Book ID: CBB279828936

Navigating Across Mathematical Cultures and Times: Exploring the Diversity of Discoveries and Proofs (2020)

unapi

Vandoulakis, Ioannis M. (Editor)
Liu, Dun (Editor)


World Scientific


Publication Date: 2020
Physical Details: 600 pp.
Language: English

This volume explores how mathematical propositions are discovered, how they are demonstrated in various mathematical cultures -- ancient Greece, classical Islam, medieval and modern Europe, India, China, and pre-modern Japan -- and how they are shaped in texts and stylistic traditions. The geographic range is not restricted simply to Europe and the method of demonstration is not limited to the axiomatic method, which is thought to have emerged in ancient Greece. Topics of the discussions include the visual and axiomatic modes of reasoning in ancient Greece, algebraic demonstrations in classical Islam, algorithmic procedures in India and China, demonstrations and counter-arguments in mathematical analysis in modern Europe, and reasoning by induction in ancient Greece and pre-modern Japanese mathematics (Wasan). The studies also extend to arguments and demonstrations beyond 'pure mathematics' in the field of mathematical sciences, e.g., hydrostatics, optics, etc.; and include discussions of philosophical and methodological views on demonstration and the nature of mathematical objects, as well as comparative approaches to proof and demonstration in Eastern and Western mathematics.This unique volume is an up-to-date essential resource for historians and philosophers of mathematics. It is also suitable reading for specialists in mathematics education and comparative East-West studies, and dedicated to the topics of discoveries and proofs in a range of historical and cultural settings.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB279828936/

Similar Citations

Book Sundar Sarukkai; (2015)
Science and Narratives of Nature: East and West (/isis/citation/CBB016062136/)

Book Weinert, Friedel; (2013)
The March of Time: Evolving Conceptions of Time in the Light of Scientific Discoveries (/isis/citation/CBB001213193/)

Book Ben-Menahem, Ari; (2009)
Historical Encyclopedia of Natural and Mathematical Sciences (/isis/citation/CBB001230420/)

Book Hawking, Stephen W.; (2005)
God Created the Integers: The Mathematical Breakthroughs That Changed History (/isis/citation/CBB001033367/)

Book Richard Elwes; (2013)
Maths in 100 Key Breakthroughs (/isis/citation/CBB503488882/)

Book Tauger, Mark B.; (2010)
Agriculture in World History (/isis/citation/CBB001033379/)

Chapter Kim, Yung Sik; (2001)
Some Reflections on the Western Scientific Traditions from the East Asian Perspective (/isis/citation/CBB001021477/)

Book Craver, Carl F.; Darden, Lindley; (2013)
In Search of Mechanisms: Discoveries across the Life Sciences (/isis/citation/CBB001213154/)

Book Waller, John; (2002)
Einstein's Luck: The Truth Behind Some of the Greatest Scientific Discoveries (/isis/citation/CBB000640452/)

Book Lloyd, G. E. R.; (2006)
Principles and Practices in Ancient Greek and Chinese Science (/isis/citation/CBB000772114/)

Book Jeremy Adelman; (2019)
Empire and the Social Sciences: Global Histories of Knowledge (/isis/citation/CBB802326016/)

Book Wayne Orchiston; Aniket Sule; Mayank Vahia; (2019)
The Growth and Development of Astronomy and Astrophysics in India and the Asia-Pacific Region (/isis/citation/CBB347997281/)

Book Shankman, Steven; Durrant, Stephen W.; (2002)
Early China/Ancient Greece: Thinking through Comparisons (/isis/citation/CBB000772785/)

Article Huff, Toby E.; (2007)
Some Historical Roots of the Ethos of Science (/isis/citation/CBB000760095/)

Article Biswas, Arun Kumar; (2010)
Why Did the Scientific Renaissance Take Place in Europe and Not in India (/isis/citation/CBB001024276/)

Authors & Contributors
Richard Elwes
Weinert, Friedel
Waller, John C.
Vahia, Mayank
Tauger, Mark B.
Sule, Aniket
Concepts
Science, general histories
Cross-cultural comparison
Discovery in science
Mathematics
East Asia, civilization and culture
Western world, civilization and culture
Time Periods
Ancient
Song Dynasty (China, 960-1279)
Qing dynasty (China, 1644-1912)
Renaissance
Medieval
20th century
Places
China
Greece
India
Pacific Area
Europe
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment