LEADER 00000cam a2200577Ii 4500 001 on1090240401 003 OCoLC 005 20200717185105.6 006 m o d 007 cr cnu|||unuuu 008 190320s2019 sz ob 001 0 eng d 019 1090375253 020 9783037196960|q(electronic book) 020 3037196963|q(electronic book) 020 |z9783037191965 035 (OCoLC)1090240401|z(OCoLC)1090375253 040 N$T|beng|erda|epn|cN$T|dN$T|dCUY|dOCLCF|dYDX 049 RIDW 050 4 QA685 072 7 MAT|x012000|2bisacsh 082 04 516.9|223 084 03-xx|a51-xx|a52-xx|a53-xx|2msc 090 QA685 245 00 Eighteen essays in non-Euclidean geometry /|cVincent Alberge, Athanase Papadopoulos, editors. 264 1 Zürich :|bEuropean Mathematical Society Publishing House, |c[2019] 264 4 |c©2019 300 1 online resource. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 IRMA lectures in mathematics and theoretical physics ;|v29 504 Includes bibliographical references and index. 505 00 |tArea in non-Euclidean geometry /|rNorbert A'Campo, Athanase Papadopoulos --|tArea formula for hyperbolic triangles /|rElena Frenkel, Weixu Su --|tOn a problem of Schubert in hyperbolic geometry /|rVincent Alberge, Elena Frenkel --|tOn a theorem of Lambert: medians in spherical and hyperbolic geometries /|rHimalaya Senapati -- |tInscribing a triangle in a circle in spherical geometry /|rHimalaya Senapati --|tMonotonicity in spherical and hyperbolic triangles /|rHimalaya Senapati --|tDe Tilly's mechanical view on hyperbolic and spherical geometries / |rDmitriy Slutskiy --|tGauss-Bonnet theorem and the geometry of surfaces /|rSon Lam Ho --|tOn the non- existence of a perfect map from the 2-sphere to the Euclidean plane /|rCharalampos Charitos, Ioannis Papadoperakis --|tArea preserving maps from the sphere to the Euclidean plane /|rCharalampos Charitos --|tArea and volume in non-Euclidean geometry /|rNikolay Abrosimov, Alexander Mednykh --|tStatics and kinematics of frameworks in Euclidean and non-Euclidean geometry /|rIvan Izmestiev --|tContributions to non-Euclidean geometry I /|rEduard Study --|tNotes on Eduard Study's paper "Contributions to non-Euclidean geometry I" /|rAnnette A'Campo-Neuen, Athanase Papadopoulos --|tSpherical and hyperbolic conics /|rIvan Izmestiev --|tSpherical, hyperbolic, and other projective geometries: convexity, duality, transitions / |rFrançois Fillastre, Andrea Seppi --|tHermitian trigonometry /|rBoumediene Et-Taoui --|tA theorem on equiareal triangles with a fixed base /|rVictor Pambuccian. 520 This book consists of a series of self-contained essays in non-Euclidean geometry in a broad sense, including the classical geometries of constant curvature (spherical and hyperbolic), de Sitter, anti-de Sitter, co-Euclidean, co- Minkowski, Hermitian geometries, and some axiomatically defined geometries. Some of these essays deal with very classical questions and others address problems that are at the heart of present day research, but all of them are concerned with fundamental topics.All the essays are self- contained and most of them can be understood by the general educated mathematician. They should be useful to researchers and to students of non-Euclidean geometry, and they are intended to be references for the various topics they present. 588 0 Online resource ; title from PDF title page (EBSCO, viewed April 3, 2019). 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Geometry, Non-Euclidean.|0https://id.loc.gov/authorities/ subjects/sh85054155 650 7 Geometry, Non-Euclidean.|2fast|0https://id.worldcat.org/ fast/940928 655 4 Electronic books. 700 1 Alberge, Vincent,|0https://id.loc.gov/authorities/names/ no2019128009|eeditor. 700 1 Papadopoulos, Athanase,|0https://id.loc.gov/authorities/ names/n86030219|eeditor. 830 0 IRMA lectures in mathematics and theoretical physics ; |0https://id.loc.gov/authorities/names/n2002015605|v29. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=2087513|zOnline ebook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this ebook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 00 |d20200727|cEBSCO|tEBSCOebooksacademic NEW June-July 17 7032|lridw 994 92|bRID