LEADER 04279nam 22004815 450 001 9910254974603321 005 20230810231804.0 010 $a9783662494424 010 $a3662494426 024 7 $a10.1007/978-3-662-49442-4 035 $a(CKB)3710000000735045 035 $a(DE-He213)978-3-662-49442-4 035 $a(MiAaPQ)EBC4573273 035 $a(EXLCZ)993710000000735045 100 $a20160628d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElementary Mathematics from a Higher Standpoint $eVolume I: Arithmetic, Algebra, Analysis /$fby Felix Klein 205 $a1st ed. 2016. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2016. 215 $a1 online resource (XX, 312 p. 125 illus.) 300 $aIncludes indexes. 311 08$a9783662494400 311 08$a366249440X 327 $aFirst Part: Arithmetic. I. Calculating with Natural Numbers -- II. The First Extensions of the Notion of a Number -- III. Concerning Special Properties of Integers -- IV. Complex Numbers -- V. Concerning the Modern Development and the General Structure of Mathematics -- Second Part: Algebra. I. Real Equations with Real Unknowns -- II. Equations in the Field of Complex Quantities -- Third Part: I. Logarithmis and Exponential Functions -- The Goniometric Functions -- III. Concerning Infitesimal Calculus Proper -- Supplement: I. Transcendence of the Numbers e and pi -- II. Set Theory -- Appendix -- Index of Names -- Index of Contents. 330 $aThese three volumes constitute the first complete English translation of Felix Klein?s seminal series ?Elementarmathematik vom höheren Standpunkte aus?. ?Complete? has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein?s far-reaching conception of elementarisation, of the ?elementary from a higher standpoint?, in its implementation for school mathematics. This volume I is devoted to what Klein calls the three big ?A?s?: arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence of e and p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities ? it was his major aim to overcome this discontinuity. About the Author: Felix Klein (1849-1925) was a leading German mathematician whose research interests included group theory, complex analysis, and geometry. His work influenced many areas of mathematics and related subjects, ranging from mathematical physics to mathematical didactics. To this day, Felix Klein is considered one of the most important mathematicians of the 19th century. . 606 $aMathematics$xStudy and teaching 606 $aMathematics 606 $aMathematics Education 606 $aMathematics 615 0$aMathematics$xStudy and teaching. 615 0$aMathematics. 615 14$aMathematics Education. 615 24$aMathematics. 676 $a370 700 $aKlein$b Felix$4aut$4http://id.loc.gov/vocabulary/relators/aut$057765 906 $aBOOK 912 $a9910254974603321 996 $aElementary Mathematics from a Higher Standpoint$92531881 997 $aUNINA LEADER 03938nam 22009613a 450 001 9910673903503321 005 20250203235434.0 010 $a9783039212460 010 $a303921246X 024 8 $a10.3390/books978-3-03921-246-0 035 $a(CKB)4920000000094866 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/52942 035 $a(ScCtBLL)44eb40f0-a57c-4bb7-9e90-967a9910c1af 035 $a(OCoLC)1126097025 035 $a(oapen)doab52942 035 $a(EXLCZ)994920000000094866 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMechanisms of Adiponectin Action$fTania Fiaschi 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (222 p.) 311 08$a9783039212453 311 08$a3039212451 330 $aThe adipokine adiponectin is very concentrated in plasma, and decreased levels of adiponectin are associated with pathological conditions such as obesity, diabetes, cardiovascular diseases, and metabolic syndrome. When produced in its full-length form, adiponectin self-associates to generate multimeric complexes. The full-length form of adiponectin can be cleaved by the globular form of elastase that is produced locally, and the resulting biological effects are exerted in a paracrine or autocrine manner. The different forms of adiponectin bind to specific receptors consisting of two G-protein-independent, seven-transmembrane-spanning receptors, called AdipoR1 and AdipoR2, while T-cadherin has been identified as a potential receptor for high molecular weight complexes of adiponectin. Adiponectin exerts a key role in cellular metabolism, regulating glucose levels as well as fatty acid breakdown. However, its biological effects are heterogeneous, involving multiple target tissues. The Special Issue "Mechanisms of Adiponectin Action" highlights the pleiotropic role of this hormone through 3 research articles and 7 reviews. These papers focus on the recent knowledge regarding adiponectin in different target tissues, both in healthy and in diseased conditions. 610 $aacidic and rich in cysteine (SPARC) 610 $aregeneration 610 $afertility 610 $apig 610 $aendocrine cancer 610 $aNGF? 610 $areproductive tract 610 $aneuritogenesis 610 $askeletal muscle 610 $amatricellular proteins 610 $aadiponectin isoforms 610 $aobesity 610 $aatherosclerosis 610 $ahair growth-related factor 610 $aovarian cancer 610 $aadipose tissue 610 $aAdipoRon 610 $aextracellular signal-regulated kinase (ERK) 610 $aPC12 cells 610 $aendometrial cancer 610 $aAMPK 610 $ametabolism 610 $aadiponectin 610 $atranscriptome 610 $aexercise 610 $atraining 610 $ainflammation 610 $aBIAcore 610 $amuscle 610 $aadipokines 610 $ahuman follicular dermal papilla cell 610 $aestrogen receptor 610 $aendometrium 610 $aadiponectin inducer 610 $abreast cancer 610 $aimplantation 610 $amicroarray 610 $aSecreted protein 610 $aadipogenesis 610 $akojyl cinnamate ester derivative 610 $acell signaling 610 $alipotoxicity 610 $acervix cancer 610 $acancer 610 $acholesterol efflux 610 $amyopathies 610 $adiabetes 700 $aFiaschi$b Tania$01338980 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910673903503321 996 $aMechanisms of Adiponectin Action$93059356 997 $aUNINA