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	<title>BookPasta.net &#187; Algebra</title>
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	<description>and eBookz for all</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>
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				<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>Classical Algebra: Its Nature, Origins, and Uses</title>
		<link>http://bookpasta.net/blog/2009/11/15/classical-algebra-its-nature-origins-and-uses/</link>
		<comments>http://bookpasta.net/blog/2009/11/15/classical-algebra-its-nature-origins-and-uses/#comments</comments>
		<pubDate>Mon, 16 Nov 2009 04:55:13 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Algebra]]></category>
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		<description><![CDATA[This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject. Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precursors. This book successfully ties together the disconnect between classical and modern algebraand provides readers with answers to many fascinating questions that typically go unexamined, including: What is algebra about? How did it arise? What uses does it have? How did it develop? What problems and issues have occurred in its history? How were these problems and issues resolved? The author answers these questions and more, shedding light on a rich history of the subject—from ancient and medieval times to the present. Structured as eleven &#8220;lessons&#8221; that are intended to give the reader further insight on classical algebra, each chapter contains thought-provoking problems and stimulating questions, for which complete answers are provided in an [...]]]></description>
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		<title>Linear Algebra</title>
		<link>http://bookpasta.net/blog/2009/11/07/linear-algebra/</link>
		<comments>http://bookpasta.net/blog/2009/11/07/linear-algebra/#comments</comments>
		<pubDate>Sun, 08 Nov 2009 05:13:11 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[gauss]]></category>
		<category><![CDATA[linear]]></category>
		<category><![CDATA[matrix]]></category>

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		<description><![CDATA[The coverage is standard: linear systems and Gauss&#8217; method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: A semester of calculus. Students with three semesters of calculus can skip a few sections. Applications: Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or for small group work. What makes it different? The approach is developmental. Although the presentation is focused on covering the requisite material by proving things, it does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.]]></description>
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