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Author : Robert A. Morris
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (44 download)
Download or read book Umbral Calculus and Hopf Algebras written by Robert A. Morris and published by . This book was released on 1982 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780821875926
Total Pages : 84 pages
Book Rating : 4.8/5 (759 download)
Download or read book Umbral Calculus and Hopf Algebras written by and published by . This book was released on 1982 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher : Academic Press
ISBN 13 : 0080874304
Total Pages : 207 pages
Book Rating : 4.0/5 (88 download)
Download or read book The Umbral Calculus written by and published by Academic Press. This book was released on 1984-03-21 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Umbral Calculus
Author : Steven Roman
Publisher : Courier Dover Publications
ISBN 13 : 0486839885
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)
Download or read book The Umbral Calculus written by Steven Roman and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.
Author : Jeffrey Bergen
Publisher : CRC Press
ISBN 13 : 1482293153
Total Pages : 279 pages
Book Rating : 4.4/5 (822 download)
Download or read book Hopf Algebras written by Jeffrey Bergen and published by CRC Press. This book was released on 2004-01-28 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois. With contributions from leading researchers in the field, this collection deals with current topics ranging from categories of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic
Author : Marcelo Aguiar
Publisher : American Mathematical Soc.
ISBN 13 : 0821853546
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)
Download or read book Coxeter Groups and Hopf Algebras written by Marcelo Aguiar and published by American Mathematical Soc.. This book was released on 2006 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.
Author : Ernesto Damiani
Publisher : Springer Science & Business Media
ISBN 13 : 0387887539
Total Pages : 267 pages
Book Rating : 4.3/5 (878 download)
Download or read book From Combinatorics to Philosophy written by Ernesto Damiani and published by Springer Science & Business Media. This book was released on 2009-07-24 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota’s legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science. From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.
Author : Susan Montgomery
Publisher : American Mathematical Soc.
ISBN 13 : 0821807382
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Hopf Algebras and Their Actions on Rings written by Susan Montgomery and published by American Mathematical Soc.. This book was released on 1993-10-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.
Author : Moss E. Sweedler
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.E/5 ( download)
Download or read book Hopf Algebras and Combinatorics written by Moss E. Sweedler and published by . This book was released on 1978 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : American Mathematical Soc.
ISBN 13 : 0821852620
Total Pages : 425 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by American Mathematical Soc.. This book was released on 2010 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Author :
Publisher : Elsevier
ISBN 13 : 0080532977
Total Pages : 1185 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 2003-10-15 with total page 1185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
Author : Marcelo Aguiar
Publisher : American Mathematical Soc.
ISBN 13 : 9780821847763
Total Pages : 784 pages
Book Rating : 4.8/5 (477 download)
Download or read book Monoidal Functors, Species and Hopf Algebras written by Marcelo Aguiar and published by American Mathematical Soc.. This book was released on 2010 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph integrates ideas from category theory, algebra and combinatorics. It is organized in three parts. Part I belongs to the realm of category theory. It reviews some of the foundational work of Benabou, Eilenberg, Kelly and Mac Lane on monoidal categories and of Joyal and Street on braided monoidal categories, and proceeds to study higher monoidal categories and higher monoidal functors. Special attention is devoted to the notion of a bilax monoidal functor which plays a central role in this work. Combinatorics and geometry are the theme of Part II. Joyal's species constitute a good framework for the study of algebraic structures associated to combinatorial objects. This part discusses the category of species focusing particularly on the Hopf monoids therein. The notion of a Hopf monoid in species parallels that of a Hopf algebra and reflects the manner in which combinatorial structures compose and decompose. Numerous examples of Hopf monoids are given in the text. These are constructed from combinatorial and geometric data and inspired by ideas of Rota and Tits' theory of Coxeter complexes. Part III is of an algebraic nature and shows how ideas in Parts I and II lead to a unified approach to Hopf algebras. The main step is the construction of Fock functors from species to graded vector spaces. These functors are bilax monoidal and thus translate Hopf monoids in species to graded Hopf algebras. This functorial construction of Hopf algebras encompasses both quantum groups and the Hopf algebras of recent prominence in the combinatorics literature. The monograph opens a vast new area of research. It is written with clarity and sufficient detail to make it accessible to advanced graduate students.
Author : Arne Dür
Publisher : Springer
ISBN 13 : 354039818X
Total Pages : 145 pages
Book Rating : 4.5/5 (43 download)
Download or read book Möbius Functions, Incidence Algebras and Power Series Representations written by Arne Dür and published by Springer. This book was released on 2006-11-14 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Octavian Iordache
Publisher : CRC Press
ISBN 13 : 1482204657
Total Pages : 236 pages
Book Rating : 4.4/5 (822 download)
Download or read book Polytope Projects written by Octavian Iordache and published by CRC Press. This book was released on 2013-10-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you know what works and what doesn't? This book contains case studies highlighting the power of polytope projects for complex problem solving. Any sort of combinational problem characterized by a large variety of possibly complex constructions and deconstructions based on simple building blocks can be studied in a similar way. Although the m
Author : Nancy Flournoy
Publisher : American Mathematical Soc.
ISBN 13 : 0821851225
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book Statistical Multiple Integration written by Nancy Flournoy and published by American Mathematical Soc.. This book was released on 1991 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional integration arises naturally in two major sub-fields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new advances in both Bayesian and classical multivariate statistics. In many statistical problems, however, multiple integration can be the major obstacle to solutions. This volume contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Statistical Multiple Integration, held in June 1989 at Humboldt State University in Arcata, California. The conference represents an attempt to bring together mathematicians, statisticians, and computational scientists to focus on the many important problems in statistical multiple integration. The papers document the state of the art in this area with respect to problems in statistics, potential advances blocked by problems with multiple integration, and current work directed at expanding the capability to integrate over high dimensional surfaces.
Author : American Mathematical Society. Meeting
Publisher : American Mathematical Soc.
ISBN 13 : 0821850326
Total Pages : 318 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Applications of Category Theory written by American Mathematical Society. Meeting and published by American Mathematical Soc.. This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the AMS Summer Research Conference on Axiomatic Set Theory, held in Boulder, Colorado, June 19-25, 1983. This work covers the various areas of set theory, including constructibility, forcing, combinatorics and descriptive set theory.
Author : Robert P. Gilbert
Publisher : American Mathematical Soc.
ISBN 13 : 9780821850121
Total Pages : 258 pages
Book Rating : 4.8/5 (51 download)
Download or read book Plane Ellipticity and Related Problems written by Robert P. Gilbert and published by American Mathematical Soc.. This book was released on 1982-12-31 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
