Harcourt Geometry and Discrete Mathematics
Author | : Donald Joseph Curran |
Publisher | : |
Total Pages | : 309 |
Release | : 2002-08 |
Genre | : Computer science |
ISBN | : 9780774714570 |
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Author | : Donald Joseph Curran |
Publisher | : |
Total Pages | : 309 |
Release | : 2002-08 |
Genre | : Computer science |
ISBN | : 9780774714570 |
Author | : Donald J. (Donald Joseph) Curran |
Publisher | : Harcourt Canada |
Total Pages | : 309 |
Release | : 2002-01-01 |
Genre | : Computer science |
ISBN | : 9780774715973 |
Author | : Benjamin Fine |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 412 |
Release | : 2022-08-22 |
Genre | : Mathematics |
ISBN | : 3110740931 |
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.
Author | : Peter Gritzmann |
Publisher | : American Mathematical Soc. |
Total Pages | : 660 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780821870839 |
This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.
Author | : Csaba D. Toth |
Publisher | : CRC Press |
Total Pages | : 1928 |
Release | : 2017-11-22 |
Genre | : Computers |
ISBN | : 1498711421 |
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author | : Peter M. Gruber |
Publisher | : Springer Science & Business Media |
Total Pages | : 590 |
Release | : 2007-05-17 |
Genre | : Mathematics |
ISBN | : 3540711333 |
Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.
Author | : Karoly Bezdek |
Publisher | : CRC Press |
Total Pages | : 307 |
Release | : 2019-04-24 |
Genre | : Mathematics |
ISBN | : 1000000338 |
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research Features more than 60 research exercises Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics
Author | : Károly Bezdek |
Publisher | : Springer Science & Business Media |
Total Pages | : 171 |
Release | : 2010-06-23 |
Genre | : Mathematics |
ISBN | : 1441906002 |
Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in present times. While focusing on modern mathematics, one has to emphasize the increasing role of discrete mathematics, or equivalently, the broad movement to establish discrete analogues of major components of mathematics. In this way, the works of a number of outstanding mathema- cians including H. S. M. Coxeter (Canada), C. A. Rogers (United Kingdom), and L. Fejes-T oth (Hungary) led to the new and fast developing eld called discrete geometry. One can brie y describe this branch of geometry as the study of discrete arrangements of geometric objects in Euclidean, as well as in non-Euclidean spaces. This, as a classical core part, also includes the theory of polytopes and tilings in addition to the theory of packing and covering. D- crete geometry is driven by problems often featuring a very clear visual and applied character. The solutions use a variety of methods of modern mat- matics, including convex and combinatorial geometry, coding theory, calculus of variations, di erential geometry, group theory, and topology, as well as geometric analysis and number theory.
Author | : Peter Brass |
Publisher | : Springer Science & Business Media |
Total Pages | : 507 |
Release | : 2006-01-27 |
Genre | : Mathematics |
ISBN | : 0387299297 |
This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.
Author | : Andras Bezdek |
Publisher | : CRC Press |
Total Pages | : 500 |
Release | : 2003-02-04 |
Genre | : Mathematics |
ISBN | : 0824747615 |
Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.