Download or read book Geometry Illuminated written by Matthew Harvey and published by The Mathematical Association of America. This book was released on 2015-09-25 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry Illuminated written by Matthew Steven Harvey and published by . This book was released on 2015 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry and Light written by Ulf Leonhardt and published by Courier Corporation. This book was released on 2012-07-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students of engineering, physics, and mathematics and scientific researchers of all types, this is the first authoritative text on invisibility and the science behind it. More than 100 full-color illustrations, plus exercises with solutions. 2010 edition.
Download or read book Illuminated Geometry written by and published by Lulu.com. This book was released on with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book MUS Mathematimus Hyperelliptical Geometry written by Stenio Musich and published by Stenio Musich. This book was released on 2024-03-25 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: M.U.S. (Mathematical Uniform Space) is a new number of π (pi), representing the reality of the Universe in which we live. With this number, we created a new geometry, Hyperelliptical Geometry, which will provide the unification of physics, thus uniting the Theory of Relativity and Quantum Theory. A new geometry for a new Mathematics and a new Physics. (ISBN 978-65-00-98107-0).
Download or read book Measurement Instrumentation and Sensors Handbook written by John G. Webster and published by CRC Press. This book was released on 2017-12-19 with total page 1921 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition of the bestselling Measurement, Instrumentation, and Sensors Handbook brings together all aspects of the design and implementation of measurement, instrumentation, and sensors. Reflecting the current state of the art, it describes the use of instruments and techniques for performing practical measurements in engineering, physics, chemistry, and the life sciences and discusses processing systems, automatic data acquisition, reduction and analysis, operation characteristics, accuracy, errors, calibrations, and the incorporation of standards for control purposes. Organized according to measurement problem, the Electromagnetic, Optical, Radiation, Chemical, and Biomedical Measurement volume of the Second Edition: Contains contributions from field experts, new chapters, and updates to all 98 existing chapters Covers sensors and sensor technology, time and frequency, signal processing, displays and recorders, and optical, medical, biomedical, health, environmental, electrical, electromagnetic, and chemical variables A concise and useful reference for engineers, scientists, academic faculty, students, designers, managers, and industry professionals involved in instrumentation and measurement research and development, Measurement, Instrumentation, and Sensors Handbook, Second Edition: Electromagnetic, Optical, Radiation, Chemical, and Biomedical Measurement provides readers with a greater understanding of advanced applications.
Download or read book Color Appearance Models written by Mark D. Fairchild and published by John Wiley & Sons. This book was released on 2005-07-08 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lobachevski Illuminated written by Seth Braver and published by MAA. This book was released on 2011 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: A historical introduction to non-Euclidean geometry.
Download or read book Old and New Unsolved Problems in Plane Geometry and Number Theory written by Victor Klee and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Download or read book Lobachevski Illuminated written by Seth Braver and published by American Mathematical Soc.. This book was released on 2011-12-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry in Gold written by Marcus Fraser and published by Gower Publishing Company, Limited. This book was released on 2005 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a monumental and superbly illuminated very large early fourteenth-century Mamluk Qur'an in muhaqqaq script. It constitutes the final part (Juz' 30) of a superb two-volume Qur'an of which the first volume is preserved in the National Museum in Damascus while the second volume, from which the present section originates, is widely dispersed. Remarkably, here the final part of the Qur'an is reunited with its magnificent and richly decorated double finispieces, thus reassembling what must have been among the most striking and lavishly illuminated sections of the entire manuscript. The high degree of inventiveness along with the overall quality of the manuscript point to the work of a master artist. Especially the geometric proficiency suggests the work of Muhammad ibn Mubadir, one of the leading illuminators in Mamluk Cairo at the turn of the thirteenth century. Although little is known of the life of this artist, his illumination in the Baybars al-Jashnagir Qur'an, now in the British Library, and a Qur'an copied in 1306-10 for an unknown patron, now in the Chester Beatty Library, constitute some of the most celebrated achievements of Mamluk Qur'an illumination.
Download or read book Introduction to Hyperbolic Geometry written by Arlan Ramsay and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without proof. The book goes well beyond the standard course in later chapters, and there is enough material for an honors course, or for supplementary reading. Indeed, parts of the book have been used for both kinds of courses. Even some of what is in the early chapters would surely not be nec essary for a standard course. For example, detailed proofs are given of the Jordan Curve Theorem for Polygons and of the decomposability of poly gons into triangles, These proofs are included for the sake of completeness, but the results themselves are so believable that most students should skip the proofs on a first reading. The axioms used are modern in character and more "user friendly" than the traditional ones. The familiar real number system is used as an in gredient rather than appearing as a result of the axioms. However, it should not be thought that the geometric treatment is in terms of models: this is an axiomatic approach that is just more convenient than the traditional ones.
Download or read book Encyclopedia of Color Science and Technology written by Renzo Shamey and published by Springer Nature. This book was released on 2023-09-29 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully revised and expanded 2nd edition provides a single authoritative resource describing the concepts of color and the application of color science across research and industry. Significant changes for the 2nd edition include: New and expanded sections on color engineering More entries on fundamental concepts of color science and color terms Many additional entries on specific materials Further material on optical concepts and human visual perception Additional articles on organisations, tools and systems relevant to color A new set of entries on 3D presentation of color In addition, many of the existing entries have been revised and updated to ensure that the content of the encyclopedia is current and represents the state of the art. The work covers the full gamut of color: the fundamentals of color science; the physics and chemistry; color as it relates to optical phenomena and the human visual system; and colorants and materials. The measurement of color is described through entries on colorimetry, color spaces, color difference metrics, color appearance models, color order systems and cognitive color. The encyclopedia also has extensive coverage of applications throughout industry, including color imaging, color capture, display and printing, and descriptions of color encodings, color management, processing color and applications relating to color synthesis for computer graphics are included. The broad scope of the work is illustrated through entries on color in art conservation, color and architecture, color and education, color and culture, and biographies of some of the key figures involved in color research throughout history. With over 250 entries from color science researchers across academia and industry, this expanded 2nd edition of the Encyclopedia of Color Science and Technology remains the most important single resource in color science.
Download or read book Geometry and its Applications in Arts Nature and Technology written by Georg Glaeser and published by Springer Nature. This book was released on 2020-12-18 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.
Download or read book Real Time Rendering Fourth Edition written by Tomas Akenine-Möller and published by CRC Press. This book was released on 2018-08-06 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly updated, this fourth edition focuses on modern techniques used to generate synthetic three-dimensional images in a fraction of a second. With the advent of programmable shaders, a wide variety of new algorithms have arisen and evolved over the past few years. This edition discusses current, practical rendering methods used in games and other applications. It also presents a solid theoretical framework and relevant mathematics for the field of interactive computer graphics, all in an approachable style. New to this edition: new chapter on VR and AR as well as expanded coverage of Visual Appearance, Advanced Shading, Global Illumination, and Curves and Curved Surfaces.
Download or read book Modern Textile Characterization Methods written by Mastura Raheel and published by Routledge. This book was released on 2017-09-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work details current advances in assessing the characteristics of polymers, single fibres and fibrous systems, and associated processes based on evolving theories in the physical, chemical and mechanical sciences. It focuses on recent develpments in selected characterization methods - such as Fourier transform infrared spectroscopy, Fourier transform nuclear magnetic resonance, electron diffraction, x-ray diffraction and electron microscopy - applicatble to polymers, fibres and textiles.
Download or read book Anti reflection and Light Trapping in c Si Solar Cells written by Chetan Singh Solanki and published by Springer. This book was released on 2017-06-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers essential insights into c-Si based solar cells and fundamentals of reflection, refraction, and light trapping. The basic physics and technology for light trapping in c-Si based solar cells are covered, from traditional to advanced light trapping structures. Further, the book discusses the latest developments in plasmonics for c-Si solar cell applications, along with their future scope and the requirements for further research. The book offers a valuable guide for graduate students, researchers and professionals interested in the latest trends in solar cell technologies.
