LEADER 04028nam  22006735  450 
001 9910913780103321
005 20260126113302.0
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(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   $a1 online resource (678 pages)
311 08$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 matemŕtica$2thub
606   $aInflučncia$2thub
606   $aTeoria de la prova$2thub
608   $aLlibres electrňnics$2thub
615  0$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 matemŕtica
615  7$aInflučncia
615  7$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