Barycentric Calculus in Euclidean and Hyperbolic Geometry is popular PDF and ePub book, written by Abraham A. Ungar in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Barycentric Calculus in Euclidean and Hyperbolic Geometry can be Read Online from any device for your convenience.
Barycentric Calculus in Euclidean and Hyperbolic Geometry Book PDF Summary
The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle centers in Euclidean geometry. As such, the book uncovers magnificent unifying notions that Euclidean and hyperbolic triangle centers share. In his earlier books the author adopted Cartesian coordinates, trigonometry and vector algebra for use in hyperbolic geometry that is fully analogous to the common use of Cartesian coordinates, trigonometry and vector algebra in Euclidean geometry. As a result, powerful tools that are commonly available in Euclidean geometry became available in hyperbolic geometry as well, enabling one to explore hyperbolic geometry in novel ways. In particular, this new book establishes hyperbolic barycentric coordinates that are used to determine various hyperbolic triangle centers just as Euclidean barycentric coordinates are commonly used to determine various Euclidean triangle centers. The hunt for Euclidean triangle centers is an old tradition in Euclidean geometry, resulting in a repertoire of more than three thousand triangle centers that are known by their barycentric coordinate representations. The aim of this book is to initiate a fully analogous hunt for hyperbolic triangle centers that will broaden the repertoire of hyperbolic triangle centers provided here.
Detail Book of Barycentric Calculus in Euclidean and Hyperbolic Geometry PDF
- Author : Abraham A. Ungar
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 9789814304931
- Genre : Mathematics
- Total Page : 360 pages
- Language : English
- PDF File Size : 19,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Barycentric Calculus in Euclidean and Hyperbolic Geometry by Abraham A. Ungar, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.