Introduction to Circle Packing

Introduction to Circle Packing PDF Author: Kenneth Stephenson
Publisher: Cambridge University Press
ISBN: 9780521823562
Category : Mathematics
Languages : en
Pages : 380

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Book Description
Publisher Description

Introduction to Circle Packing

Introduction to Circle Packing PDF Author: Kenneth Stephenson
Publisher: Cambridge University Press
ISBN: 9780521823562
Category : Mathematics
Languages : en
Pages : 380

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Book Description
Publisher Description

Selected Works of Oded Schramm

Selected Works of Oded Schramm PDF Author: Itai Benjamini
Publisher: Springer Science & Business Media
ISBN: 1441996753
Category : Mathematics
Languages : en
Pages : 1199

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Book Description
This volume is dedicated to the memory of the late Oded Schramm (1961-2008), distinguished mathematician. Throughout his career, Schramm made profound and beautiful contributions to mathematics that will have a lasting influence. In these two volumes, Editors Itai Benjamini and Olle Häggström have collected some of his papers, supplemented with three survey papers by Steffen Rohde, Häggström and Cristophe Garban that further elucidate his work. The papers within are a representative collection that shows the breadth, depth, enthusiasm and clarity of his work, with sections on Geometry, Noise Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Schramm's publications complete the volume. The book will be of especial interest to researchers in probability and geometry, and in the history of these subjects.

Introduction to Cutting and Packing Optimization

Introduction to Cutting and Packing Optimization PDF Author: Guntram Scheithauer
Publisher: Springer
ISBN: 3319644033
Category : Business & Economics
Languages : en
Pages : 429

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Book Description
This book provides a comprehensive overview of the most important and frequently considered optimization problems concerning cutting and packing. Based on appropriate modeling approaches for the problems considered, it offers an introduction to the related solution methods. It also addresses aspects like performance results for heuristic algorithms and bounds of the optimal value, as well as the packability of a given set of objects within a predefined container. The problems discussed arise in a wide variety of different fields of application and research, and as such, the fundamental knowledge presented in this book make it a valuable resource for students, practitioners, and researchers who are interested in dealing with such tasks.

Explorations in Complex Analysis

Explorations in Complex Analysis PDF Author: Michael A. Brilleslyper
Publisher: American Mathematical Soc.
ISBN: 1614441081
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.

Low-Dimensional Geometry

Low-Dimensional Geometry PDF Author: Francis Bonahon
Publisher: American Mathematical Soc.
ISBN: 082184816X
Category : Mathematics
Languages : en
Pages : 403

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Book Description
The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.

Pearls in Graph Theory

Pearls in Graph Theory PDF Author: Nora Hartsfield
Publisher: Courier Corporation
ISBN: 0486315525
Category : Mathematics
Languages : en
Pages : 276

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Book Description
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

High-Dimensional Probability

High-Dimensional Probability PDF Author: Roman Vershynin
Publisher: Cambridge University Press
ISBN: 1108415199
Category : Business & Economics
Languages : en
Pages : 299

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Book Description
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

The Geometry of Numbers

The Geometry of Numbers PDF Author: C. D. Olds
Publisher: Cambridge University Press
ISBN: 9780883856437
Category : Mathematics
Languages : en
Pages : 198

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Book Description
A self-contained introduction to the geometry of numbers.

Sphere Packings, Lattices and Groups

Sphere Packings, Lattices and Groups PDF Author: J.H. Conway
Publisher: Springer Science & Business Media
ISBN: 1475722494
Category : Mathematics
Languages : en
Pages : 724

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Book Description
The second edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the first edition, the second edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, and dual theory and superstring theory in physics. Results as of 1992 have been added to the text, and the extensive bibliography - itself a contribution to the field - is supplemented with approximately 450 new entries.

The Caucasian Chalk Circle

The Caucasian Chalk Circle PDF Author: Bertolt Brecht
Publisher: Bloomsbury Publishing
ISBN: 140816101X
Category : Drama
Languages : en
Pages : 210

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Book Description
This Student Edition of Brecht's classic dramatisation of the conflict over possession of a child features an extensive introduction and commentary that includes a plot summary, discussion of the context, themes, characters, style and language as well as questions for further study and notes on words and phrases in the text. It is the perfect edition for students of theatre and literature. Brecht projects an ancient Chinese story onto a realistic setting in Soviet Georgia. In a theme that echoes the Judgment of Solomon, two women argue over the possession of a child; thanks to the unruly judge, Azdak (one of Brecht's most vivid creations) natural justice is done and the peasant Grusha keeps the child she loves, even though she is not its mother. Written in exile in the United States during the Second World War, The Caucasian Chalk Circle is a politically-charged, much-revived and complex example of Brecht's epic theatre. This volume contains expert notes on the author's life and work, historical and political background to the play, photographs from stage productions and a glossary of difficult words and phrases. It features the acclaimed translation by James and Tania Stern with W. H. Auden.