Geometry and Discrete Mathematics: A Selection of Highlights, Anja Moldenhauer, Annika Schurenberg, Benjamin Fine, Gerhard Rosenberger, Leonard Wienke
Автор: Joseph K. Blitzstein, Jessica Hwang Название: Introduction to Probability, Second Edition ISBN: 1138369918 ISBN-13(EAN): 9781138369917 Издательство: Taylor&Francis Рейтинг: Цена: 74510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Assumes one-semester of calculus. "Stories" make distributions (Normal, Binomial, Poisson that are widely-used in statistics) easier to remember, understand. Many books write down formulas without explaining clearly why these particular distributions are important or how they are all connected.
Автор: Fine Benjamin, Gaglione Anthony, Moldenhauer Anja Название: Geometry and Discrete Mathematics: A Selection of Highlights ISBN: 3110521458 ISBN-13(EAN): 9783110521450 Издательство: Walter de Gruyter Цена: 56310.00 T Наличие на складе: Нет в наличии. Описание: This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in ℝnThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and Stone's theorem
Автор: Xia Bican, Yang Lu Название: Automated Inequality Proving and Discovering ISBN: 9814759112 ISBN-13(EAN): 9789814759113 Издательство: World Scientific Publishing Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering.
Автор: Yanpei Liu Название: Topological Theory of Graphs ISBN: 311047669X ISBN-13(EAN): 9783110476699 Издательство: Walter de Gruyter Рейтинг: Цена: 161100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology via polyhedra. On this basis, a number of problems are solved using a new approach, such as the embeddability of a graph on a surface (orientable and nonorientable) with given genus, the Gauss crossing conjecture, the graphicness and cographicness of a matroid, and so forth. Notably, the specific case of embeddability on a surface of genus zero leads to a number of corollaries, including the theorems of Lefschetz (on double coverings), of MacLane (on cycle bases), and of Whitney (on duality) for planarity. Relevant problems include the Jordan axiom in polyhedral forms, efficient methods for extremality and for recognizing a variety of embeddings (including rectilinear layouts in VLSI), and pan-polynomials, including those of Jones, Kauffman (on knots), and Tutte (on graphs), among others.
Contents
Preliminaries Polyhedra Surfaces
Homology on Polyhedra
Polyhedra on the Sphere
Automorphisms of a Polyhedron
Gauss Crossing Sequences
Cohomology on Graphs
Embeddability on Surfaces
Embeddings on Sphere
Orthogonality on Surfaces
Net Embeddings
Extremality on Surfaces
Matroidal Graphicness
Knot Polynomials
Автор: Epp, Susanna Название: Discrete mathematics with applications, metric version 5 edition ISBN: 0357114086 ISBN-13(EAN): 9780357114087 Издательство: Cengage Learning Рейтинг: Цена: 106200.00 T Наличие на складе: Поставка под заказ. Описание: DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof.
While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Karoly Bezdek, Zsolt Langi Название: Volumetric Discrete Geometry ISBN: 0367223759 ISBN-13(EAN): 9780367223755 Издательство: Taylor&Francis Рейтинг: Цена: 112290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II consisting of chapters of selected proofs of theorems stated in Part I.
Автор: Pach, Janos; Pankaj K. Agarwal Название: Combinatorial Geometry (Wiley Series in Discrete Mathematics and Optimization) ISBN: 0471588903 ISBN-13(EAN): 9780471588900 Издательство: Wiley Рейтинг: Цена: 182630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A complete, self-contained introduction to a powerful and resurging mathematical discipline. Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Toth, Rogers, and Erd???s.
Автор: Blackburn Название: Surveys in Combinatorics 2013 ISBN: 1107651956 ISBN-13(EAN): 9781107651951 Издательство: Cambridge Academ Рейтинг: Цена: 59130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book consists of nine survey papers by internationally renowned mathematicians. It will be of interest to researchers in combinatorics, from graduate students who want an overview of several areas to advanced researchers who want to have an in-depth analysis of recent developments.
Автор: Krivelevich Название: Random Graphs, Geometry and Asymptotic Structure ISBN: 1107136571 ISBN-13(EAN): 9781107136571 Издательство: Cambridge Academ Рейтинг: Цена: 69690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A self-contained and concise introduction to recent developments, particularly those of a geometric and topological nature, in the theory of random graphs. Such material is seldom covered in the formative study of young combinatorialists and probabilists, making this essential reading for beginning researchers in these fields.
Автор: Ball Название: Finite Geometry and Combinatorial Applications ISBN: 1107107997 ISBN-13(EAN): 9781107107991 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided.
Автор: Deza Michel Marie Et Al Название: Generalizations Of Finite Metrics And Cuts ISBN: 981474039X ISBN-13(EAN): 9789814740395 Издательство: World Scientific Publishing Рейтинг: Цена: 111930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.
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