03854nam a22005175i 4500 978-3-031-74224-8 DE-He213 20251030114553.0 cr nn 008mamaa 241130s2024 sz | s |||| 0|eng d 9783031742248 978-3-031-74224-8 10.1007/978-3-031-74224-8 doi QA21-27 PBX bicssc MAT015000 bisacsh PBX thema Agarwal, Ravi P. author. aut http://id.loc.gov/vocabulary/relators/aut 88289 Mathematics Before and After Pythagoras [electronic resource] : Exploring the Foundations and Evolution of Mathematical Thought / by Ravi P. Agarwal. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XXIX, 658 p. 104 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preface -- 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. This 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). Mathematics. 65523 History. Mathematics Philosophy. 69649 Proof theory. 88290 History of Mathematical Sciences. 66197 Philosophy of Mathematics. 69650 Proof Theory and Constructive Mathematics. 88291 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031742231 Printed edition: 9783031742255 https://doi.org/10.1007/978-3-031-74224-8 ZDB-2-SMA ZDB-2-SXMS 65340 65340