Latin Squares and Their Applications

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Publisher : Elsevier
ISBN 13 : 0444635580
Total Pages : 443 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Latin Squares and Their Applications by : A. Donald Keedwell

Download or read book Latin Squares and Their Applications written by A. Donald Keedwell and published by Elsevier. This book was released on 2015-07-28 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Latin Squares and Their Applications, Second edition offers a long-awaited update and reissue of this seminal account of the subject. The revision retains foundational, original material from the frequently-cited 1974 volume but is completely updated throughout. As with the earlier version, the author hopes to take the reader 'from the beginnings of the subject to the frontiers of research'. By omitting a few topics which are no longer of current interest, the book expands upon active and emerging areas. Also, the present state of knowledge regarding the 73 then-unsolved problems given at the end of the first edition is discussed and commented upon. In addition, a number of new unsolved problems are proposed. Using an engaging narrative style, this book provides thorough coverage of most parts of the subject, one of the oldest of all discrete mathematical structures and still one of the most relevant. However, in consequence of the huge expansion of the subject in the past 40 years, some topics have had to be omitted in order to keep the book of a reasonable length. Latin squares, or sets of mutually orthogonal latin squares (MOLS), encode the incidence structure of finite geometries; they prescribe the order in which to apply the different treatments in designing an experiment in order to permit effective statistical analysis of the results; they produce optimal density error-correcting codes; they encapsulate the structure of finite groups and of more general algebraic objects known as quasigroups. As regards more recreational aspects of the subject, latin squares provide the most effective and efficient designs for many kinds of games tournaments and they are the templates for Sudoku puzzles. Also, they provide a number of ways of constructing magic squares, both simple magic squares and also ones with additional properties. - Retains the organization and updated foundational material from the original edition - Explores current and emerging research topics - Includes the original 73 'Unsolved Problems' with the current state of knowledge regarding them, as well as new Unsolved Problems for further study

Combinatorial Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 161444014X
Total Pages : 172 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Combinatorial Mathematics by : Herbert John Ryser

Download or read book Combinatorial Mathematics written by Herbert John Ryser and published by American Mathematical Soc.. This book was released on 1963-12-31 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.

CRC Handbook of Combinatorial Designs

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Publisher : CRC Press
ISBN 13 : 9781420049954
Total Pages : 778 pages
Book Rating : 4.0/5 (499 download)

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Book Synopsis CRC Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:

Notes on Counting: An Introduction to Enumerative Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 1108417361
Total Pages : 235 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Notes on Counting: An Introduction to Enumerative Combinatorics by : Peter J. Cameron

Download or read book Notes on Counting: An Introduction to Enumerative Combinatorics written by Peter J. Cameron and published by Cambridge University Press. This book was released on 2017-06-29 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.

Discrete Mathematics Using Latin Squares

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Publisher : John Wiley & Sons
ISBN 13 : 9780471240648
Total Pages : 336 pages
Book Rating : 4.2/5 (46 download)

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Book Synopsis Discrete Mathematics Using Latin Squares by : Charles F. Laywine

Download or read book Discrete Mathematics Using Latin Squares written by Charles F. Laywine and published by John Wiley & Sons. This book was released on 1998-09-17 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, research in the theory of Latin Squares has been growing at a fast pace, and new significant developments have taken place. This book offers a unique approach to various areas of discrete mathematics through the use of Latin Squares.

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Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1131 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 1131 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Matrix Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521322652
Total Pages : 384 pages
Book Rating : 4.3/5 (226 download)

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Book Synopsis Combinatorial Matrix Theory by : Richard A. Brualdi

Download or read book Combinatorial Matrix Theory written by Richard A. Brualdi and published by Cambridge University Press. This book was released on 1991-07-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves.

Computing the Continuous Discretely

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Publisher : Springer
ISBN 13 : 1493929690
Total Pages : 295 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Computing the Continuous Discretely by : Matthias Beck

Download or read book Computing the Continuous Discretely written by Matthias Beck and published by Springer. This book was released on 2015-11-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device. The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: “You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.” — MAA Reviews “The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.” — Zentralblatt MATH “This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.” — Mathematical Reviews “Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.” — CHOICE

Latin Squares

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Publisher : Elsevier
ISBN 13 : 0080867863
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Latin Squares by : József Dénes

Download or read book Latin Squares written by József Dénes and published by Elsevier. This book was released on 1991-01-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written.The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.

Combinatory Analysis

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4./5 ( download)

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Book Synopsis Combinatory Analysis by :

Download or read book Combinatory Analysis written by and published by CUP Archive. This book was released on with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Combinatorial Analysis

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Publisher : Princeton University Press
ISBN 13 : 1400854334
Total Pages : 257 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis An Introduction to Combinatorial Analysis by : John Riordan

Download or read book An Introduction to Combinatorial Analysis written by John Riordan and published by Princeton University Press. This book was released on 2014-07-14 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Combinatory Analysis

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Publisher : Courier Corporation
ISBN 13 : 9780486495866
Total Pages : 770 pages
Book Rating : 4.4/5 (958 download)

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Book Synopsis Combinatory Analysis by : Percy A. MacMahon

Download or read book Combinatory Analysis written by Percy A. MacMahon and published by Courier Corporation. This book was released on 2004-07-06 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.

Bulletin of Mathematical Statistics

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bulletin of Mathematical Statistics by :

Download or read book Bulletin of Mathematical Statistics written by and published by . This book was released on 1952 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1967 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Conversations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461301955
Total Pages : 486 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Conversations by : Robin Wilson

Download or read book Mathematical Conversations written by Robin Wilson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.

Advanced Combinatorics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401021961
Total Pages : 353 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Advanced Combinatorics by : Louis Comtet

Download or read book Advanced Combinatorics written by Louis Comtet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Certain classical aspects have been passed by, and the true title ought to be "Various questions of elementary combina torial analysis". For instance, we only touch upon the subject of graphs and configurations, but there exists a very extensive and good literature on this subject. For this we refer the reader to the bibliography at the end of the volume. The true beginnings of combinatorial analysis (also called combina tory analysis) coincide with the beginnings of probability theory in the 17th century. For about two centuries it vanished as an autonomous sub ject. But the advance of statistics, with an ever-increasing demand for configurations as well as the advent and development of computers, have, beyond doubt, contributed to reinstating this subject after such a long period of negligence. For a long time the aim of combinatorial analysis was to count the different ways of arranging objects under given circumstances. Hence, many of the traditional problems of analysis or geometry which are con cerned at a certain moment with finite structures, have a combinatorial character. Today, combinatorial analysis is also relevant to problems of existence, estimation and structuration, like all other parts of mathema tics, but exclusively forjinite sets.

Combinatoire enumerative

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Publisher : Springer
ISBN 13 : 3540474021
Total Pages : 401 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Combinatoire enumerative by : Gilbert Labelle

Download or read book Combinatoire enumerative written by Gilbert Labelle and published by Springer. This book was released on 2006-11-12 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: