Geometry Illuminated
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Geometry Illuminated
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Author : Matthew Harvey
language : en
Publisher: The Mathematical Association of America
Release Date : 2015-09-25
Geometry Illuminated written by Matthew Harvey and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-25 with Mathematics categories.
Geometry Illuminated is an introduction to geometry in the plane, both Euclidean and hyperbolic. It is designed to be used in an undergraduate course on geometry, and as such, its target audience is undergraduate math majors. However, much of it should be readable by anyone who is comfortable with the language of mathematical proof. Throughout, the goal is to develop the material patiently. One of the more appealing aspects of geometry is that it is a very "visual" subject. This book hopes to takes full advantage of that, with an extensive use of illustrations as guides. Geometry Illuminated is divided into four principal parts. Part 1 develops neutral geometry in the style of Hilbert, including a discussion of the construction of measure in that system, ultimately building up to the Saccheri-Legendre Theorem. Part 2 provides a glimpse of classical Euclidean geometry, with an emphasis on concurrence results, such as the nine-point circle. Part 3 studies transformations of the Euclidean plane, beginning with isometries and ending with inversion, with applications and a discussion of area in between. Part 4 is dedicated to the development of the Poincaré disk model, and the study of geometry within that model. While this material is traditional, Geometry Illuminated does bring together topics that are generally not found in a book at this level. Most notably, it explicitly computes parametric equations for the pseudosphere and its geodesics. It focuses less on the nature of axiomatic systems for geometry, but emphasizes rather the logical development of geometry within such a system. It also includes sections dealing with trilinear and barycentric coordinates, theorems that can be proved using inversion, and Euclidean and hyperbolic tilings.
Lobachevski Illuminated
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Author : Seth Braver
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-12-31
Lobachevski Illuminated written by Seth Braver and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-31 with Education categories.
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2015! Lobachevski Illuminated provides an historical introduction to non-Euclidean geometry. Within its pages, readers will be guided step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. Extensive commentary situates Lobachevski's work in its mathematical, historical, and philosophical context, thus granting readers a vision of the mysterious and beautiful world of non-Euclidean geometry as seen through the eyes of one of its discoverers. Although Lobachevski's 170-year-old text is challenging to read on its own, Seth Braver's carefully arranged “illuminations” render this classic accessible to any modern reader (student, professional, or layman) undaunted by high school mathematics.
Color Appearance Models
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Author : Mark D. Fairchild
language : en
Publisher: John Wiley & Sons
Release Date : 2005-07-08
Color Appearance Models written by Mark D. Fairchild and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-08 with Technology & Engineering categories.
There is an ever-increasing demand for a standard way to transport colours among devices on the Internet, and for achieving colour fidelity across digital media. The rapid growth in colour imaging technology has led to the emergence of colour management systems. These systems require colour appearance models so that images produced in one medium and viewed in a particular environment, may be reproduced in a second medium and viewed under different conditions. The eagerly anticipated second edition of Colour Appearance Models brings the fundamental issues and current solutions in the area of colour appearance modelling together in a single place for those needing to solve practical problems or looking for background for ongoing research projects. This book provides the relevant information for an updated review of colour appearance and provide details of many of the most widely used models to date, for example, Nayatani et al., Hunt, and RLAB and the ATD and LLAB appearance models that are of increasing interest for some applications. It also includes the recently formulated CIECAM02 model that represents a significant improvement of CIECAM97S and is the best possible model based on current knowledge. Fairchild presents an updated overview of device-independent colour imaging and finally introduces the concept of image appearance modelling as a potential future direction for colour appearance modelling research. A website accompanies this text that lists developments, publications and calculations related to the material in this book.
Icgg 2024 Proceedings Of The 21st International Conference On Geometry And Graphics
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Author : Kazuki Takenouchi
language : en
Publisher: Springer Nature
Release Date : 2024-09-26
Icgg 2024 Proceedings Of The 21st International Conference On Geometry And Graphics written by Kazuki Takenouchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-26 with Mathematics categories.
This three-volume book gathers peer-reviewed papers presented at the 21st International Conference on Geometry and Graphics (ICGG 2024), held in Kitakyushu, Japan, on August 5–9, 2024. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. The ICGG 2024 covered the following five topics taken over from ICGG 2022: Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, to which a Related Topic section was added in response to the growing body of research on Geometry and Graphics. Volume 1 collects papers on three of these topics: Theoretical Graphics and Geometry, Graphics Education, and Related Topics. Given its breadth of coverage, the book introduces engineers, architects, and designers interested in computer applications, graphics, and geometry to the latest advances in the field, with a particular focus on science, the arts, and mathematics education.
Thinking Geometrically
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Author : Thomas Q. Sibley
language : en
Publisher: The Mathematical Association of America
Release Date : 2015-08-14
Thinking Geometrically written by Thomas Q. Sibley and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Mathematics categories.
Thinking Geometrically: A Survey of Geometries is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upper-division mathematics majors can successfully study the topics needed for the preparation of high school teachers. There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these students as well as for more advanced students. These chapters include Euclidean Geometry, Axiomatic Systems and Models, Analytic Geometry, Transformational Geometry, and Symmetry. Topics in the other chapters, including Non-Euclidean Geometry, Projective Geometry, Finite Geometry, Differential Geometry, and Discrete Geometry, provide a broader view of geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. The text is self-contained, including appendices with the material in Euclid’s first book and a high school axiomatic system as well as Hilbert’s axioms. Appendices give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters. While some chapters use the language of groups, no prior experience with abstract algebra is presumed. The text will support an approach emphasizing dynamical geometry software without being tied to any particular software.
Applied Photographic Optics
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Author : Sidney Ray
language : en
Publisher: Routledge
Release Date : 2002-02-20
Applied Photographic Optics written by Sidney Ray and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-20 with Photography categories.
Selected by the American Library Association's 'Choice' magazine as "best technical book", the first edition of this book soon established itself as the standard reference work on all aspects of photographic lenses and associated optical systems. This is unsurprising, as Sidney Ray provides a complete, comprehensive reference source for anyone wanting information on photographic lenses, from the student to the practitioner or specialist working with visual and digital media worldwide. This third edition has been fully revised and expanded to include the rapid progress in the last decade in optical technology and advances in relevant electronic and digital forms of imaging. Every chapter has been revised and expanded using new figures and photographs as appropriate, as well as extended bibliographies. New chapters include details of filters, measurements from images and the optical systems of digital cameras. Details of electronic and digital imaging have been integrated throughout. More information is given on topics such as aspherics, diffractive optics, ED glasses, image stabilization, optical technology, video projection and new types of lenses. A selection of the contents includes chapters on: optical theory, aberrations, auto focus, lens testing, depth of field, development of photographic lenses, general properties of lenses, wide-angle lenses, telephoto lenses, video lenses, viewfinder systems, camera movements, projection systems and 3-D systems.
Ultra Realistic Imaging
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Author : Hans Bjelkhagen
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Ultra Realistic Imaging written by Hans Bjelkhagen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
Ultra-high resolution holograms are now finding commercial and industrial applications in such areas as holographic maps, 3D medical imaging, and consumer devices. Ultra-Realistic Imaging: Advanced Techniques in Analogue and Digital Colour Holography brings together a comprehensive discussion of key methods that enable holography to be used as a te
General Theory Of Light Propagation And Imaging Through The Atmosphere
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Author : T. Stewart McKechnie
language : en
Publisher: Springer
Release Date : 2015-08-05
General Theory Of Light Propagation And Imaging Through The Atmosphere written by T. Stewart McKechnie and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-05 with Science categories.
This book lays out a new, general theory of light propagation and imaging through Earth’s turbulent atmosphere. Current theory is based on the – now widely doubted – assumption of Kolmogorov turbulence. The new theory is based on a generalized atmosphere, the turbulence characteristics of which can be established, as needed, from readily measurable properties of point-object, or star, images. The pessimistic resolution predictions of Kolmogorov theory led to lax optical tolerance prescriptions for large ground-based astronomical telescopes which were widely adhered to in the 1970s and 1980s. Around 1990, however, it became clear that much better resolution was actually possible, and Kolmogorov tolerance prescriptions were promptly abandoned. Most large telescopes built before 1990 have had their optics upgraded (e.g., the UKIRT instrument) and now achieve, without adaptive optics (AO), almost an order of magnitude better resolution than before. As well as providing a more comprehensive and precise understanding of imaging through the atmosphere with large telescopes (both with and without AO), the new general theory also finds applications in the areas of laser communications and high-energy laser beam propagation.
Billmeyer And Saltzman S Principles Of Color Technology
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Author : Roy S. Berns
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-07
Billmeyer And Saltzman S Principles Of Color Technology written by Roy S. Berns and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-07 with Science categories.
This book offers detailed coverage of color, colorants, the coloring of materials, and reproducing the color of materials through imaging. It combines the clarity and ease of earlier editions with significant updates about the advancement in color theory and technology. Provides guidance for how to use color measurement instrumentation, make a visual assessment, set a visual tolerance, and select a formulation Supplements material with numerical examples, graphs, and illustrations that clarify and explain complex subjects Expands coverage of topics including spatial vision, solid-state lighting, cameras and spectrophotometers, and translucent materials
Technical Report Jet Propulsion Laboratory California Institute Of Technology
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Author : Jet Propulsion Laboratory (U.S.)
language : en
Publisher:
Release Date : 1965
Technical Report Jet Propulsion Laboratory California Institute Of Technology written by Jet Propulsion Laboratory (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Jet propulsion categories.