Atnaujinkite slapukų nuostatas

Navigating Across Mathematical Cultures And Times: Exploring The Diversity Of Discoveries And Proofs [Kietas viršelis]

Edited by (Chinese Academy Of Sciences, China), Edited by (The Hellenic Open Univ, Greece)
  • Formatas: Hardback, 600 pages
  • Išleidimo metai: 31-Jul-2025
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 981468936X
  • ISBN-13: 9789814689366
Kitos knygos pagal šią temą:
Navigating Across Mathematical Cultures And Times: Exploring The Diversity Of Discoveries And ProofsDidesnis paveikslėlis
  • Formatas: Hardback, 600 pages
  • Išleidimo metai: 31-Jul-2025
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 981468936X
  • ISBN-13: 9789814689366
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9789814689366.html
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.
Mathematical Sciences and Philosophy in Ancient Greece and
Byzantium: Pre-Euclidean Greek Mathematics; The Rise of Mathematics in
Ancient Greece; On the Sphericity of the Surface of Water at Rest; The
Treatise On the Section of a Cone of Serenos of Antinoeia; Interpretations of
Greek Logic in Polish School; Platonic and Aristotelian Mathematics in
Georgius Trapezuntius; Mathematical Sciences in the Arabic World: Rewriting
the History of Classical Mathematics from al-Khayyaem to Descartes; Ibn
al-Haytham's Geometrization of Place, and the Affirmation of the Visibility
of Space in Optics; On Postulates in the Ashkal al-Ta'sis by al-Samarqandi;
Abd Al-Rahman Al-Sufi: Study of the Lunar and Solar Eclipses with the
Astrolabe; Mathematical Sciences and Philosophy in the European
Tradition: Objects and Demonstrations in the Philosophy of Mathematics of
Alessandro Piccolomini (1508-1579); Descartes, van Schooten and the Third
Degree Equation; A la recherche d'une methode: le traite des coniques de John
Wallis; Leibniz's Parisian Studies on Infinitesimal Mathematics; Ampere's
'Theorem' and Weierstrass's Counter-examples; Gauss's Disquistiones
Arithmeticae and the 12th Problem of Hilbert; Mathematical Sciences and
Philosophy in the Orient: Ramanujan, His Lost Notebook, its Importance;
Mathematics in China during the 20th Century; Yamataization: The World's
Oldest Example of Structuralism; A Narrative of the YBZ: From Suan Shu Shu to
the Western Mirror of European Learning; Pre-modern Japanese Mathematics
(Wasan) and Demonstration; Dutch Algebra and Arithmetic in Japan before the
Meiji Restoration; Comparative, Methodological and Philosophical Studies: Two
Archetypes of Mathematical Thought: Ancient Greece and Ancient China;
Symmetry and Form: East and West; Epic Geometry: Proof Structures in Ancient
Greek and Early Chinese Literature; History of Mathematics from the View of
the Working Mathematician; Distributed Cognition in Mathematical Reasoning;