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Author: Jiří Matousek
Publisher: Springer
Published: 2015-04-09
Total Pages: 156
ISBN-13: 887642525X
DOWNLOAD EBOOKThis book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.
Author: Terence Tao
Publisher: American Mathematical Soc.
Published:
Total Pages: 316
ISBN-13: 9780821886281
DOWNLOAD EBOOK"In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article.
Author: Christos A. Athanasiadis
Publisher: American Mathematical Soc.
Published: 2006
Total Pages: 342
ISBN-13: 0821840800
DOWNLOAD EBOOKThis volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
Author: Michael Krivelevich
Publisher: Cambridge University Press
Published: 2016-04-25
Total Pages: 129
ISBN-13: 1107136571
DOWNLOAD EBOOKA concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
Author: A. Barlotti
Publisher: Elsevier
Published: 2012-01-25
Total Pages: 303
ISBN-13: 0080871747
DOWNLOAD EBOOKCombinatorial and Geometric Structures and Their Applications
Author: Ezra Miller
Publisher: American Mathematical Soc.
Published: 2007
Total Pages: 705
ISBN-13: 0821837362
DOWNLOAD EBOOKGeometric 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.
Author: Dijen Ray-Chaudhuri
Publisher: American Mathematical Soc.
Published: 1979
Total Pages: 394
ISBN-13: 0821814346
DOWNLOAD EBOOKBrings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games, experimental dsigns, and sociological and biological applications on the other hand.
Author: Jacob E. Goodman
Publisher: Cambridge University Press
Published: 2011-06-02
Total Pages: 0
ISBN-13: 9780521178396
DOWNLOAD EBOOKDuring the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus to mathematicians and computer scientists interested in geometric problems. This volume, which contains 32 papers on a broad range of topics of current interest in the field, is an outgrowth of that synergism. It includes surveys and research articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.
Author: Ervin Gyori
Publisher: Springer Science & Business Media
Published: 2008-10-20
Total Pages: 274
ISBN-13: 3540772006
DOWNLOAD EBOOKHungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference "Horizons of Combinatorics" held in Balatonalmadi, Hungary in 2006. The collection gives an overview of recent trends and results in a large part of combinatorics and related topics.
Author: Béla Bollobás
Publisher: Cambridge University Press
Published: 1997-05-22
Total Pages: 588
ISBN-13: 9780521584722
DOWNLOAD EBOOKA panorama of combinatorics by the world's experts.
