A General Character Theory for Partially Ordered Sets and Lattices PDF Download
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Author: Karl Heinrich Hofmann
Publisher: American Mathematical Soc.
ISBN: 0821818228
Category : Categories (Mathematics).
Languages : en
Pages : 129
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Book Description
Author: Karl Heinrich Hofmann
Publisher: American Mathematical Soc.
ISBN: 0821818228
Category : Categories (Mathematics).
Languages : en
Pages : 129
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Book Description
Author: Ralf Krömer
Publisher: Springer Nature
ISBN: 3031597974
Category : Electronic books
Languages : en
Pages : 962
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Book Description
This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Author: Karl H. Hofmann
Publisher: Springer
ISBN: 3540370811
Category : Mathematics
Languages : en
Pages : 323
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Book Description
Author: Gian-Carlo Rota
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 298
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Author:
Publisher:
ISBN:
Category : Associative rings
Languages : en
Pages : 342
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Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 540
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Contains Proceedings of the Canadian Mathematical Congress, 6th- 1963-
Author: G. Gierz
Publisher: Springer Science & Business Media
ISBN: 3642676782
Category : Mathematics
Languages : en
Pages : 390
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Book Description
A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 908
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Author: Fukuoka, Japan. Kyushu University. Faculty of Science
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 810
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Author: Kyūshū Daigaku. Rigakubu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 402
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Book Description
