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Geometry and Discrete Mathematics: A Selection of Highlights, Anja Moldenhauer, Annika Schurenberg, Benjamin Fine, Gerhard Rosenberger, Leonard Wienke


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Автор: Anja Moldenhauer, Annika Schurenberg, Benjamin Fine, Gerhard Rosenberger, Leonard Wienke
Название:  Geometry and Discrete Mathematics: A Selection of Highlights
ISBN: 9783110740776
Издательство: Walter de Gruyter
Классификация:



ISBN-10: 311074077X
Обложка/Формат: Paperback
Страницы: 364
Вес: 0.63 кг.
Дата издания: 22.08.2022
Серия: De gruyter textbook
Язык: English
Издание: 2nd edition
Иллюстрации: 165 illustrations, black and white; 4 illustrations, color; 165 illustrations, black and white; 4 illustrations, color
Размер: 240 x 170
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Analytic geometry,Combinatorics & graph theory,Discrete mathematics,Euclidean geometry,Geometry,Mathematics,Probability & statistics, MATHEMATICS / Combinatorics,MATHEMATICS / Discrete Mathematics,MATHEMATICS / Geometry / General,MATHEMATICS / Probability & Statistics / General
Подзаголовок: A selection of highlights
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Поставляется из: Германии
Описание:

In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines many fundamental results in Geometry and Discrete Mathematics along with their proofs and their history. In the second edition we include a new chapter on Topological Data Analysis and enhanced the chapter on Graph Theory for solving further classical problems such as the Traveling Salesman Problem.



Introduction to Probability, Second Edition

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.

Geometry and Discrete Mathematics: A Selection of Highlights

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

Automated Inequality Proving and Discovering

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.

Topological Theory of Graphs

Автор: Yanpei Liu
Название: Topological Theory of Graphs
ISBN: 311047669X ISBN-13(EAN): 9783110476699
Издательство: Walter de Gruyter
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Цена: 161100.00 T
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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


Discrete mathematics with applications, metric version 5 edition

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.


The theory of quantum information

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.

Volumetric Discrete Geometry

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.

Combinatorial Geometry (Wiley Series in Discrete Mathematics and Optimization)

Автор: Pach, Janos; Pankaj K. Agarwal
Название: Combinatorial Geometry (Wiley Series in Discrete Mathematics and Optimization)
ISBN: 0471588903 ISBN-13(EAN): 9780471588900
Издательство: Wiley
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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.

Surveys in Combinatorics 2013

Автор: Blackburn
Название: Surveys in Combinatorics 2013
ISBN: 1107651956 ISBN-13(EAN): 9781107651951
Издательство: Cambridge Academ
Рейтинг:
Цена: 59130.00 T
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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.

Random Graphs, Geometry and Asymptotic Structure

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.

Finite Geometry and Combinatorial Applications

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.

Generalizations Of Finite Metrics And Cuts

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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