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Manufacturing computers in series was quite a feat in the 1950s. As mathematical as it gets, the machines discussed here were called X1 and X8. The industrial achievement combined with the background in a mathematical research center made the company Electrologica a legend in Dutch computing. The tales in this book are told by those who have a right to tell. Highly engaged professionals take readers back to their pioneering work with the machines and in retrospect unveil some of the values, which went without saying in the 1960s. To disagree, Paul Klint relates the contrasting views on software in Dutch research traditions. ALGOL culture: Frans Kruseman Aretz takes the reader along to the de...
The 1963 Göttingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.
Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
The theory of signifying (significs), formulated and introduced by Victoria Welby for the first time in 1890s, is at the basis of much of twentieth-century linguistics, as well as in other language and communication sciences such as sociolinguistics, psycholinguistics, translation theory and semiotics. Indirectly, the origins of approaches, methods and categories elaborated by analytical philosophy, Wittgenstein himself, Anglo-American speech act theory, and pragmatics are largely found with Victoria Lady Welby. Indeed, it is no exaggeration to say, in addition, that Welby is the "founding mother" of semiotics. Some of Peirce's most innovative writings – for example, those on existential g...
As a multimedia artist, Dick Raaymakers (born 1930) embraces a diversity of genres and styles, from sound animations for films to "action music," never-ending vocal textures, electro-acoustic tableaux vivants and music theatre works. Raaijmakers dovetails disciplines such as the visual arts, film, literature and theatre with the universe of music.
This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity a...
"This collection of paper is dedicated to Academician Ivan Matveevic̆ Vinogradov on his eighty-fifth birthday. It consists of original work on various parts of number theory, analysis, and also their applications." Title page verso.