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Join Geometries
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Download or read book Join Geometries written by W. Prenowitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main object of this book is to reorient and revitalize classical geometry in a way that will bring it closer to the mainstream of contemporary mathematics. The postulational basis of the subject will be radically revised in order to construct a broad-scale and conceptually unified treatment. The familiar figures of classical geometry-points, segments, lines, planes, triangles, circles, and so on-stem from problems in the physical world and seem to be conceptually unrelated. However, a natural setting for their study is provided by the concept of convex set, which is compara tively new in the history of geometrical ideas. The familiarfigures can then appear as convex sets, boundaries of convex sets, or finite unions of convex sets. Moreover, two basic types of figure in linear geometry are special cases of convex set: linear space (point, line, and plane) and halfspace (ray, halfplane, and halfspace). Therefore we choose convex set to be the central type of figure in our treatment of geometry. How can the wealth of geometric knowledge be organized around this idea? By defini tion, a set is convex if it contains the segment joining each pair of its points; that is, if it is closed under the operation of joining two points to form a segment. But this is precisely the basic operation in Euclid.
Book Synopsis Join Geometries by : Walter Prenowitz
Download or read book Join Geometries written by Walter Prenowitz and published by . This book was released on 1979-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Geometry by : K. W. Gruenberg
Download or read book Linear Geometry written by K. W. Gruenberg and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.
Book Synopsis Proceedings 2004 VLDB Conference by : VLDB
Download or read book Proceedings 2004 VLDB Conference written by VLDB and published by Morgan Kaufmann. This book was released on 2004-09-17 with total page 1415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 30th Annual International Conference on Very Large Data Bases held in Toronto, Canada on August 31 - September 3 2004. Organized by the VLDB Endowment, VLDB is the premier international conference on database technology.
Book Synopsis Geometry: Plane and Fancy by : David A. Singer
Download or read book Geometry: Plane and Fancy written by David A. Singer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
Book Synopsis The Four Pillars of Geometry by : John Stillwell
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-12-30 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Book Synopsis Linear Algebra Through Geometry by : T. Banchoff
Download or read book Linear Algebra Through Geometry written by T. Banchoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas are grounded in the familiar geometry of two and three dimensions. Many important notions of linear algebra already occur in these dimensions in a non-trivial way, and a student with a confident grasp of these ideas will encounter little difficulty in extending them to higher dimensions and to more abstract algebraic systems. Moreover, we feel that this geometric approach provides a solid basis for the linear algebra needed in engineering, physics, biology, and chemistry, as well as in economics and statistics. The great advantage of beginning with a thorough study of the linear algebra of the plane is that students are introduced quickly to the most important new concepts while they are still on the familiar ground of two-dimensional geometry. In short order, the student sees and uses the notions of dot product, linear transformations, determinants, eigenvalues, and quadratic forms. This is done in Chapters 2.0-2.7. Then the very same outline is used in Chapters 3.0-3.7 to present the linear algebra of three-dimensional space, so that the former ideas are reinforced while new concepts are being introduced.
Book Synopsis Applied Geometry and Discrete Mathematics by : Peter Gritzmann
Download or read book Applied Geometry and Discrete Mathematics written by Peter Gritzmann and published by American Mathematical Soc.. This book was released on 1991 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Convex Geometry by : W. A. Coppel
Download or read book Foundations of Convex Geometry written by W. A. Coppel and published by Cambridge University Press. This book was released on 1998-03-05 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained and thorough book on the foundations of Euclidean geometry.
Book Synopsis Computational Geometry - Methods, Algorithms and Applications by : Hanspeter Bieri
Download or read book Computational Geometry - Methods, Algorithms and Applications written by Hanspeter Bieri and published by Springer Science & Business Media. This book was released on 1991-11-13 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiocarbon After Four Decades: An Interdisciplinary Perspective commemorates the 40th anniversary of radiocarbon dating. The volume presents discussions of every aspect of this dating technique, as well as chronicles of its development and views of future advancements and applications. All of the 64 authors played major roles in establishment, development or application of this revolutionary scientific tool. The 35 chapters provide a solid foundation in the essential topics of radiocarbon dating: Historical Perspectives; The Natural Carbon Cycle; Instrumentation and Sample Preparation; Hydrology; Old World Archaeology; New World Archaeology; Earth Sciences; and Biomedical Applications.
Book Synopsis Oriented Projective Geometry by : Jorge Stolfi
Download or read book Oriented Projective Geometry written by Jorge Stolfi and published by Academic Press. This book was released on 2014-05-10 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry. The aim of the book is to stress the value of oriented projective geometry for practical computing and develop it as a rich, consistent, and effective tool for computer programmers. The monograph is comprised of 20 chapters. Chapter 1 gives a quick overview of classical and oriented projective geometry on the plane, and discusses their advantages and disadvantages as computational models. Chapters 2 through 7 define the canonical oriented projective spaces of arbitrary dimension, the operations of join and meet, and the concept of relative orientation. Chapter 8 defines projective maps, the space transformations that preserve incidence and orientation; these maps are used in chapter 9 to define abstract oriented projective spaces. Chapter 10 introduces the notion of projective duality. Chapters 11, 12, and 13 deal with projective functions, projective frames, relative coordinates, and cross-ratio. Chapter 14 tells about convexity in oriented projective spaces. Chapters 15, 16, and 17 show how the affine, Euclidean, and linear vector spaces can be emulated with the oriented projective space. Finally, chapters 18 through 20 discuss the computer representation and manipulation of lines, planes, and other subspaces. Computer scientists and programmers will find this text invaluable.
Book Synopsis Procedural 3D Modeling Using Geometry Nodes in Blender by : Siemen Lens
Download or read book Procedural 3D Modeling Using Geometry Nodes in Blender written by Siemen Lens and published by Packt Publishing Ltd. This book was released on 2023-03-17 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy-to-follow, illustrated guide to learning the geometry nodes editor and various other facets of geometry nodes through simple exercises that progress to more challenging projects Purchase of the print or Kindle book includes a free PDF eBook Key Features Develop a creative mathematical thinking of the modeling workflow Understand how Blender and geometry nodes store and manage the data that you are handling Learn different scatter methods and how to use them Book DescriptionFor anyone working in the computer graphics industry, understanding how to use Blender’s new geometry nodes tools to manipulate and generate 3D geometry in a node-based workflow is an essential skill. In this book, you’ll learn how to use the basic and intermediate features of geometry nodes that are a crucial part of your Blender roadmap. You’ll start by understanding the different node inputs and outputs followed by the basic nodes you’ll need throughout your geometry nodes projects. The book will show you how the node system works and enable you to put your newfound knowledge to use through exercises that involve modifying curves, meshes, and more. You’ll work on a range of interesting projects such as creating a procedural plant, where you’ll use nodes to generate the intricate details and variations of a plant in a procedural manner, and a spiderweb generator to refine your skills of cleaning up a node tree. Finally, you’ll build a procedural LED panel using geometry nodes to generate the look of an LED panel. By the end of this book, you’ll be able to overcome any geometry node issue confidently and make complicated geometry node trees exactly how you need them.What you will learn Discover the different node inputs and outputs that geometry nodes have to offer Get the hang of the flow of the geometry node system Understand the common nodes you’ll be using along with their functions in the geometry node editor Modify basic mesh primitives using the node system inside Blender Scatter and modify objects aligned onto a curve Become familiar with the more advanced nodes in the geometry nodes system Link geometry and material nodes editors using named attributes Implement your new-found knowledge of nodes in real-world projects Who this book is for If you are a CG Artist or follow modeling careers like that of an environment artist or even a CG generalist in the cinematography industry and you are looking to get into learning a node-based modeling workflow using Geometry Nodes in Blender, this is the perfect book for you. You will need a basic knowledge of the fundamentals of Blender, for example, knowing the specific workflow of material nodes and being able to apply this knowledge to your projects. To get the most out of this book, you should have a basic understanding of Blender's shortcut system and some modeling experience.
Book Synopsis Materials and Design by : Michael F. Ashby
Download or read book Materials and Design written by Michael F. Ashby and published by Butterworth-Heinemann. This book was released on 2013-12-19 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Materials are the stuff of design. From the very beginning of human history, materials have been taken from the natural world and shaped, modified, and adapted for everything from primitive tools to modern electronics. This renowned book by noted materials engineering author Mike Ashby and industrial designer Kara Johnson explores the role of materials and materials processing in product design, with a particular emphasis on creating both desired aesthetics and functionality. The new edition features even more of the highly useful "materials profiles" that give critical design, processing, performance and applications criteria for each material in question. The reader will find information ranging from the generic and commercial names of each material, its physical and mechanical properties, its chemical properties, its common uses, how it is typically made and processed, and even its average price. And with improved photographs and drawings, the reader is taken even more closely to the way real design is done by real designers, selecting the optimum materials for a successful product. The best guide ever published on the on the role of materials, past and present, in product development, by noted materials authority Mike Ashby and professional designer Kara Johnson--now with even better photos and drawings on the Design Process Significant new section on the use of re-cycled materials in products, and the importance of sustainable design for manufactured goods and services Enhanced materials profiles, with addition of new materials types like nanomaterials, advanced plastics and bio-based materials
Book Synopsis Practical geometry by : Richard Burchett
Download or read book Practical geometry written by Richard Burchett and published by . This book was released on 1855 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synthetic Projective Geometry by : George Bruce Halsted
Download or read book Synthetic Projective Geometry written by George Bruce Halsted and published by . This book was released on 1896 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Constructive Geometry by : John F. Dowsett
Download or read book Advanced Constructive Geometry written by John F. Dowsett and published by . This book was released on 1927 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Analytical Geometry by : George Alexander Gibson
Download or read book Elements of Analytical Geometry written by George Alexander Gibson and published by . This book was released on 1919 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
