LEADER 03640nam 22006135 450 001 9910163994203321 005 20200630143056.0 010 $a3-319-42863-2 024 7 $a10.1007/978-3-319-42863-5 035 $a(CKB)3710000001051394 035 $a(DE-He213)978-3-319-42863-5 035 $a(MiAaPQ)EBC4800450 035 $a(PPN)198868367 035 $a(EXLCZ)993710000001051394 100 $a20170206d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExploring Classical Greek Construction Problems with Interactive Geometry Software /$fby Ad Meskens, Paul Tytgat 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017. 215 $a1 online resource (XII, 185 p. 160 illus., 10 illus. in color.) 225 1 $aCompact Textbooks in Mathematics,$x2296-4568 311 $a3-319-42862-4 320 $aIncludes bibliographical references and index. 327 $a1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- Afterthoughts -- Solutions -- Index. 330 $aIn this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers. 410 0$aCompact Textbooks in Mathematics,$x2296-4568 606 $aGeometry 606 $aMathematics 606 $aHistory 606 $aMathematics?Study and teaching  606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000 615 0$aGeometry. 615 0$aMathematics. 615 0$aHistory. 615 0$aMathematics?Study and teaching . 615 14$aGeometry. 615 24$aHistory of Mathematical Sciences. 615 24$aMathematics Education. 676 $a510 700 $aMeskens$b Ad$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767385 702 $aTytgat$b Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910163994203321 996 $aExploring Classical Greek Construction Problems with Interactive Geometry Software$92070239 997 $aUNINA LEADER 04618nam 2201081z- 450 001 9910557668203321 005 20220111 035 $a(CKB)5400000000044823 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/76288 035 $a(oapen)doab76288 035 $a(oapen)76288 035 $a(EXLCZ)995400000000044823 100 $a20202201d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUrban Ecosystem Services 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 online resource (246 p.) 311 08$a3-0365-0582-2 311 08$a3-0365-0583-0 330 $aThe school of thought surrounding the urban ecosystem has increasingly become in vogue among researchers worldwide. Since half of the world's population lives in cities, urban ecosystem services have become essential to human health and wellbeing. Rapid urban growth has forced sustainable urban developers to rethink important steps by updating and, to some degree, recreating the human-ecosystem service linkage. Assessing, as well as estimating the losses of ecosystem services can denote the essential effects of urbanization and increasingly indicate where cities fall short. This book contains 13 thoroughly refereed contributions published within the Special Issue "Urban Ecosystem Services". The book addresses topics such as nature-based solutions, green space planning, green infrastructure, rain gardens, climate change, and more. The contributions highlight new findings for landscape architects, urban planners, and policymakers. Important future cities research is considered by looking at the system connectivity between the social and ecological sphere-via varying forms of urban planning, management, and governance. The book is supported by methods and models that utilize an urban sustainability and ecosystem service-centric focus by adding knowledge-base and real-world solutions into the urbanization phenomenon. 606 $aResearch & information: general$2bicssc 606 $aResearch and information: general$2bicssc 610 $aassessment 610 $abaseline shifts 610 $abiodiversity 610 $aboreholes 610 $acapacity building 610 $acities 610 $acitizen science 610 $aclimate change 610 $acommunity-building 610 $aDelphi analysis 610 $aeconomic benefits 610 $aecosystem disservices 610 $aecosystem services 610 $aenvironmental planning 610 $aflood resilience 610 $aforest fragmentation 610 $afull-scale infiltration test 610 $agreen infrastructure 610 $agreen spaces 610 $ahedonic pricing analysis 610 $ahuman health, human-nature connection theory 610 $aincremental greenspace loss 610 $aland consumption rate to the population growth rate (LCRPGR) 610 $aLiDAR/NDVI 610 $aMPD infiltration test 610 $amunicipal planning practice 610 $an/a 610 $anature-based solutions 610 $aNBS 610 $anon-native species 610 $aonline climate adaptation platforms 610 $aplanning process 610 $aprivatization 610 $aproperty rights 610 $aprotected species 610 $aproximity principle 610 $apublic participation 610 $arange expansion 610 $aresilience planning 610 $asite 610 $aspecies distributions 610 $astakeholders 610 $aSuDS 610 $asustainable development goal (SDG) 610 $asystematic literature review 610 $athe tyranny of small decisions 610 $aurban adaptive capacity 610 $aurban densification 610 $aurban ecosystem services 610 $aurban governance 610 $aurban greenspace 610 $aurban nature connection 610 $aurban planning 610 $aurban regeneration 610 $aurban resilience theory 610 $aurban space 610 $aurbanization 615 7$aResearch & information: general 615 7$aResearch and information: general 700 $aRusso$b Alessio$4edt$0512687 702 $aCirella$b Giuseppe T$4edt 702 $aRusso$b Alessio$4oth 702 $aCirella$b Giuseppe T$4oth 906 $aBOOK 912 $a9910557668203321 996 $aUrban Ecosystem Services$93032953 997 $aUNINA