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Author : D. F. Hsu
Publisher : Springer
ISBN 13 : 3540383263
Total Pages : 236 pages
Book Rating : 4.5/5 (43 download)
Download or read book Cyclic Neofields and Combinatorial Designs written by D. F. Hsu and published by Springer. This book was released on 2006-11-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Derbiau Frank Hsu
Publisher :
ISBN 13 : 9780387102276
Total Pages : 170 pages
Book Rating : 4.1/5 (22 download)
Download or read book Cyclic Neofields and Combinatorial Designs written by Derbiau Frank Hsu and published by . This book was released on 1980 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 1420010549
Total Pages : 1011 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence
Author : Anthony B. Evans
Publisher : Springer
ISBN 13 : 3540475419
Total Pages : 120 pages
Book Rating : 4.5/5 (44 download)
Download or read book Orthomorphism Graphs of Groups written by Anthony B. Evans and published by Springer. This book was released on 2006-11-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about orthomorphisms and complete mappings of groups, and related constructions of orthogonal latin squares. It brings together, for the first time in book form, many of the results in this area. The aim of this book is to lay the foundations for a theory of orthomorphism graphsof groups, and to encourage research in this area. To this end, many directions for future research are suggested. The material in this book should be accessible to any graduate student who has taken courses in algebra (group theory and field theory). It will mainly be useful in research on combinatorial design theory, group theory and field theory.
Author : Anthony B. Evans
Publisher : Springer
ISBN 13 : 3319944304
Total Pages : 537 pages
Book Rating : 4.3/5 (199 download)
Download or read book Orthogonal Latin Squares Based on Groups written by Anthony B. Evans and published by Springer. This book was released on 2018-08-17 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. Its focus is on orthomorphisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings. From there, it describes the existence problem for complete mappings of groups, building up to the proof of the Hall–Paige conjecture. The third part presents a comprehensive study of orthomorphism graphs of groups, while the last part provides a discussion of Cartesian projective planes, related combinatorial structures, and a list of open problems. Expanding the author’s 1992 monograph, Orthomorphism Graphs of Groups, this book is an essential reference tool for mathematics researchers or graduate students tackling latin square problems in combinatorics. Its presentation draws on a basic understanding of finite group theory, finite field theory, linear algebra, and elementary number theory—more advanced theories are introduced in the text as needed.
Author : L. R. A. Casse
Publisher : Springer
ISBN 13 : 3540386947
Total Pages : 431 pages
Book Rating : 4.5/5 (43 download)
Download or read book Combinatorial Mathematics X written by L. R. A. Casse and published by Springer. This book was released on 2006-11-14 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : József Dénes
Publisher : Elsevier
ISBN 13 : 0080867863
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)
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.
Author : D. Jungnickel
Publisher : Springer
ISBN 13 : 3540393803
Total Pages : 335 pages
Book Rating : 4.5/5 (43 download)
Download or read book Combinatorial Theory written by D. Jungnickel and published by Springer. This book was released on 2006-11-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald Solomon
Publisher : World Scientific
ISBN 13 : 9814553034
Total Pages : 350 pages
Book Rating : 4.8/5 (145 download)
Download or read book Group Theory - Proceedings Of The Biennial Ohio State - Denison Conference written by Ronald Solomon and published by World Scientific. This book was released on 1993-09-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of invited papers on the theory of groups, most of which were presented at the biennial Ohio State-Denison Conference, May 1992, in memory of Hans Zassenhaus. These papers treat important topics in the theory of p-groups, solvable groups, finitely presented groups, arithmetic groups, monodromy groups and the general structure and representation theory of groups. Of particular note are papers by John Walter on root systems, by Leonard Scott on integral equivalence of permutation representations and Alex Turull on generalized Brauer groups.
Author : Charles J. Colbourn
Publisher : Oxford University Press
ISBN 13 : 9780198535768
Total Pages : 582 pages
Book Rating : 4.5/5 (357 download)
Download or read book Triple Systems written by Charles J. Colbourn and published by Oxford University Press. This book was released on 1999 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the simplest combinatorial designs, triple systems have diverse applications in coding theory, cryptography, computer science, and statistics. This book provides a systematic and comprehensive treatment of this rich area of mathematics.
Author : A. Donald Keedwell
Publisher : Elsevier
ISBN 13 : 0444635580
Total Pages : 443 pages
Book Rating : 4.4/5 (446 download)
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
Author : Daniel Dugue
Publisher : Springer
ISBN 13 : 3540367853
Total Pages : 197 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analytical Methods in Probability Theory written by Daniel Dugue and published by Springer. This book was released on 2006-11-14 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. P. Havin
Publisher : Springer
ISBN 13 : 3540386262
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)
Download or read book Complex Analysis and Spectral Theory written by V. P. Havin and published by Springer. This book was released on 2006-12-08 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. N. Everitt
Publisher : Springer
ISBN 13 : 354038538X
Total Pages : 403 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ordinary and Partial Differential Equations written by W. N. Everitt and published by Springer. This book was released on 2006-11-15 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Hurd
Publisher : Springer
ISBN 13 : 3540379282
Total Pages : 361 pages
Book Rating : 4.5/5 (43 download)
Download or read book Victoria Symposium on Nonstandard Analysis written by A. Hurd and published by Springer. This book was released on 2006-11-15 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marvin I. Knopp
Publisher : Springer
ISBN 13 : 3540389539
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analytic Number Theory written by Marvin I. Knopp and published by Springer. This book was released on 2006-11-14 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Keith Dennis
Publisher : Springer
ISBN 13 : 3540395563
Total Pages : 421 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algebraic K — Theory written by R. Keith Dennis and published by Springer. This book was released on 2006-11-15 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt:
