and at the end of each chapter valuable notes, also very good selected exercises. They constitute an organic part of the book. This book can warmly be recommended first of all to students interested in combinatorics. A two semester course can also be based on it." (Publicationes Mathematicae Debrecen)
About the Author
Biography of Martin Aigner
Martin Aigner received his Ph.D. in Mathematics in 1965 from the University of Vienna. He then spent five years in the United States, the last two at the University of North Carolina at Chapel Hill where he was introduced to the combinatorial world (which he has never left since) by G. C. Rota and the late R. C. Bose. After extensive travels he returned to Europe and spent three years at the University of Tübingen with a senior fellowship of the German Science Foundation. Since 1974 he has been a Professor of Mathematics at the Free University of Berlin.
Martin Aigner has published in various fields of combinatorics and graph theory and is the author of several monographs on discrete mathematics, graph theory and the theory of search.
Most helpful customer reviews
18 of 18 people found the following review helpful.
Bringing dignity to enumerative combinatorics
By Jose Berlin
Along with statistics, combinatorics is one of the most maligned fields of mathematics. Often it is not even considered a field in its own right but merely a grab-bag of disparate tricks to be exploited by other, nobler endeavours. Where is the glory in simply counting things? This book goes a long way towards shattering these old stereotypes. By unifying enumerative combinatorics under a strong algebraic framework, Aigner finally bestows upon the humble act of counting the respect it so surely deserves.
At first, it may be somewhat trying to make sense of his presentation as he reworks familiar results in this algebraic view. Often, I was left wondering why it is necessary to go through the trouble of all these high-powered techniques just to obtain results we've already obtained through much simpler means. However, as I progressed through the chapters, it became clear that the only consistent way to tackle the truly difficult problems in enumeration was with these algebraic tools.
If you are serious about combinatorics or merely interested in what combinatorics has to offer, this volume is certainly a valuable addition to your library.
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