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Computing in Euclidean Geometry

1992 Mathematics
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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : 667/5 ( reviews)

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Book Synopsis Computing in Euclidean Geometry by : Dingzhu Du

Download or read book Computing in Euclidean Geometry written by Dingzhu Du. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra; triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and steiner trees. Each chapter is written by a leading expert in the field and together they provide a clear and authoritative picture of what computational Euclidean geometry is and the direction in which research is going.

Computing In Euclidean Geometry (2nd Edition)

1995-01-25 Computers
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Release : 1995-01-25
Genre : Computers
Kind : eBook
Book Rating : 638/5 ( reviews)

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Book Synopsis Computing In Euclidean Geometry (2nd Edition) by : Ding-zhu Du

Download or read book Computing In Euclidean Geometry (2nd Edition) written by Ding-zhu Du. This book was released on 1995-01-25. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Introduction to Geometric Computing

2008-07-05 Computers
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Release : 2008-07-05
Genre : Computers
Kind : eBook
Book Rating : 150/5 ( reviews)

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Book Synopsis Introduction to Geometric Computing by : Sherif Ghali

Download or read book Introduction to Geometric Computing written by Sherif Ghali. This book was released on 2008-07-05. Available in PDF, EPUB and Kindle. Book excerpt: Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.

Computational Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 984/5 ( reviews)

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Book Synopsis Computational Geometry by : Franco P. Preparata

Download or read book Computational Geometry written by Franco P. Preparata. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2

Some Adventures in Euclidean Geometry

2009-09-08 Euclid's Elements
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Release : 2009-09-08
Genre : Euclid's Elements
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis Some Adventures in Euclidean Geometry by : Michael de Villiers

Download or read book Some Adventures in Euclidean Geometry written by Michael de Villiers. This book was released on 2009-09-08. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.

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