A Panoply Of Polygons
DOWNLOAD
Download A Panoply Of Polygons PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Panoply Of Polygons book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Panoply Of Polygons
DOWNLOAD
Author : Claudi Alsina
language : en
Publisher: American Mathematical Society
Release Date : 2023-01-30
A Panoply Of Polygons written by Claudi Alsina and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-30 with Mathematics categories.
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.
Polygons Polyominoes And Polycubes
DOWNLOAD
Author : A. J. Guttmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-18
Polygons Polyominoes And Polycubes written by A. J. Guttmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-18 with Science categories.
The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many other areas, including economics, the social sciences, the biological sciences and even to traf?c models. It is the widespread applicab- ity of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. Here we are concerned with collecting together most of what is known about polygons, and the closely related problems of polyominoes. We describe what is known, taking care to distinguish between what has been proved, and what is c- tainlytrue,but has notbeenproved. Theearlierchaptersfocusonwhatis knownand on why the problems have not been solved, culminating in a proof of unsolvability, in a certain sense. The next chapters describe a range of numerical and theoretical methods and tools for extracting as much information about the problem as possible, in some cases permittingexactconjecturesto be made.
The Elements
DOWNLOAD
Author : Philip Ball
language : en
Publisher: University of Chicago Press
Release Date : 2021-09-27
The Elements written by Philip Ball and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Science categories.
The classical elements -- The antique metals -- Alchemical elements -- The new metals -- Chemistry golden age -- Electrical discoveries -- The radiant age -- The nuclear age.
Geographical Information Systems Principles
DOWNLOAD
Author : David J. Maguire
language : en
Publisher:
Release Date : 1991
Geographical Information Systems Principles written by David J. Maguire and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Geographic information systems categories.
A Cornucopia Of Quadrilaterals
DOWNLOAD
Author : Claudi Alsina
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-10
A Cornucopia Of Quadrilaterals written by Claudi Alsina 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 2020-02-10 with Education categories.
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.
Geometry Revealed
DOWNLOAD
Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23
Geometry Revealed written by Marcel Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Mathematics categories.
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.
Landscapes Of Communism
DOWNLOAD
Author : Owen Hatherley
language : en
Publisher: New Press, The
Release Date : 2016-03-01
Landscapes Of Communism written by Owen Hatherley and has been published by New Press, The this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-01 with History categories.
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?
Automated Solution Of Differential Equations By The Finite Element Method
DOWNLOAD
Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24
Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-24 with Computers categories.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Knot Theory And Its Applications
DOWNLOAD
Author : Kunio Murasugi
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29
Knot Theory And Its Applications written by Kunio Murasugi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-29 with Mathematics categories.
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.
Software And Cd Rom Reviews On File
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1998
Software And Cd Rom Reviews On File written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with CD-ROMs categories.