Combinatorics

  • Combinatorics: Ancient & Modern
    By John J. Watkins, Ronald Graham

    In the above 83 graph, the eight edges a–1, b–4, c–7, d–2, e–5, f–6, g–3, h–8 form a 1-factor, and give the first row of ... It has come to be known as Hall's theorem, and the above condition as Hall's condition, although it is closely ...

  • Combinatorics: A Guided Tour
    By David R. Mazur

    This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ...

  • Combinatorics: A Guided Tour
    By David R. Mazur

    5 6 7 8 1 2 3 4 Each numbered square can be colored red, blue, or green. ... (c) How many different colorings have at least one green square? ... P ́olya's enumeration theorem is sometimes called the P ́olya-Redfield theorem.

  • Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices
    By A. P. Street, W. D. Wallis, J. S. Wallis

    Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices

  • Combinatorics: Ancient & Modern
    By Robin Wilson, John J. Watkins

    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.

  • Combinatorics: Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability
    By Bela Bollobas

    The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures.

  • Combinatorics: The Art of Counting
    By Bruce E. Sagan

    This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level.

  • Combinatorics: Topics, Techniques, Algorithms
    By Peter J. Cameron

    Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates.

  • Combinatorics: A Very Short Introduction
    By Robin J. Wilson

    ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly.

  • Combinatorics: Ancient & Modern
    By Robin Wilson, John J. Watkins, Senior Lecturer Faculty of Mathematics Robin Wilson

    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.

  • Combinatorics: Ancient & Modern
    By Robin J. Wilson, John J. Watkins

    This book presents a survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.

  • Combinatorics: Ancient & Modern
    By Robin Wilson, John J. Watkins

    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.

  • Combinatorics
    By Nicholas Loehr

    This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool.

  • Combinatorics: An Introduction
    By Theodore G. Faticoni

    This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics.

  • Combinatorics: A Problem-Based Approach
    By Pavle Mladenović

    This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, ...

  • Combinatorics
    By Russell Merris

    A mathematical gem–freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a ...

  • Combinatorics: A Guided Tour
    By David R. Mazur

    This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ...

  • Combinatorics: An Invitation
    By Straight

    Combinatorics: An Invitation

  • Combinatorics: An Invitation
    By H. Joseph Straight

    Combinatorics: An Invitation

  • Combinatorics
    By N. Ya. Vilenkin

    ... sequences. The reason for this is that the first k elements can be assigned in an arbitrary manner, for they are not restricted by any relations whatsoever. On ... sequence f(n) = 134 VI. Recurrence Relations Solution of Recurrence Relations.