Download or read book Mathematical Combinatorics vol II 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Ruled Surfaces in Minkowski 3-Space, Enumeration of k-Fibonacci Paths Using Infinite Weighted Automata, The Natural Lift Curves and Geodesic Curvatures of the Spherical Indicatrices of The Spacelike-Timelike Bertrand Curve Pair, Magic Properties of Special Class of Trees, and other topics. Contributors: V. Ramachandran, C. Sekar, Rodrigo De Castro, Jose L. Ramirez, Nagesh.H.M, R. Chandrasekhar, A. Vijayalekshmi, S. Suganthi, V. Swaminathan, Arunesh Pandey, V.K. Chaubey, T.N. Pandey, and others.
Download or read book Enumerative Combinatorics Volume 2 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 1997 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.
Download or read book Enumerative Combinatorics Volume 2 written by Richard Stanley and published by Cambridge University Press. This book was released on 2023-07-31 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of volume two covers the composition of generating functions, in particular the exponential formula and the Lagrange inversion formula, labelled and unlabelled trees, algebraic, D-finite, and noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course and focusing on combinatorics, especially the Robinson–Schensted–Knuth algorithm. An appendix by Sergey Fomin covers some deeper aspects of symmetric functions, including jeu de taquin and the Littlewood–Richardson rule. The exercises in the book play a vital role in developing the material, and this second edition features over 400 exercises, including 159 new exercises on symmetric functions, all with solutions or references to solutions.
Download or read book International Journal of Mathematical Combinatorics Volume 2 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Download or read book Enumerative Combinatorics Volume 1 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2012 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.
Download or read book Mathematical Combinatorics vol II 2015 written by Linfan Mao and published by Infinite Study. This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Combinatorics (International Book Series) is a fully refereed international book series, quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.
Download or read book Algebraic Combinatorics written by Richard P. Stanley and published by Springer Science & Business Media. This book was released on 2013-06-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.
Download or read book Enumerative Combinatorics Volume 2 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 1999-01-13 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.
Download or read book International Journal of Mathematical Combinatorics Volume 1 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Download or read book The Unity of Combinatorics written by Ezra Brown and published by American Mathematical Soc.. This book was released on 2021-04-05 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous connections and threads weaving them together to form a beautifully patterned tapestry of ideas. Topics include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable. Few mathematicians have been as active in this area as Richard Guy, now in his eighth decade of mathematical productivity. Guy is the author of over 300 papers and twelve books in geometry, number theory, graph theory, and combinatorics. In addition to being a life-long number-theorist and combinatorialist, Guy's co-author, Ezra Brown, is a multi-award-winning expository writer. Together, Guy and Brown have produced a book that, in the spirit of the founding words of the Carus book series, is accessible “not only to mathematicians but to scientific workers and others with a modest mathematical background.”
Download or read book International Journal of Mathematical Combinatorics Volume 4 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Download or read book Mathematical Combinatorics Vol IV 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache Lattice and Pseudo Complement, Smarandache’s Conjecture on Consecutive Primes, Signed Domatic Number of Directed Circulant Graphs, Generalized Quasi-Kenmotsu Manifolds, Geometry on Non-Solvable Equations-A Review on Contradictory Systems, and other topics. Contributors: Octavian Cira, Linfan Mao, N. Kannappa, K. Suresh, F. Smarandache, M. Ali, A. Raheem, A. Q. Baig, M. Javaid, Barnali Laha, Arindam Bhattacharyya, and others.
Download or read book International Journal of Mathematical Combinatorics Volume 3 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences..
Download or read book International Journal of Mathematical Combinatorics Volume 2 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics.
Download or read book MATHEMATICAL COMBINATORICS INTERNATIONAL BOOK SERIES Vol 2 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper 1: Differential curves, Bertrand curves pair, ruled surfaces. Paper 2: (my paper) Banach space, Smarandache multispace, complex system, non-solvable equation, mathematical combinatorics. Paper 3: Zagreb index, molecular topological index, bipartite graph. Paper 4: D-conformal curvature tensor, η-Einstein manifold. Paper 5: Hypergraph, Smarandachely linear. Paper 6: Ruled surface, parallel surface. Paper 7: Smarandachely H-rainbow connected, rainbow connected, rainbow connection number. Paper 8: Darboux vector, Smarandache curves. Paper 9: Smarandache power root mean labeling, F-root square mean labeling. Paper 10: Smarandachely k-prime labelling, k-prime labelling. Paper 11: graceful labeling, α-labeling. Paper 12: supereulerian digraph, semicomplete digraph, locally semicomplete multipartite digraph. Paper 13: Smarandachely edge m-labeling, skolem mean labeling. Keywords: Smarandache multispace, Smarandachely linear, Smarandachely H-rainbow connected, Smarandache power root mean labeling, Smarandachely k-prime labelling, Smarandachely edge m-labeling
Download or read book MATHEMATICAL COMBINATORICS Vol 4 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.
Download or read book International Journal of Mathematical Combinatorics Volume 3 2016 written by Linfan Mao and published by Infinite Study. This book was released on with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
