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Geometry, Structure and Randomness in Combinatorics

2015-04-09 Mathematics
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Release : 2015-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 25X/5 ( reviews)

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Book Synopsis Geometry, Structure and Randomness in Combinatorics by : Jiří Matousek

Download or read book Geometry, Structure and Randomness in Combinatorics written by Jiří Matousek. This book was released on 2015-04-09. Available in PDF, EPUB and Kindle. Book excerpt: ​This 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.

Structure and Randomness

Mathematics
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Genre : Mathematics
Kind : eBook
Book Rating : 281/5 ( reviews)

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Book Synopsis Structure and Randomness by : Terence Tao

Download or read book Structure and Randomness written by Terence Tao. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: "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.

Random Graphs, Geometry and Asymptotic Structure

2016-04-25 Mathematics
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Release : 2016-04-25
Genre : Mathematics
Kind : eBook
Book Rating : 942/5 ( reviews)

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Book Synopsis Random Graphs, Geometry and Asymptotic Structure by : Michael Krivelevich

Download or read book Random Graphs, Geometry and Asymptotic Structure written by Michael Krivelevich. This book was released on 2016-04-25. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of the formative study of young combinatorialists and probabilists. Moreover, the theory itself, even in its most basic forms, is often considered too advanced to be part of undergraduate curricula, and those who are interested usually learn it mostly through self-study, covering a lot of its fundamentals but little of the more recent developments. This book provides a self-contained and concise introduction to recent developments and techniques for classical problems in the theory of random graphs. Moreover, it covers geometric and topological aspects of the theory and introduces the reader to the diversity and depth of the methods that have been devised in this context.

Combinatorics and Finite Geometry

2020-10-30 Mathematics
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Release : 2020-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis Combinatorics and Finite Geometry by : Steven T. Dougherty

Download or read book Combinatorics and Finite Geometry written by Steven T. Dougherty. This book was released on 2020-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.

Geometric Combinatorics

2007 Combinatorial analysis
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Release : 2007
Genre : Combinatorial analysis
Kind : eBook
Book Rating : 362/5 ( reviews)

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Book Synopsis Geometric Combinatorics by : Ezra Miller

Download or read book Geometric Combinatorics written by Ezra Miller. This book was released on 2007. 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.

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