The History of Mathematical Proof in Ancient Traditions
The History of Mathematical Proof in Ancient Traditions

Author: Karine Chemla

Publisher: Cambridge University Press

Published: 2012-07-05

Total Pages: 522

ISBN-13: 1139510584

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This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Creators of Mathematical and Computational Sciences
Creators of Mathematical and Computational Sciences

Author: Ravi P Agarwal

Publisher: Springer

Published: 2014-11-11

Total Pages: 514

ISBN-13: 3319108700

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​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.