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	<title>BookPasta.net &#187; Geometry</title>
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	<link>http://bookpasta.net</link>
	<description>and eBookz for all</description>
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		<title>Serious Fun with Flexagons</title>
		<link>http://bookpasta.net/blog/2009/12/25/serious-fun-with-flexagons/</link>
		<comments>http://bookpasta.net/blog/2009/12/25/serious-fun-with-flexagons/#comments</comments>
		<pubDate>Fri, 25 Dec 2009 21:29:54 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Geometry]]></category>
		<category><![CDATA[History]]></category>
		<category><![CDATA[flexagons]]></category>
		<category><![CDATA[geometry]]></category>
		<category><![CDATA[mathematics]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=526</guid>
		<description><![CDATA[A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topic, and as the subject of serious mathematical study. Workable paper models of flexagons are easy to make and entertaining to manipulate. The mathematics of flexagons is complex, and how a flexagon works is not immediately obvious on examination of a paper model. Recent geometric analysis, included in the book, has improved theoretical understanding of flexagons, especially relationships between different types. This profusely illustrated book is arranged in a logical order appropriate for a textbook on the geometry of flexagons. It is written so that it can be enjoyed at both the recreational mathematics level, and at the serious mathematics level. The only prerequisite is some knowledge of elementary geometry, including properties of polygons. A feature of the book is a compendium of over 100 nets for making paper models of some of the more interesting flexagons, chosen to complement the text. These are accurately drawn and reproduced at half full size. Many of the nets have not [...]]]></description>
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		<title>Algebraic Geometry</title>
		<link>http://bookpasta.net/blog/2009/12/01/algebraic-geometry/</link>
		<comments>http://bookpasta.net/blog/2009/12/01/algebraic-geometry/#comments</comments>
		<pubDate>Wed, 02 Dec 2009 00:41:15 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Geometry]]></category>
		<category><![CDATA[closed field]]></category>
		<category><![CDATA[cohomology]]></category>
		<category><![CDATA[isomorphism]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=469</guid>
		<description><![CDATA[Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of &#8220;Residues and Duality&#8221; (1966), &#8220;Foundations of Projective Geometry (1968), &#8220;Ample Subvarieties of Algebraic Varieties&#8221; (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively.Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.]]></description>
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		<title>A Panoramic View of Riemannian Geometry</title>
		<link>http://bookpasta.net/blog/2009/11/29/a-panoramic-view-of-riemannian-geometry/</link>
		<comments>http://bookpasta.net/blog/2009/11/29/a-panoramic-view-of-riemannian-geometry/#comments</comments>
		<pubDate>Mon, 30 Nov 2009 00:45:09 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Analysis]]></category>
		<category><![CDATA[Geometry]]></category>
		<category><![CDATA[curvature]]></category>
		<category><![CDATA[manifold]]></category>
		<category><![CDATA[riemann]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=439</guid>
		<description><![CDATA[Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.]]></description>
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		<title>Families of conformally covariant differential operators, Q-curvature and holography</title>
		<link>http://bookpasta.net/blog/2009/11/04/families-of-conformally-covariant-differential-operators-q-curvature-and-holography/</link>
		<comments>http://bookpasta.net/blog/2009/11/04/families-of-conformally-covariant-differential-operators-q-curvature-and-holography/#comments</comments>
		<pubDate>Thu, 05 Nov 2009 05:10:47 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Geometry]]></category>
		<category><![CDATA[curvature]]></category>
		<category><![CDATA[geometry]]></category>
		<category><![CDATA[holography]]></category>
		<category><![CDATA[hyperbolic]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=45</guid>
		<description><![CDATA[The central object of the book is a subtle scalar Riemannian curvature quantity in even dimensions which is called Branson’s Q-curvature. It was introduced by Thomas Branson about 15 years ago in connection with an attempt to systematise the structure of conformal anomalies of determinants of conformally covariant differential operators on Riemannian manifolds. Since then, numerous relations of Q-curvature to other subjects have been discovered, and the comprehension of its geometric significance in four dimensions was substantially enhanced through the studies of higher analogues of the Yamabe problem. The book attempts to reveal some of the structural properties of Q-curvature in general dimensions. This is achieved by the development of a new framework for such studies. One of the main properties of Q-curvature is that its transformation law under conformal changes of the metric is governed by a remarkable linear differential operator: a conformally covariant higher order generalization of the conformal Laplacian. In the new approach, these operators and the associated Q-curvatures are regarded as derived quantities of certain conformally covariant families of differential operators which are naturally associated to hypersurfaces in Riemannian manifolds. This method is at the cutting edge of several central developments in conformal differential geometry in [...]]]></description>
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