The History of Mathematical Proof in Ancient Traditions

Algorithms in Bhāskara’s commentary on Āryabhat. īya 503 In order to show the proof ( upapatti ) of 〈that〉 Rule of Th ree, a fi ...

504 agathe keller 3.3.1 Ve r i fi cation of an arithmetical computation Bhāskara states a verifi cation by the Rule of Five for ...

Algorithms in Bhāskara’s commentary on Āryabhat. īya 505 I do not know the 〈monthly-〉 interest on a hundred. However, the 〈mont ...

506 agathe keller For all fi elds, when one has acquired the two sides, the area is their product | 37 Bhāskara endows the verse ...

Algorithms in Bhāskara’s commentary on Āryabhat. īya 507 earliest known texts of Sanskrit geometry. Th ese algorithms produce a ...

508 agathe keller written text preserves only a portion. For instance, the function of diagrams in these reasonings still remain ...

15 Argumentation for state examinations: demonstration in traditional Chinese and Vietnamese mathematics Alexei Volkov Introduct ...

510 alexei volkov textbook can become the starting point of a professional mathematical inquiry. Similarly, it well may be possi ...

Demonstration in Chinese and Vietnamese mathematics 511 a ‘model examination paper’ found in a nineteenth-century Vietnamese mat ...

512 alexei volkov procedures of nine categories) compiled no later than the fi rst century ce contained the Pascal triangle (ref ...

Demonstration in Chinese and Vietnamese mathematics 513 deductions performed in an axiomatic system. 11 Th e statement of Biot a ...

514 alexei volkov Chinese mathematical instruction of the fi rst millennium ce It remains unclear when and where mathematical su ...

Demonstration in Chinese and Vietnamese mathematics 515 duration of their study as specifi ed in the Xin Tang shu (Th e New Hist ...

516 alexei volkov Continued Table 15.2. Conventional identifi cation of the Tang dynasty textbooks with the extant mathematical ...

Demonstration in Chinese and Vietnamese mathematics 517 Number Treatises listed in the Xin Tang shu Identifi ed as the following ...

518 alexei volkov below. Th e list could not be chronological either, given that according to the conventional chronology the Zh ...

Demonstration in Chinese and Vietnamese mathematics 519 as becomes clear from an inspection of the number of years allotted to t ...

520 alexei volkov the other is the Xiahou Yang suan jing authored by one Han Yan whose lifetime has been a matter of controversy ...

Demonstration in Chinese and Vietnamese mathematics 521 ( XTS 44: 1b–2a) All [the candidates examined in] the Mathematical Colle ...

522 alexei volkov with three tasks on the Jiu zhang , and with one task on each [of the treatises] Hai dao , Sun zi , Wu cao , Z ...