Mathematics Before and After Pythagoras
Mathematics Before and After Pythagoras: Exploring the Foundations and Evolution of Mathematical Thought
English | 2024 | ISBN: 3031742230 | 687 Pages | PDF EPUB (True) | 48 MB
English | 2024 | ISBN: 3031742230 | 687 Pages | PDF EPUB (True) | 48 MB
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.