Author : Ian Mueller
Publisher : Courier Dover Publications
Page : 404 pages
File Size : 31,4 MB
Release : 2006
Category : Mathematics
ISBN :
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Author : Euclid
Publisher :
Page : 544 pages
File Size : 39,92 MB
Release : 2002
Category : Mathematics
ISBN :
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : Arne Hessenbruch
Publisher : Routledge
Page : 965 pages
File Size : 22,86 MB
Release : 2013-12-16
Category : History
ISBN : 1134262949
The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.
Author : Proclus
Publisher : Princeton University Press
Page : 428 pages
File Size : 10,99 MB
Release : 2020-06-30
Category : Philosophy
ISBN : 0691214670
The description for this book, Proclus: A Commentary on the First Book of Euclid's Elements, will be forthcoming.
Author : Anna-Maria Gasser
Publisher : Walter de Gruyter GmbH & Co KG
Page : 486 pages
File Size : 36,99 MB
Release : 2024-07-22
Category : History
ISBN : 3110670461
As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
Author : Benno Artmann
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 16,15 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461214122
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Author : Ole Ravn
Publisher : Springer
Page : 188 pages
File Size : 41,70 MB
Release : 2019-02-06
Category : Education
ISBN : 3030013375
Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.
Author : Norman T. Hamilton
Publisher : Courier Dover Publications
Page : 289 pages
File Size : 42,86 MB
Release : 2018-05-16
Category : Mathematics
ISBN : 0486830470
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Author : C. Sasaki
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 42,23 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 9401712255
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Author : Fred H. Croom
Publisher : Courier Dover Publications
Page : 340 pages
File Size : 17,38 MB
Release : 2016-02-17
Category : Mathematics
ISBN : 0486801543
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
