Geometric Etudes in Combinatorial Mathematics

Geometric Etudes in Combinatorial Mathematics PDF

Author: Alexander Soifer

Publisher: Springer Science & Business Media

Published: 2010-06-15

Total Pages: 292

ISBN-13: 0387754695

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Geometric Etudes in Combinatorial Mathematics is not only educational, it is inspirational. This distinguished mathematician captivates the young readers, propelling them to search for solutions of life’s problems—problems that previously seemed hopeless. Review from the first edition: The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art...Keep this book at hand as you plan your next problem solving seminar. —The American Mathematical Monthly

Studyguide for Geometric Etudes in Combinatorial Mathematics by Springer-Verlag New York, ISBN 9780387754697

Studyguide for Geometric Etudes in Combinatorial Mathematics by Springer-Verlag New York, ISBN 9780387754697 PDF

Author: Cram101 Textbook Reviews

Publisher: Cram101

Published: 2011-08

Total Pages: 60

ISBN-13: 9781618301482

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Never HIGHLIGHT a Book Again! Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Outlines are Textbook Specific. Cram101 is NOT the Textbook. Accompanys: 9780387754697 .

Counting and Configurations

Counting and Configurations PDF

Author: Jiri Herman

Publisher: Springer Science & Business Media

Published: 2003-01-14

Total Pages: 416

ISBN-13: 9780387955520

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This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

How Does One Cut a Triangle?

How Does One Cut a Triangle? PDF

Author: Alexander Soifer

Publisher: Springer Science & Business Media

Published: 2009-08-25

Total Pages: 189

ISBN-13: 0387746528

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This second edition of Alexander Soifer’s How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. The author employs geometry, algebra, trigonometry, linear algebra, and rings to develop a miniature model of mathematical research.

Introduction to Combinatorial Methods in Geometry

Introduction to Combinatorial Methods in Geometry PDF

Author: Alexander Kharazishvili

Publisher: CRC Press

Published: 2024-05-15

Total Pages: 416

ISBN-13: 1040014283

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This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry. The author’s primary intention is to discuss those themes of Euclidean geometry which might be of interest to a sufficiently wide audience of potential readers. Accordingly, the material is explained in a simple and elementary form completely accessible to the college and university students. At the same time, the author reveals profound interactions between various facts and statements from different areas of mathematics: the theory of convex sets, finite and infinite combinatorics, graph theory, measure theory, classical number theory, etc. All chapters (and also the five Appendices) end with a number of exercises. These provide the reader with some additional information about topics considered in the main text of this book. Naturally, the exercises vary in their difficulty. Among them there are almost trivial, standard, nontrivial, rather difficult, and difficult. As a rule, more difficult exercises are marked by asterisks and are provided with necessary hints. The material presented is based on the lecture course given by the author. The choice of material serves to demonstrate the unity of mathematics and variety of unexpected interrelations between distinct mathematical branches.

Results and Problems in Combinatorial Geometry

Results and Problems in Combinatorial Geometry PDF

Author: Vladimir G. Boltjansky

Publisher: CUP Archive

Published: 1985-10-10

Total Pages: 132

ISBN-13: 9780521269230

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In this short book, the authors discuss three types of problems from combinatorial geometry: Borsuk's partition problem, covering convex bodies by smaller homothetic bodies, and the illumination problem. They show how closely related these problems are to each other. The presentation is elementary, with no more than high-school mathematics and an interest in geometry required to follow the arguments. Most of the discussion is restricted to two- and three-dimensional Euclidean space, though sometimes more general results and problems are given. Thus even the mathematically unsophisticated reader can grasp some of the results of a branch of twentieth-century mathematics that has applications in such disciplines as mathematical programming, operations research and theoretical computer science. At the end of the book the authors have collected together a set of unsolved and partially solved problems that a sixth-form student should be able to understand and even attempt to solve.

Combinatorial Geometry and Its Algorithmic Applications

Combinatorial Geometry and Its Algorithmic Applications PDF

Author: János Pach

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 251

ISBN-13: 0821846914

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"Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. "Combinatorial Geometry and Its Algorithmic Applications" is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography."--BOOK JACKET.

Geometric Combinatorics

Geometric Combinatorics PDF

Author: Ezra Miller

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 705

ISBN-13: 0821837362

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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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