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	<title>BookPasta.net &#187; Math</title>
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	<link>http://bookpasta.net</link>
	<description>and eBookz for all</description>
	<lastBuildDate>Mon, 21 Jun 2010 02:57:40 +0000</lastBuildDate>
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		<title>Street-Fighting Mathematics</title>
		<link>http://bookpasta.net/blog/2010/06/15/street-fighting-mathematics/</link>
		<comments>http://bookpasta.net/blog/2010/06/15/street-fighting-mathematics/#comments</comments>
		<pubDate>Tue, 15 Jun 2010 14:10:23 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[problem-solving]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=559</guid>
		<description><![CDATA[In problem solving, as in street fighting, rules are for fools: do whatever works—don&#8217;t just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<item>
		<title>Design of Observational Studies</title>
		<link>http://bookpasta.net/blog/2010/01/18/design-of-observational-studies/</link>
		<comments>http://bookpasta.net/blog/2010/01/18/design-of-observational-studies/#comments</comments>
		<pubDate>Mon, 18 Jan 2010 21:32:36 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Econometrics]]></category>
		<category><![CDATA[Statistics]]></category>
		<category><![CDATA[observational study]]></category>
		<category><![CDATA[sensitivity analysis]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=545</guid>
		<description><![CDATA[The concepts of causal inference in experiments and observational studies are introduced using the elementary mathematics of independent coin flips to determine treatment assignment The basic tools of multivariate matching – such as propensity scores, optimal matching, full matching, fine balance, risk set matching – are introduced with many examples and with reference to implementation in R The key source of uncertainty in an observational study is possible bias from covariates that were not measured. The ability of competing designs to separate treatment effects from unmeasured biases – that is, the design sensitivity – is discussed in detail for the first time in book form An observational study is an empiric investigation of effects caused by treatments when randomized experimentation is unethical or infeasible. Observational studies are common in most fields that study the effects of treatments on people, including medicine, economics, epidemiology, education, psychology, political science and sociology. The quality and strength of evidence provided by an observational study is determined largely by its design. Design of Observational Studies is both an introduction to statistical inference in observational studies and a detailed discussion of the principles that guide the design of observational studies. Design of Observational Studies is divided [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<item>
		<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>
		<wfw:commentRss>http://bookpasta.net/blog/2009/12/01/algebraic-geometry/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
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		<item>
		<title>The Number Sense: How the Mind Creates Mathematics</title>
		<link>http://bookpasta.net/blog/2009/11/30/the-number-sense-how-the-mind-creates-mathematics/</link>
		<comments>http://bookpasta.net/blog/2009/11/30/the-number-sense-how-the-mind-creates-mathematics/#comments</comments>
		<pubDate>Mon, 30 Nov 2009 17:00:28 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[History]]></category>
		<category><![CDATA[Psychology]]></category>
		<category><![CDATA[cognition]]></category>
		<category><![CDATA[learning]]></category>
		<category><![CDATA[mathematics]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=449</guid>
		<description><![CDATA[Our understanding of how the human brain performs mathematicalcalculations is far from complete. But in recent years there have been manyexciting scientific discoveries, some aided by new imaging techniques&#8211;whichallow us for the first time to watch the living mind at work&#8211;and others byingenious experiments conducted by researchers all over the world. There arestill perplexing mysteries&#8211;how, for instance, do idiot savants perform almostmiraculous mathematical feats?&#8211;but the picture is growing steadily clearer. InThe Number Sense, Stanislas Dehaene offers general readers a first look at theserecent stunning discoveries, in an enlightening exploration of the mathematicalmind.Dehaene, a mathematician turned cognitive neuropsychologist, begins withthe eye-opening discovery that animals&#8211;including rats, pigeons, raccoons, andchimpanzees&#8211;can perform simple mathematical calculations, and he describesingenious experiments that show that human infants also have a rudimentarynumber sense (American scientist Karen Wynn, for instance, using just a fewMickey Mouse toys and a small puppet theater, proved that five-month-old infantsalready have the ability to add and subtract). Further, Dehaene suggests thatthis rudimentary number sense is as basic to the way the brain understands theworld as our perception of color or of objects in space, and, like these otherabilities, our number sense is wired into the brain. But how then did the brainleap from this [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<item>
		<title>The Architecture of Modern Mathematics</title>
		<link>http://bookpasta.net/blog/2009/11/29/the-architecture-of-modern-mathematics/</link>
		<comments>http://bookpasta.net/blog/2009/11/29/the-architecture-of-modern-mathematics/#comments</comments>
		<pubDate>Mon, 30 Nov 2009 01:29:19 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[History]]></category>
		<category><![CDATA[science]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=444</guid>
		<description><![CDATA[This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.]]></description>
		<wfw:commentRss>http://bookpasta.net/blog/2009/11/29/the-architecture-of-modern-mathematics/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<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>
		<wfw:commentRss>http://bookpasta.net/blog/2009/11/29/a-panoramic-view-of-riemannian-geometry/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>A Course of Modern Analysis</title>
		<link>http://bookpasta.net/blog/2009/11/29/a-course-of-modern-analysis/</link>
		<comments>http://bookpasta.net/blog/2009/11/29/a-course-of-modern-analysis/#comments</comments>
		<pubDate>Mon, 30 Nov 2009 00:16:14 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Analysis]]></category>
		<category><![CDATA[equation]]></category>
		<category><![CDATA[function]]></category>
		<category><![CDATA[positive]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=435</guid>
		<description><![CDATA[This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.]]></description>
		<wfw:commentRss>http://bookpasta.net/blog/2009/11/29/a-course-of-modern-analysis/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
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		<item>
		<title>Mathematics for Physicists and Engineers</title>
		<link>http://bookpasta.net/blog/2009/11/24/mathematics-for-physicists-and-engineers/</link>
		<comments>http://bookpasta.net/blog/2009/11/24/mathematics-for-physicists-and-engineers/#comments</comments>
		<pubDate>Wed, 25 Nov 2009 00:20:47 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Fundamental]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[engineering]]></category>
		<category><![CDATA[physicist]]></category>
		<category><![CDATA[textbook]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=395</guid>
		<description><![CDATA[Mathematics is the basic language in physics and engineering. It is an essential tool which first and second year students have to master as soon as possible. A lack of competence in mathematics is the main reason for failure and drop out in the beginning periods of study. This textbook offers an accessible and highly approved approach which is characterised by the combination of the textbook with a detailed study guide on an accompanying CD. This study guide divides the whole learning task into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with the study guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowly rising the students gain confidence and experience their own progress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case of individual needs supplementary exercises and applications. So the sequence of the [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<item>
		<title>Graphs, Networks and Algorithms</title>
		<link>http://bookpasta.net/blog/2009/11/23/graphs-networks-and-algorithms/</link>
		<comments>http://bookpasta.net/blog/2009/11/23/graphs-networks-and-algorithms/#comments</comments>
		<pubDate>Tue, 24 Nov 2009 00:53:40 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Algorithms]]></category>
		<category><![CDATA[Combinatorics]]></category>
		<category><![CDATA[algorithms]]></category>
		<category><![CDATA[complexity]]></category>
		<category><![CDATA[optimization]]></category>

		<guid isPermaLink="false">http://bookpasta.net/?p=388</guid>
		<description><![CDATA[&#8220;&#8230;. The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. &#8230; the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. &#8230;&#8221; K.Engel, Mathematical Reviews 2002 The substantial development effort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons, Zentralblatt für [...]]]></description>
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