Jap-Sin II, 32
Chousuan 籌算.
By Luo Yagu 羅雅谷 (Giacomo Rho).
One juan. Bound in one volume, European style. No date or place of publication.

The first folio mentions the collection (Xiyang xinfa lishu and the section to which the text belongs: 西洋新法曆書，法數部，籌算, the chief compiler (Xu Guangqi): 明禮部尚書兼翰林院學士協理詹事府事加一級俸徐光啟督修，the author and reviser (Giacomo Rho and Adam Schall): 修政曆法極西耶穌會士羅雅谷撰，湯若望訂，and the proofreaders (Zhu Guoshou, Zhu Guangda, Chen Suoxing, Huang Hongxian, Sun Silie and Jiao Yingxu): 門人朱國壽，朱光大， 陳所性， 黃宏憲， 孫嗣烈，焦應旭受法.

There is a preface, dated 20.III 1628 (Chongzhen 1) by Rho himself, followed by the table of contents of the book. The whole book consists of thirty-nine folios. There are nine columns in each half folio with twenty-one or twenty-two characters to each column. The title of the book and the number of the folio are given in the middle of each folio.

Rho states in his preface that the science of calculation is so widely employed in scientific studies as well as in people’s daily life that it can be called universal. He then goes on to say that though the study of arithmetic was common among his countrymen, those who were poor in memory found it hard to learn. The Napier’s rods method was invented to facilitate the study of arithmetic. It was for this purpose that this book was written in Chinese as a new method to help Chinese students.

Cf. Pfister, p. 191, no. 16 (Arithmétique népérienne, 1 vol.); Couplet, p. 23 (De Arithmetica); Wylie, p. 112 (On the Principle of Napier’s Rods).

Source: Albert Chan, Chinese Books and Documents in the Jesuit Archives in Rome (2002), p. 314-315.

Full bibliographic information see Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database)
Local access dig. archives, see folder ARSI Jap-Sin I-IV (II, 32)

Part I. Introduction.
History of computations, computing devices, and mathematics education from the teaching and learning perspective : looking for new paths of investigation / Viktor Freiman and Alexei Volkov

Part II. Middle East, India, Greece, and Byzantine Empire in Antiquity and Middle Ages.
Computation in early Mesopotamia / Duncan J. Melville ; Computational techniques and computational aids in ancient Mesopotamia / Jens Høyrup ; Interpreting tables of the Arithmetical Introduction of Nicomachus through Pachymeres' treatment of arithmetic : preliminary observations / Athanasia Megremi and Jean Christianidis ; The so-called "dust computations" in the Līlāvatī / Takanori Kusuba ; Reading algorithms in Sanskrit : how to relate rule of three, choice of unknown, and linear equation? / Charlotte-V. Pollet

Part III. Far East : China, Korea, Japan. Chinese counting rods : their history, arithmetic operations, and didactic repercussions / Alexei Volkov ; Interpreting algorithms written in Chinese and attempting the reconstitution of tabular setting : some elements of comparative history / Charlotte-V. Pollet ; Same rods, same calculation? Contextualizing computations in early eighteenth-century Korea / Young Sook Oh ; The education of abacus addition in China and Japan prior to the early 20th century / Yifu Chen ; Teaching computation in 19th-century Japan : the transition from individual coaching on traditional devices at the end of the Edo period (1600-1868) to lectures on Western mathematics during the Meiji period (1868-1912) / Marion Cousin

Part IV. Early Modern Europe and Russia. A short history of computing devices from Schickard to de Colmar : emergence and evolution of ingenious ideas and technologies as precursors of modern computer technology / Viktor Freiman and Xavier Robichaud ; Computation devices in nineteenth-century mathematics instruction in Europe / Gert Schubring ; Toward a history of the teaching of calculation in Russia / Alexander Karp

Part V. Conclusion. The unsettling playfulness of computing / Jean-François Maheux ; Calculating aids in mathematics education before the advent of electronic calculators : didactical and technological prospects / Dragana Martinovic.

Index of Technical Terms – Index of Individuals – Index of Primary Materials

Local access dig.pdf. [Volkov, Freiman-Computing Devices mathematics.pdf]

Local access dig.pdf. [Cervera-Rho Chousuan.pdf]

Agradecimientos -- Introducción : la llegada de los jesuitas a China. El nacimiento de la Compañía de Jesús. La llegada de los jesuitas a China : Matteo Ricci. La acomodación de los jesuitas en China -- 1. Introducción de la astronomía europea en China. El contexto astronómico europeo. La llegada de los jesuitas astrónomos a la corte de Beijing -- 2. Vida de Giacomo Rho. Nacimiento y procedencia. Formación y viaje de Rho. Papel de Rho en la defensa de Macao contra los holandeses. Ultimos años y muerte de Giacomo Rho -- 3. Un nuevo catálogo de las obras de Rho. Obras religiosas. Obras científicas. Cartas. Conclusión : las obras de Rho rectalogadas -- 4. Matemáticas en China y en Europa en el tiempo de Rho. Las matemáticas en China. Las matemáticas para la Compañía de Jesús. Las matemáticas introducidas por los jesuitas en China. John Napier y su búsqueda de métodos rápidos para calcular -- 5. El Chou Suan de Giacomo Rho. Generalidades y fechas. Aspectos generales del Chou Suan. Fontispicio, prefacio e índice. Primera parte : construcción de las varillas. Segunda parte : las operaciones más simples. Multiplicación y división. Raíz cuadrada. Raíz cúbica. Anexo sobre economía -- 6. Recepción y significado del Chou Suan de Rho. El Chou Suan de Mei Wending. La inculturación en China mediante las matemáticas -- Un breve sobre el trabajo astronómico de Rho -- Conclusión : Rho como matemático y astrónomo en Beijing -- Bibliografía -- Anexos. Anexo A. Documentos procedentes del Archivo Histórico de Macao. A.1. Informaçoěs Comuăs dos Padres que vieram para a China, Com o Padre Nicolao Trigao, no anno de 1620. A2. Morte do Doutor Leam, e do Padre Joaŏ Terencio ambos na Corte, saŏ chamados a ella por ordem Real os Padres Jacome Rho, e Joaŏ Adaŏ. A.3. Carta do Padre Alberto à o Padre Jacome Rho.

A.4. Carta do Pe. Jacome Rho ao Pe. Geronimo Roiz Vizitador da Companhia de Jesus na China, e Japaŏ A.4. Carta do Pe. Jacome Rho ao Pe. Geronimo Roiz Vizitador da Companhia de Jesus na China, Japaŏ. A.5. Cristiandades soguitas à Corte de Pekim e Morte do Padre Jacome Rho. Capitulo 8°. A.6. La morte do Padre Jacome Rho. A.7. Do estado em que estado estaŏ as couzas do Calendario. A.8. Do Estado do Calendario -- Anexo B. Información sobre Giacomo Rho (Luo Yagu) en el Chou Ren Zhuan -- Anexo C. Situación de las obras científicas de Rho en el Si Ku Quan Shu -- Anexo D. Fotografías de la estela conmemorativa de Giacomo Rho -- Anexo E. El Chou Suan.

Dig.pdf. local access [Cervera-Rho Napier en China.pdf]