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Author: Claudi Alsina Publisher: American Mathematical Society ISBN: 1470471841 Category : Mathematics Languages : en Pages : 281
Book Description
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.
Author: Claudi Alsina Publisher: American Mathematical Society ISBN: 1470471841 Category : Mathematics Languages : en Pages : 281
Book Description
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.
Author: Thomas Q. Sibley Publisher: American Mathematical Society ISBN: 1470478072 Category : Mathematics Languages : en Pages : 170
Book Description
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.
Author: Philip Ball Publisher: University of Chicago Press ISBN: 022677595X Category : Science Languages : en Pages : 225
Book Description
The classical elements -- The antique metals -- Alchemical elements -- The new metals -- Chemistry golden age -- Electrical discoveries -- The radiant age -- The nuclear age.
Author: Marcel Berger Publisher: Springer Science & Business Media ISBN: 3540709975 Category : Mathematics Languages : en Pages : 840
Book Description
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.
Author: Richard Leviton Publisher: iUniverse ISBN: 0595888402 Category : Body, Mind & Spirit Languages : en Pages : 688
Book Description
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.
Author: Yannis Haralambous Publisher: "O'Reilly Media, Inc." ISBN: 0596102429 Category : Computers Languages : en Pages : 1040
Book Description
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.
Author: Claudi Alsina
Author: Claudi Alsina
Author: Thomas Q. Sibley
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Author: Philip Ball
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Author: Marcel Berger
Author: David J. Maguire
Author: Richard Leviton
Author: Yannis Haralambous