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Combinatorial Geometry With Applications To Field Theory
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Book Synopsis Combinatorial Geometry with Applications to Field Theory, Second Edition, graduate textbook in mathematics by : Linfan Mao
Download or read book Combinatorial Geometry with Applications to Field Theory, Second Edition, graduate textbook in mathematics written by Linfan Mao and published by Infinite Study. This book was released on 2011 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Geometry by : Linfan Mao
Download or read book Combinatorial Geometry written by Linfan Mao and published by . This book was released on 2011 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Geometry by : János Pach
Download or read book Combinatorial Geometry written by János Pach and published by John Wiley & Sons. This book was released on 2011-10-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more
Book Synopsis Algorithms in Combinatorial Geometry by : Herbert Edelsbrunner
Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.
Book Synopsis Combinatorial Convexity and Algebraic Geometry by : Günter Ewald
Download or read book Combinatorial Convexity and Algebraic Geometry written by Günter Ewald and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.
Book Synopsis Combinatorial and Computational Geometry by : Jacob E. Goodman
Download or read book Combinatorial and Computational Geometry written by Jacob E. Goodman and published by Cambridge University Press. This book was released on 2005-08-08 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.
Book Synopsis Geometric Combinatorics by : Ezra Miller
Download or read book Geometric Combinatorics written by Ezra Miller and published by American Mathematical Soc.. This book was released on 2007 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
Book Synopsis Geometry and Quantum Field Theory by : Daniel S. Freed
Download or read book Geometry and Quantum Field Theory written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 1995 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring topics from classical and quantum mechnanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians. Alvarez describes the application of supersymmetry to prove the Atiyah-Singer index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 3, 2009 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 3, 2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 123 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; Other applications of Smarandache multi-space and combinatorics.
Book Synopsis Mathematical Combinatorics, Vol. 3/2009 by : Linfan Mao
Download or read book Mathematical Combinatorics, Vol. 3/2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Open Distance-Pattern Uniform Graphs, Some Results on Super Mean Graphs, Achromatic Coloring on Double Star Graph Families, Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces, Smarandachely k-Constrained Number of Paths and Cycles, A Spacetime Geodesics of the Schwarzschild Space and Its Deformation Retract, and other topics. Contributors: Linfan Mao, A. Anitha, S. Arumugam, E. Sampathkumar, Vernold Vivin J., Venkatachalam M., Akbar Ali M.M., Sayed Elagan, Mohamad Rafi Segi Rahmat, Khalil Paryab, Ebrahim Zare, and others.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2009 by : Linfan Mao
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2009 written by Linfan Mao and published by Infinite Study. This book was released on 2009-02-22 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers by many authors about the Chromatic Polynomial of Smarandache νE-Product of Graphs, Smarandachely k-Constrained Number of Paths and Cycles, Smarandache multi-space, Smarandachely Schwarzschild space, Smarandachely degree equitable k-set, Smarandachely labeling, Smarandachely k − constrained labeling, Smarandache space, Smarandachely achromatic 1-coloring for the central graph, middle graph, total graph and line graph of double star graph, Smarandachely edge m-labeling, Smarandachely super m-mean labeling, etc.
Book Synopsis Mathematical Combinatorics, vol. II, 2015 by : Linfan Mao
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 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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 2, 2015 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 2, 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 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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 3, 2016 by : Linfan Mao
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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 2, 2017 by : Linfan Mao
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.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017 by : Linfan Mao
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 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
