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Introduction to Classical Geometries
This book develops the geometric intuition of the reader by examining the symmetries (or rigid motions) of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the mathematically rich two-dimensional case, although some aspects of 3- or $n$-dimensional geometries are included. Basic notions of algebra and analysis are used to convey better understanding of various concepts and results. Concepts of geometry are presented in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry.
Mathematical Reviews
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Directorio
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Hyperborder
Roving vigilantes, fear-mongering politicians, hysterical pundits, and the looming shadow of a seven hundred-mile-long fence: the US–Mexican border is one of the most complex and dynamic areas on the planet today. Hyperborder provides the most nuanced portrait yet of this dynamic region. Author Fernando Romero presents a multidisciplinary perspective informed by interviews with numerous academics, researchers, and organizations. Provocatively designed in the style of other kinetic large-scale studies like Rem Koolhaas's Content and Bruce Mau’s Massive Change, Hyperborder is an exhaustively researched report from the front lines of the border debate.
Finite Element Analysis Concepts
Young engineers are often required to utilize commercial finite element software without having had a course on finite element theory. That can lead to computer-aided design errors. This book outlines the basic theory, with a minimum of mathematics, and how its phases are structured within a typical software. The importance of estimating a solution, or verifying the results, by other means is emphasized and illustrated. The book also demonstrates the common processes for utilizing the typical graphical icon interfaces in commercial codes. in particular, the book uses and covers the widely utilized SolidWorks solid modeling and simulation system to demonstrate applications in heat transfer, stress analysis, vibrations, buckling, and other fields. The book, with its detailed applications, will appeal to upper-level undergraduates as well as engineers new to industry.
