LEADER 05571nam 22005175 450 001 9910480073903321 005 20200704013633.0 010 $a1-4612-0929-3 024 7 $a10.1007/978-1-4612-0929-4 035 $a(CKB)3400000000089326 035 $a(SSID)ssj0000806453 035 $a(PQKBManifestationID)11458459 035 $a(PQKBTitleCode)TC0000806453 035 $a(PQKBWorkID)10750463 035 $a(PQKB)10821816 035 $a(DE-He213)978-1-4612-0929-4 035 $a(MiAaPQ)EBC3073433 035 $a(PPN)237993716 035 $a(EXLCZ)993400000000089326 100 $a20121227d1992 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry of Surfaces$b[electronic resource] /$fby John Stillwell 205 $a1st ed. 1992. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1992. 215 $a1 online resource (XI, 236 p.) 225 1 $aUniversitext,$x0172-5939 300 $a"With 165 Figures." 311 $a0-387-97743-0 320 $aIncludes bibliographical references and index. 327 $a1. The Euclidean Plane -- 1.1 Approaches to Euclidean Geometry -- 1.2 Isometries -- 1.3 Rotations and Reflections -- 1.4 The Three Reflections Theorem -- 1.5 Orientation-Reversing Isometries -- 1.6 Distinctive Features of Euclidean Geometry -- 1.7 Discussion -- 2. Euclidean Surfaces -- 2.1 Euclid on Manifolds -- 2.2 The Cylinder -- 2.3 The Twisted Cylinder -- 2.4 The Torus and the Klein Bottle -- 2.5 Quotient Surfaces -- 2.6 A Nondiscontinuous Group -- 2.7 Euclidean Surfaces -- 2.8 Covering a Surface by the Plane -- 2.9 The Covering Isometry Group -- 2.10 Discussion -- 3. The Sphere -- 3.1 The Sphere S2 in ?3 -- 3.2 Rotations -- 3.3 Stereographic Projection -- 3.4 Inversion and the Complex Coordinate on the Sphere -- 3.5 Reflections and Rotations as Complex Functions -- 3.6 The Antipodal Map and the Elliptic Plane -- 3.7 Remarks on Groups, Spheres and Projective Spaces -- 3.8 The Area of a Triangle -- 3.9 The Regular Polyhedra -- 3.10 Discussion -- 4. The Hyperbolic Plane -- 4.1 Negative Curvature and the Half-Plane -- 4.2 The Half-Plane Model and the Conformai Disc Model -- 4.3 The Three Reflections Theorem -- 4.4 Isometries as Complex Functions -- 4.5 Geometric Description of Isometries -- 4.6 Classification of Isometries -- 4.7 The Area of a Triangle -- 4.8 The Projective Disc Model -- 4.9 Hyperbolic Space -- 4.10 Discussion -- 5. Hyperbolic Surfaces -- 5.1 Hyperbolic Surfaces and the Killing-Hopf Theorem -- 5.2 The Pseudosphere -- 5.3 The Punctured Sphere -- 5.4 Dense Lines on the Punctured Sphere -- 5.5 General Construction of Hyperbolic Surfaces from Polygons -- 5.6 Geometric Realization of Compact Surfaces -- 5.7 Completeness of Compact Geometric Surfaces -- 5.8 Compact Hyperbolic Surfaces -- 5.9 Discussion -- 6. Paths and Geodesies -- 6.1 Topological Classification of Surfaces -- 6.2 Geometric Classification of Surfaces -- 6.3 Paths and Homotopy -- 6.4 Lifting Paths and Lifting Homotopies -- 6.5 The Fundamental Group -- 6.6 Generators and Relations for the Fundamental Group -- 6.7 Fundamental Group and Genus -- 6.8 Closed Geodesic Paths -- 6.9 Classification of Closed Geodesic Paths -- 6.10 Discussion -- 7. Planar and Spherical Tessellations -- 7.1 Symmetric Tessellations -- 7.2 Conditions for a Polygon to Be a Fundamental Region -- 7.3 The Triangle Tessellations -- 7.4 Poincaré?s Theorem for Compact Polygons -- 7.5 Discussion -- 8. Tessellations of Compact Surfaces -- 8.1 Orbifolds and Desingularizations -- 8.2 Prom Desingularization to Symmetric Tessellation -- 8.3 Desingularizations as (Branched) Coverings -- 8.4 Some Methods of Desingularization -- 8.5 Reduction to a Permutation Problem -- 8.6 Solution of the Permutation Problem -- 8.7 Discussion -- References. 330 $aGeometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I welcome the opportunity to make a fresh start. Classical geometry is no longer an adequate basis for mathematics or physics-both of which are becoming increasingly geometric-and geometry can no longer be divorced from algebra, topology, and analysis. Students need a geometry of greater scope, and the fact that there is no room for geometry in the curriculum un­ til the third or fourth year at least allows us to assume some mathematical background. What geometry should be taught? I believe that the geometry of surfaces of constant curvature is an ideal choice, for the following reasons: 1. It is basically simple and traditional. We are not forgetting euclidean geometry but extending it enough to be interesting and useful. The extensions offer the simplest possible introduction to fundamentals of modem geometry: curvature, group actions, and covering spaces. 2. The prerequisites are modest and standard. A little linear algebra (mostly 2 x 2 matrices), calculus as far as hyperbolic functions, ba­ sic group theory (subgroups and cosets), and basic topology (open, closed, and compact sets). 410 0$aUniversitext,$x0172-5939 606 $aGeometry 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 615 0$aGeometry. 615 14$aGeometry. 676 $a516.3/62 700 $aStillwell$b John$4aut$4http://id.loc.gov/vocabulary/relators/aut$041902 906 $aBOOK 912 $a9910480073903321 996 $aGeometry of surfaces$9382818 997 $aUNINA LEADER 04678nam 22011893a 450 001 9910346859403321 005 20250203235428.0 010 $a9783039212309 010 $a3039212303 024 8 $a10.3390/books978-3-03921-230-9 035 $a(CKB)4920000000095073 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/54051 035 $a(ScCtBLL)b673131e-da05-4c38-be45-71afa5853d5a 035 $a(OCoLC)1126175312 035 $a(oapen)doab54051 035 $a(EXLCZ)994920000000095073 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMulti-Walled Carbon Nanotubes$fSimone Morais 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (184 p.) 311 08$a9783039212293 311 08$a303921229X 330 $aSince their discovery, multi-walled carbon nanotubes (MWCNTs) have received tremendous attention due to their unique electrical, optical, physical, chemical, and mechanical properties. Remarkable advances have been made in the synthesis, purification, structural characterization, functionalization, and application of MWCNTs. Their particular characteristics make them well suited for a plethora of applications in a number of fields, namely nanoelectronics, nanofluids, energy management, (electro)catalysis, materials science, construction of (bio)sensors based on different detection schemes, multifunctional nanoprobes for biomedical imaging, and sorbents for sample preparation or removal of contaminants from wastewater. They are also useful as anti-bacterial agents, drug delivery nanocarriers, etc. The current relevant application areas are countless. This Special Issue presents original research and review articles that address advances, trends, challenges, and future perspectives regarding synthetic routes, structural features, properties, behaviors, and industrial or scientific applications of MWCNTs in established and emerging areas. 606 $aTechnology: general issues$2bicssc 610 $agraphene oxide 610 $aMulti-Walled Carbon Nanotube (MWCNT) 610 $aelution 610 $agold nanoparticles 610 $aMHD 610 $aheck reaction 610 $adrug delivery 610 $acarbon-nanotubes 610 $awater based nanofluid 610 $azeolitic imidazolate framework 610 $aIonic liquid 610 $aelectroanalysis 610 $acurved stretching sheet 610 $amultiwalled carbon nanotubes 610 $alubricating oil additives 610 $ahydrophobic drugs 610 $aagricultural irrigation water 610 $apolarity 610 $acerium oxide 610 $aadsorption 610 $aelectrical properties 610 $anon-linear thermal radiation 610 $aelectrochemical properties 610 $ananomaterials 610 $aradar absorbing materials 610 $achloride diffusion 610 $aRAFT polymerization 610 $asynthesis methods 610 $agold(III) 610 $amechanical properties 610 $adissolution rate 610 $acarbon materials 610 $aelectrochemical sensors 610 $amagnetic solid phase extraction 610 $asilicone rubber 610 $aSingle-Walled Carbon Nanotube (SWCNT) 610 $aPd-CNT nanohybrids 610 $akinetics 610 $anonylphenol 610 $aboundary layer 610 $aCasson model 610 $asensing applications 610 $aorganochlorine pesticides 610 $acomposites 610 $amulti-wall carbon nanotube (MWCNT) 610 $apolymeric composites 610 $acarbon nanotubes 610 $astructural 610 $aazide-alkyne click chemistry 610 $afunctionalized carbon nanotubes 610 $aheat generation 610 $aEMI shielding 610 $agold(I) 610 $acement mortars 610 $asemi-homogeneous catalysis 610 $afunctionalized CNTs 610 $ananomedicine 610 $amulti-walled carbon nanotubes 610 $anumerical solution 610 $aPMMA 610 $aHAM 610 $acomplex permittivity 610 $athermal radiation 610 $astretching sheet 615 7$aTechnology: general issues 700 $aMorais$b Simone$01277973 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910346859403321 996 $aMulti-Walled Carbon Nanotubes$93012326 997 $aUNINA