Download or read book A Panoply of Polygons written by Claudi Alsina and published by American Mathematical Society. This book was released on 2023-01-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panoply of Polygons presents and organizes hundreds of beautiful, surprising and intriguing results about polygons with more than four sides. (A Cornucopia of Quadrilaterals, a previous volume by the same authors, thoroughly explored the properties of four-sided polygons.) This panoply consists of eight chapters, one dedicated to polygonal basics, the next ones dedicated to pentagons, hexagons, heptagons, octagons and many-sided polygons. Then miscellaneous classes of polygons are explored (e.g., lattice, rectilinear, zonogons, cyclic, tangential) and the final chapter presents polygonal numbers (figurate numbers based on polygons). Applications, real-life examples, and uses in art and architecture complement the presentation where many proofs with a visual nature are included. A Panoply of Polygons can be used as a supplement to a high school or college geometry course. It can also be used as a source for group projects or extra-credit assignments. It will appeal, and be accessible to, anyone with an interest in plane geometry. Claudi Alsina and Roger Nelsen are, jointly and individually, the authors of thirteen previous MAA/AMS books. Those books, and this one, celebrate and illuminate the power of visualization in learning, teaching, and creating mathematics.
Download or read book Exploring Discrete Geometry written by Thomas Q. Sibley and published by American Mathematical Society. This book was released on 2024-07-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triangles or finding the minimum number of “guards” for a polygon (“art gallery” problem). These early explorations build intuition and set the stage. Variations on the initial problems stretch this intuition in new directions. These variations on problems together with growing intuition and understanding illustrate the theme of this book: “When you have answered the question, it is time to question the answer.” Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.
Download or read book TITS POLYGONS written by BERNHARD. MHLHERR and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Software and CD ROM Reviews on File written by and published by . This book was released on 1998 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Elements written by Philip Ball and published by University of Chicago Press. This book was released on 2021-09-27 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical elements -- The antique metals -- Alchemical elements -- The new metals -- Chemistry golden age -- Electrical discoveries -- The radiant age -- The nuclear age.
Download or read book Scientific American written by and published by . This book was released on 2002 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book European Scientific Notes written by and published by . This book was released on 1978 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry Revealed written by Marcel Berger and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools of varying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining the results are elucidated. These are conceptual notions, each built "above" the preceding and permitting an increase in abstraction, represented metaphorically by Jacob's ladder with its rungs: the 'ladder' in the Old Testament, that angels ascended and descended... In all this, the aim of the book is to demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called "elementary" geometry is very much alive and at the very heart of the work of numerous contemporary mathematicians. It is also shown that there are innumerable paths yet to be explored and concepts to be created. The book is visually rich and inviting, so that readers may open it at random places and find much pleasure throughout according their own intuitions and inclinations. Marcel Berger is t he author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with an affinity for geometry.
Download or read book Geographical Information Systems Principles written by David J. Maguire and published by . This book was released on 1991 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Welcome to Your Designer Planet written by Richard Leviton and published by iUniverse. This book was released on 2007-09-05 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: We now live in the time of the Gaian hierophant. This is the one who reveals and shows us how to relate to the sacred aspects of Gaia, our planet. Who is this hierophant? Each of us, when we join the campaign with Gaia against the desecration of our natural environment. But first we have to discover what the Earth really is. The Earth's thousands of sacred sites hold a secret: they are functional parts of the planet's geomantic body, consciousness nodes in the Earth's subtle body. Each veils a Light temple, each once known widely and remembered in myth, and Welcome to Your Designer Planet! documents 165 different kinds. The Earth is not an accident of the cosmos, but was designed specifically for humans as an extended Mystery temple primed to support and enhance our greater awareness. And the designers intended that humans help maintain it. Want to help the ecosystem and modulate global warming and climate change? Plug yourself into the Earth's Light grid through your nearest sacred site and start helping. Earth Mysteries researcher Richard Leviton presents a working model of the Earth's geomantic reality based on 24 years of research. The world's myths are the doorway into this fantastic domain of the Earth's visionary geography, showing us where to go and what to do and even what kinds of spiritual beings to expect to see. The future of the Earth is in our hands. Here are some pages from its design manual showing us how to fine-tune our wonderful host planet.
Download or read book Fonts Encodings written by Yannis Haralambous and published by "O'Reilly Media, Inc.". This book was released on 2007-09-26 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: The era of ASCII characters on green screens is long gone. Industry leaders such as Apple, HP, IBM, Microsoft, and Oracle have adopted the Unicode Worldwide Character Standard. This book explains information on fonts and typography that software and web developers need to know to get typography and fonts to work properly.
Download or read book Muqarnas Volume 24 written by Gülru Necipoglu and published by BRILL. This book was released on 2007-12-31 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Muqarnas is sponsored by The Aga Khan Program for Islamic Architecture at Harvard University and the Massachusetts Institute of Technology, Cambridge, Massachusetts. In Muqarnas articles are being published on all aspects of Islamic visual culture, historical and contemporary, as well as articles dealing with unpublished textual primary sources.
Download or read book Landscapes of Communism written by Owen Hatherley and published by New Press, The. This book was released on 2016-03-01 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: When communism took power in Eastern Europe it remade cities in its own image, transforming everyday life and creating sweeping boulevards and vast, epic housing estates in an emphatic declaration of a noncapitalist idea. The regimes that built them are now dead and long gone, but from Warsaw to Berlin, Moscow to postrevolutionary Kiev, the buildings remain, often populated by people whose lives were scattered by the collapse of communism. Landscapes of Communism is a journey of historical discovery, plunging us into the lost world of socialist architecture. Owen Hatherley, a brilliant, witty, young urban critic shows how power was wielded in these societies by tracing the sharp, sudden zigzags of official communist architectural style: the superstitious despotic rococo of high Stalinism, with its jingoistic memorials, palaces, and secret policemen’s castles; East Germany’s obsession with prefabricated concrete panels; and the metro systems of Moscow and Prague, a spectacular vindication of public space that went further than any avant-garde ever dared. Throughout his journeys across the former Soviet empire, Hatherley asks what, if anything, can be reclaimed from the ruins of Communism—what residue can inform our contemporary ideas of urban life?
Download or read book A Cornucopia of Quadrilaterals written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-02-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures—for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle can be assembled into a right triangle (the proof uses a quadrilateral and circumscribing circle); and results dating to Erdős: from any point in a triangle the sum of the distances to the vertices is at least twice as large as the sum of the distances to the sides. The book is suitable for serious study, but it equally rewards the reader who dips in randomly. It contains hundreds of challenging four-sided problems. Instructors of number theory, combinatorics, analysis, and geometry will find examples and problems to enrich their courses. The authors have carefully and skillfully organized the presentation into a variety of themes so the chapters flow seamlessly in a coherent narrative journey through the landscape of quadrilaterals. The authors' exposition is beautifully clear and compelling and is accessible to anyone with a high school background in geometry.
Download or read book How the Snake Lost its Legs written by Lewis I. Held, Jr and published by Cambridge University Press. This book was released on 2014-01-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: How did the zebra really get its stripes, and the giraffe its long neck? What is the science behind camel humps, leopard spots, and other animal oddities? Such questions have fascinated us for centuries, but the expanding field of evo-devo (evolutionary developmental biology) is now providing, for the first time, a wealth of insights and answers. Taking inspiration from Kipling's 'Just So Stories', this book weaves emerging insights from evo-devo into a narrative that provides startling explanations for the origin and evolution of traits across the animal kingdom. Held's unique and engaging style makes this narrative both enlightening and entertaining, guiding students and researchers through even complex concepts and encouraging a fuller understanding of the latest developments in the field. The first five chapters cover the first bilaterally symmetric animals, flies, butterflies, snakes, and cheetahs. A final chapter surveys recent results about a menagerie of other animals.
Download or read book Modeling of Next Generation Digital Learning Environments written by Marc Trestini and published by John Wiley & Sons. This book was released on 2018-10-25 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of social networks, OpenCourseWare, Massive Open Online Courses, informal remote learning and connectivist approaches to learning has made the analysis and evaluation of Digital Learning Environments more complex. Modeling these complex systems makes it possible to transcribe the phenomena observed and facilitates the study of these processes with the aid of specific tools. Once this essential step is taken, it then becomes possible to develop plausible scenarios from the observation of emerging phenomena and dominant trends. This book highlights the contribution of complex systems theory in the study of next generation Digital Learning Environments. It describes a realistic approach and proposes a range of effective management tools to achieve it.
Download or read book Compute s Quick Easy Guide to Desktop Publishing written by Dan McNeill and published by . This book was released on 1987 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
