LEADER 00973nam0-2200313---450- 001 990008325870403321 005 20100927111539.0 010 $a84-8021-483-X 035 $a000832587 035 $aFED01000832587 035 $a(Aleph)000832587FED01 035 $a000832587 100 $a20060511d2005----km-y0itay50------ba 101 0 $acat 102 $aES 105 $aa---a---001yy 200 1 $aAproximaci lingistica als inicis de la llengua catalana$esegles 8. al 13.$fLlus Gimeno Bet 210 $aCastell de la Plana$cPublicacions de la Universitat Jaume$d2005 215 $a204 p.$cill.$d24 cm 610 0 $aLingua catalana$aSec. 8.-13. 676 $a449.9 700 1$aGimeno Bet,$bLlus$0424717 801 0$aIT$bUNINA$c20060511$gRICA$2UNIMARC 901 $aBK 912 $a990008325870403321 952 $a449.9 BET 1$fFLFBC 959 $aFLFBC 996 $aAproximaci lingistica als inicis de la llengua catalana$9743578 997 $aUNINA LEADER 04150nam 22007095 450 001 9910913780103321 005 20260331110038.0 010 $a9783031742248 010 $a3031742249 024 7 $a10.1007/978-3-031-74224-8 035 $a(CKB)36702034000041 035 $a(MiAaPQ)EBC31807764 035 $a(Au-PeEL)EBL31807764 035 $a(DE-He213)978-3-031-74224-8 035 $a(MiFhGG)9783031742248 035 $a(OCoLC)1481797687 035 $a(EXLCZ)9936702034000041 100 $a20241130d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematics Before and After Pythagoras $eExploring the Foundations and Evolution of Mathematical Thought /$fby Ravi P. Agarwal 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (678 pages) 225 0 $aMathematics and Statistics Series 311 08$a9783031742231 311 08$a3031742230 327 $aPreface -- Foreword -- Life and Teaching of Pythagoras -- Numbers and Number Mysticism -- Mathematics, Mathematicians, and Proofs -- Prime Numbers -- Pythagorean Theorem -- Pythagorean Triples -- Pythagorean Figurative Numbers -- Pythagorean Irrationality of Numbers -- Name Index -- Subject Index. 330 $aThis book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed. It begins with a thorough study of Pythagoreanism and the early Pythagoreans, including the major events in Pythagoras' life and the origins of the mystical significance attributed by Pythagoreans to natural numbers. From Chapter 3 onward, the book describes how mathematical thinking works and prepares the reader for the subsequent chapters, which cover mathematical logic and proofs, their application to the study of natural and prime numbers, the investigation of Pythagorean triples, figurative numbers, and irrational numbers, all interwoven with rich historical context. Aimed at students and teachers at all levels, this work is accessible to non-mathematicians as well, with the main prerequisite being an avid curiosity about some of the ideas and thinkers that helped to forge the mathematical world as we know it. Early praises for ?Mathematics Before and After Pythagoras?: ?Your book is charming and fun to read. It would be fine to be able to teach from it.? (Steve Krantz, USA) ?...your new book, an obvious labor of love... I can see that it will be an inspiration for young students.? (Bruce Berndt, USA) ?It is an excellent book, and I am deeply grateful for sending it to me. It is an extraordinary gift, and I am so grateful for this.? (Carlo Cattani, Italy) ?I am really impressed by the wealth of interesting material you have collected and presented.? (Rainer Kress, Germany). 606 $aMathematics 606 $aHistory 606 $aMathematics$xPhilosophy 606 $aProof theory 606 $aHistory of Mathematical Sciences 606 $aPhilosophy of Mathematics 606 $aProof Theory and Constructive Mathematics 606 $aFilosofia de la matemtica$2thub 606 $aInfluncia$2thub 606 $aTeoria de la prova$2thub 608 $aLlibres electrnics$2thub 615 0$aMathematics. 615 0$aHistory. 615 0$aMathematics$xPhilosophy. 615 0$aProof theory. 615 14$aHistory of Mathematical Sciences. 615 24$aPhilosophy of Mathematics. 615 24$aProof Theory and Constructive Mathematics. 615 7$aFilosofia de la matemtica 615 7$aInfluncia 615 7$aTeoria de la prova 676 $a510.9 700 $aAgarwal$b Ravi P$041786 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910913780103321 996 $aMathematics Before and After Pythagoras$94299615 997 $aUNINA LEADER 02753nam 2200433z- 450 001 9910557382803321 005 20210501 035 $a(CKB)5400000000042071 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68857 035 $a(oapen)doab68857 035 $a(oapen)68857 035 $a(EXLCZ)995400000000042071 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMulti-Criteria Decision-Making Techniques for Improvement Sustainability Engineering Processes$eVolume 1 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (488 p.) 311 08$a3-03936-778-1 311 08$a3-03936-779-X 330 $aThe success of any activity and process depends fundamentally on the possibility of balancing (symmetry) needs and their satisfaction. That is, the ability to properly define a set of success indicators. The application of the developed new multi-criteria decision-making (MCDM) methods can be eliminated or decreased by decision-makers' subjectivity, which leads to consistency or symmetry in the weight values of the criteria. In this Special Issue, 40 research papers and one review study co-authored by 137 researchers from 23 different countries explore aspects of multi-criteria modeling and optimization in crisp or uncertain environments. The papers propose new approaches and elaborate case studies in the following areas of application: MCDM optimization in sustainable engineering, environmental sustainability in engineering processes, sustainable multi-criteria production and logistics processes planning, integrated approaches for modeling processes in engineering, new trends in the multi-criteria evaluation of sustainable processes, and multi-criteria decision-making in strategic management based on sustainable criteria. 517 $aMulti-Criteria Decision-Making Techniques for Improvement Sustainability Engineering Processes 606 $aHistory of engineering and technology$2bicssc 615 7$aHistory of engineering and technology 700 $aZavadskas$b Edmundas Kazimieras$4edt$01280540 702 $aPamučar$b Dragan$4edt 702 $aStević$b Željko$4edt 702 $aMardani$b Abbas$4edt 702 $aZavadskas$b Edmundas Kazimieras$4oth 702 $aPamučar$b Dragan$4oth 702 $aStević$b Željko$4oth 702 $aMardani$b Abbas$4oth 906 $aBOOK 912 $a9910557382803321 996 $aMulti-Criteria Decision-Making Techniques for Improvement Sustainability Engineering Processes$93025703 997 $aUNINA