Bibliography of works HISTORY OF MATHEMATICS (original) (raw)
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Symposium on the history of modern mathematics
Historia Mathematica, 1989
Forty-five participants representing 12 countries took part in the symposium, which featured 29 lectures covering a variety of topics from the era of Euler and Clairaut to the onset of modern electronic computers. The principal theme of the meeting, discussed in about half of the papers presented, concerned issues and ideas at the interface between pure and applied mathematics. This theme arose in several historical contexts ranging from early 19th-century France to Wilhelmian Germany and beyond to the United States during the Second World War. Other topics that received considerable attention included the emergence of projective geometry and the influence of projective concepts of geometry in general, Abel's theorem and its role in algebraic geometry, the geometric background of transformation group theory, contrasting notions of rigor in 18th-and 19th-century mathematics, the philosophical views of Cantor and Kronecker and subsequent developments in the foundations of mathematics, 19th-century American algebra, and number theory from Gauss to Hilbert. The following abstracts of these lectures are given in the order in which they were presented: CORE Metadata, citation and similar papers at core.ac.uk
The Richness of the History of Mathematics
Archimedes Series 66, 2023
This colective book, edited by Karine Chemla, J Ferreirós, Lizhen Ji, Erhard Scholz & Chang Wang, is a unique introduction to historiographical questions concerning the history of mathematics, with essays by many leading scholars, aimed at guiding newcomers to the field. It provides multiple perspectives on mathematics, its role in culture, development, connections with other sciences, with philosophy, etc.
The History of Mathematics: A Source-Based Approach, Volume 1 (Book Review)
2019
The History of Mathematics: A Source-Based Approach, Volume 1 is a substantial, well-written textbook that derives from correspondence materials developed for the Open University's year-long undergraduate history of mathematics course, which was regularly offered to distance learners from 1987 to 2007. This volume focuses on the first half of that course: The mathematics of Egypt and Mesopotamia (Chapter 2), Classical Greek and Hellenistic mathematics (Chapters 3-6), The mathematics of India and China (Chapter 7), Islamic mathematics (Chapter 8), Medieval European mathematics (Chapter 9), Renaissance mathematics in Europe and Great Britain (Chapters 10-11), The astronomical revolution of the mid-16th to early-17th century (Chapter 12), and early 17th-century European mathematics (Chapter 13). Volume 2 will resume with the rise of the calculus and take the story at least through 19th-century European developments in a variety of fields if the 1987 Open University sourcebook The History of Mathematics: A Reader by John Fauvel and Jeremy Gray remains a trusty guide for the project.
University of Belgrade, Dept. of Matematics, 2024
The paper concerns topics of arithmetic, algebra and geometry which are included in the publication of the Codex Vindobonensis phil. Gr. 65 ff. (11r-126r) of the 15th c. (Chalkou, 2006), and of the manuscript 72 of the 18th c. of the historical Library of Demetsana (Chalkou, 2009). During the study of the 2 manuscripts the interest mainly focused on the mathematical analysis of the methods of the authors, and their significance in the development of the History of Mathematics. The paper also aims to highlight the necessity of easier and broader access to the Sources of Cultural Heritage and the value of digitizing its archives. We attempt to briefly describe the time the 2 codes were written, the language, the influences and the mathematical fields which comprise their content. We make known the findings which consolidated the view that the Byzantine manuscripts the Mathematical Encyclopedia of the Byzantines, while the manuscript 72 of the 18th c. is one of the first texts with non-elementary Mathematics during Ottoman rule, and it includes Euclidean Geometry by Nikephoros Theotokes, topics of algebra but also the commercial Mathematics of the Byzantines. From the ‘Mathemataria’ which were found in the School of Demetsana it is evident that the students were taught, among other things, theoretical and practical arithmetic as well as Euclidean geometry from the manuscript 72, which covered syllabus of today’s junior and senior high school. The School was considered higher, and certain manuscripts which were found in its library contain material which is basic but of university level. The anonymous author of Codex 65 writes that his main source is the work of Greek scholars, and that he has been influenced by the Hindus, the Chinese and the Persians through the Latin scholars due to the commercial transactions between the Byzantines and the West. In the Codex 65we discovered categories of problems whose solution is achieved through methods unknown to this day. During the research we studied reliable sources of the History of Mathematics in which no data related to these methods were found (Loria and Kovaios, 1972) and (Heath, 1921) and (Smith, 1958). Then certain methods led us to formulate and prove new mathematical propositions in the field of number theory.
Research in History and Philosophy of Mathematics
Annals of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques
The problem of the construction of magic squares occupied many mathematicians of the 17th century. The Polish Jesuit and polymath Adam Adamandy Kochański studied this subject too, and in 1686 he published a paper in Acta Eruditorum titled "Considerationes quaedam circa Quadrata et Cubos Magicos". In that paper he proposed a novel type of magic square, where in every row, column and diagonal, if the entries are sorted in decreasing order, the difference between the sum of entries with odd indices and those with even indices is constant. He called them quadrata subtractionis, meaning squares of subtraction. He gave examples of such squares of orders 4 and 5, and challenged readers to produce an example of square of order 6. We discuss the likely method which he used to produce squares of order 5, and show that it can be generalized to arbitrary odd orders. We also show how to construct doubly-even squares. At the end, we show an example of a square of order 6, sought by Kochański, and discuss the enumeration of squares of subtraction.