page (and several pounds heavy) book for graduate students to learn about counting, but Martin Aigner’s A Course in Enumeration is exactly. A course in enumeration by Martin Aigner, Springer, pages, hardcover, Published by ACM Article. Review. Bibliometrics Data. A Course in Enumeration is a glorious survey of key topics in one of the most engaging areas of mathematics, enumerative combinatorics. One of the appealing.

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Sai Prasanna Kumar Malladi marked it as to-read Apr 01, I would, however, not recommend it for someone who is going courde use it only without any other material because the excercises are a lot tougher.

Chapter two then covers formal series, infinite sums and matrices, and connections to probability generating functions and random walks. A nice trend in recent books – closing chapters with some spectacular ‘book proofs’ – is followed and will help at keeping the attention of the students.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems.

A Course in Enumeration

Overall, its a good book for graduate students and z doctoral students who need a serious refresher in combinatorics. Quantum Theory for Mathematicians Brian C. Riemannian Geometry Peter Petersen. To aignre what your friends thought of this book, please sign up.

Solutions to Selected Exercises. Chapter eight explores symmetric polynomials and functions, building up to the RSK algorithm, “a remarkable combinatorial correspondence between integer matrices and pairs of semistandard tableaux”. Formal Series and Infinite Matrices.


A Course in Enumeration – Martin Aigner – Google Books

Commutative Algebra David Eisenbud. Yaser Sulaiman marked it as to-read Enujeration 20, Mathematical Methods of Classical Mechanics V. Refresh and try again. Jeffrey Milloy added it Oct 18, This book moves this important technique much closer to the classrooms than it used to be. Basics, Methods, q Topics. Chapter four, on hypergeometric summation, feels like something of a digression and could easily be skipped.

A Course in Enumeration doesn’t assume much, only basic linear algebra, calculus, probability, group theory, and so forth. A Course in Enumeration.

May 15, James Swenson rated it really liked it. Other books in this series. Each chapter also ends with a ‘highlight’, tackling a famous and attractive problem using the tools developed.

This book is not yet featured on Enmueration.

Return to Book Page. The scope of the book is large, so most readers will find several sections that will teach cours many facts, methods and theories. The presentations aiger ideas and proofs have the kind of clarity and luminousness which makes one feel, after reading them, that they are the natural if not the only ones. There are almost seven hundred problems in A Course in Enumerationwith a set accompanying each section, divided into easier and harder; solutions, or at least sufficient hints, are given for around a quarter of them.


To give just a few examples: I think it would be a good There are no discussion topics on this book yet. Table of contents Basics. Lists with This Book. The arguments throughout the book are very clear, many exercises are presented Some problems like this can be solved using only simple methods, though the solutions may be hard to find, but A Course in Enumeration develops tools that allow them to be solved systematically and generally.

A Course in Enumeration (Martin Aigner) – book review

Books by Martin Aigner. Models from Statistical Physics.

Basics, Methods, and Topics. Thanks for telling us about the problem. New Identities from Old. Riemannian Manifolds John M. The book is organized in three parts: Chapter three explores the use of generating functions, in solving recurrences and evaluating sums, in capturing connected “substructure” through composition, and in studying number partitions.

Arun marked it as to-read Jul 24, We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Martin Aigner has a reputation as a good expositor of mathematics Be the first to ask a question about A Course in Enumeration.