This book emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). The volume provides a complete examination of combinatorial ideas and techniques. For individuals interested in combinatorial concepts.

Introductory Combinatorics

Computers & Technology

Brualdi, Richard A.

Computer Science

Pearson College Div

Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. A valuable book for any reader interested in learning more about combinatorics.

Introductory Combinatorics (3rd Edition)

Science & Math

Mathematics

Appropriate for one- or two-semester, junior- to senior-level combinatorics courses. This trusted best-seller covers the key combinatorial ideas–including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, combinatortial structures (matchings, designs, graphs), and flows in networks. The Fifth Edition incorporates feedback from users to the exposition throughout and adds a wealth of new exercises.

Introductory Combinatorics (5th Edition)

Pearson

Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs).Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised.

Introductory combinatorics

North-Holland

Matrices of Sign-Solvable Linear Systems (Cambridge Tracts in Mathematics, Series Number 116)

In a sign-solvable linear system, the signs of the coefficients determine the signs of some entries in the solution. This type of system is part of a larger study that helps researchers understand if properties of a matrix can be determined from combinatorial arrangements of its elements. In this book, the authors present the diffuse body of literature on sign-solvability as a coherent whole for the first time, giving many new results and proofs and establishing many new connections. Brualdi and Shader describe and comment on algorithms implicit in many of the proofs and their complexity. The book is self-contained, assuming familiarity only with elementary linear algebra and graph theory. Intended primarily for researchers in combinatorics and linear algebra, it should also be of interest to computer scientists, economists, physicists, chemists, and engineers.

Shader, Bryan L.

Cambridge University Press

The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic characterizations of combinatorical properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jorda Canonical Form.

Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)

Reference

Ryser, Herbert J.

Encyclopedias & Subject Guides

Here Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book will be helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Combinatorial Matrix Classes (Encyclopedia of Mathematics and its Applications, Series Number 108)

Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications, 39)

See the best price to sell, buy, or rent books by Brualdi, Richard A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Brualdi, Richard A.

See the best price to sell, buy, or rent books by Brualdi, Richard A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Introductory Combinatorics

Introductory Combinatorics (3rd Edition)

Introductory Combinatorics (5th Edition)

Introductory combinatorics

Matrices of Sign-Solvable Linear Systems (Cambridge Tracts in Mathematics, Series Number 116)

Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)

Matrices of Sign-Solvable Linear Systems (Cambridge Tracts in Mathematics, Series Number 116)

Combinatorial Matrix Classes (Encyclopedia of Mathematics and its Applications, Series Number 108)

Introductory combinatorics

Combinatorial Matrix Theory (Encyclopedia of Mathematics and Its Applications, 39)