LEADER 03048oam 2200553I 450 001 9910787261603321 005 20230807212114.0 010 $a0-429-17474-8 010 $a1-4822-3668-0 024 7 $a10.1201/b17858 035 $a(CKB)3710000000303681 035 $a(EBL)1659311 035 $a(SSID)ssj0001380846 035 $a(PQKBManifestationID)11860357 035 $a(PQKBTitleCode)TC0001380846 035 $a(PQKBWorkID)11371346 035 $a(PQKB)11234152 035 $a(MiAaPQ)EBC1659311 035 $a(OCoLC)900602677 035 $a(EXLCZ)993710000000303681 100 $a20180331h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic hyperbolic geometry in N dimensions $ean introduction /$fAbraham A. Ungar, Mathematics Department, North Dakota State University, Fargo, North Dakota, USA 210 1$aBoca Raton :$cTaylor & Francis,$d[2015] 210 4$dİ2015 215 $a1 online resource (616 p.) 225 0 $aA Science Publishers Book 300 $aA CRC title. 300 $aA Science Publishers book. 311 $a1-322-63526-9 311 $a1-4822-3667-2 320 $aIncludes bibliographical references. 327 $aFront Cover; Preface; Contents; List of Figures; Author's Biography; 1. Introduction; Part I: Einstein Gyrogroups and Gyrovector Spaces; 2. Einstein Gyrogroups; 3. Einstein Gyrovector Spaces ; 4. Relativistic Mass Meets Hyperbolic Geometry; Part II: Mathematical Tools for Hyperbolic Geometry; 5. Barycentric and Gyrobarycentric Coordinates; 6. Gyroparallelograms and Gyroparallelotopes; 7. Gyrotrigonometry; Part III: Hyperbolic Triangles and Circles; 8. Gyrotriangles and Gyrocircles; 9. Gyrocircle Theorems; Part IV: Hyperbolic Simplices, Hyperplanes and Hyperspheres in N Dimensions 327 $a10. Gyrosimplex Gyrogeometry11. Gyrotetrahedron Gyrogeometry; Part V: Hyperbolic Ellipses and Hyperbolas; 12. Gyroellipses and Gyrohyperbolas ; Part VI: Thomas Precession; 13. Thomas Precession; Notations and Special Symbols; Bibliography 330 $aThe concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language that sheds natural light on hyperbolic geometry and special relativity. Several authors have successfully employed the author's gyroalgebra in their exploration for novel results. Franc?oise Chatelin noted in her book, and elsewhere, that the computation la 606 $aGeometry, Hyperbolic 615 0$aGeometry, Hyperbolic. 676 $a516.9 700 $aUngar$b Abraham A.$0850286 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910787261603321 996 $aAnalytic hyperbolic geometry in N dimensions$93779054 997 $aUNINA LEADER 03954oam 2200565I 450 001 9910787839803321 005 20230807204219.0 010 $a0-429-07585-5 010 $a1-4822-0991-8 024 7 $a10.1201/b17634 035 $a(CKB)2670000000560299 035 $a(EBL)1715234 035 $a(SSID)ssj0001349637 035 $a(PQKBManifestationID)11810157 035 $a(PQKBTitleCode)TC0001349637 035 $a(PQKBWorkID)11403260 035 $a(PQKB)10323867 035 $a(MiAaPQ)EBC1715234 035 $a(OCoLC)893735829 035 $a(EXLCZ)992670000000560299 100 $a20180331h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aCell membrane nanodomains $efrom biochemistry to nanoscopy /$fedited by Alessandra Cambi, Diane S. Lidke 210 1$aBoca Raton :$cTaylor & Francis,$d[2015] 210 4$dİ2015 215 $a1 online resource (496 p.) 300 $aDescription based upon print version of record. 311 $a1-322-63819-5 311 $a1-4822-0989-6 320 $aIncludes bibliographical references. 327 $aFront Cover; Contents; Preface; Acknowledgments; Editors; Contributors; Chapter 1: Giant Unilamellar Vesicles (GUVs) as a Laboratory to Study Mesoscopic Lipid Domains in Membranes; Chapter 2: An Active Basis for the Nanoscopic Organization of Membrane Components in Living Cell Membranes; Chapter 3: Functional Role of Membrane Lipids in EGF Receptor Dynamics and Regulation; Chapter 4: Tetraspanins as Master Organizers of the Plasma Membrane; Chapter 5: B Cell Receptor Signaling; Chapter 6: Imaging the Complexity, Plasticity, and Dynamics of Caveolae 327 $aChapter 7: Membrane Microdomains Enriched in Ceramides : From Generation to FunctionChapter 8: Domains of Phosphoinositides in the Plasma Membrane; Chapter 9: Signaling Phagocytosis : Role of Specialized Lipid Domains; Chapter 10: Fluctuation Spectroscopy Methods for the Analysis of Membrane Processes; Chapter 11: Spatial Intensity Distribution Analysis (SpIDA) : A Method to Probe Membrane Receptor Organization in Intact Cells; Chapter 12: Live-Cell TIRF Imaging of Molecular Assembly and Plasma Membrane Topography; Chapter 13: Laurdan Identifies Different Lipid Membranes in Eukaryotic Cells 327 $aChapter 14: Development of Optical Highlighter Fluorescent Proteins and Their Applications in Super-Resolution Fluorescence MicroscopyChapter 15: Targeting Dyes for Biology; Chapter 16: Combined Topography, Recognition, and Fluorescence Measurements on Cells; Chapter 17: Super-Resolution Imaging with Single-Molecule Localization; Chapter 18: Visualization and Resolution in Localization Microscopy; Chapter 19: Molecular Plasma Membrane Dynamics Dissected by STED Nanoscopy and Fluorescence Correlation Spectroscopy (STED-FCS) 327 $aChapter 20: Nanophotonic Approaches for Nanoscale Imaging and Single-Molecule Detection at Ultrahigh ConcentrationsBack Cover 330 $aCell Membrane Nanodomains: From Biochemistry to Nanoscopy describes recent advances in our understanding of membrane organization, with a particular focus on the cutting-edge imaging techniques that are making these new discoveries possible. With contributions from pioneers in the field, the book explores areas where the application of these novel techniques reveals new concepts in biology. It assembles a collection of works where the integration of membrane biology and microscopy emphasizes the interdisciplinary nature of this exciting field.Beginning with a broad description of membrane orga 606 $aMembrane proteins 615 0$aMembrane proteins. 676 $a572/.696 702 $aCambi$b Alessandra 702 $aLidke$b Diane S. 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910787839803321 996 $aCell membrane nanodomains$93806793 997 $aUNINA