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Author: Davide Crippa Publisher: Springer ISBN: 3030016382 Category : Mathematics Languages : en Pages : 184
Book Description
This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Author: Davide Crippa Publisher: Springer ISBN: 3030016382 Category : Mathematics Languages : en Pages : 184
Book Description
This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Author: Philip Beeley Publisher: Oxford University Press ISBN: 0198863950 Category : Languages : en Pages : 513
Book Description
Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.
Author: Robert Tubbs Publisher: Springer Nature ISBN: 3030554783 Category : Literary Criticism Languages : en Pages : 628
Book Description
This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory. Chapter 1 is available open access under a Creative Commons Attribution 4.0 International License via [link.springer.com|http://link.springer.com/].
Author: Robert S. Cohen Publisher: Springer Science & Business Media ISBN: 9401733910 Category : Science Languages : en Pages : 442
Book Description
Natural Sciences and the Social Sciences contains a series of explorations of the different ways in which the social sciences have interacted with the natural sciences. Usually, such interactions are considered to go only `one way': from the natural to the social sciences. But there are several important essays in this volume which show how developments in the social sciences have affected the natural sciences - even the `hard' science of physics. Other essays deal with various types of interaction since the Scientific Revolution. In his general introductory chapter, Cohen sets some general themes concerning analogies and homologies and the use of metaphors, drawing specific examples from the use of concepts of physics by marginalist economists and of developments in the life sciences by organismic sociologists. The remaining chapters, which explore the different ways in which the social sciences and the natural sciences have actually interacted, are written by leaders in the field of history of science, drawn from a wide range of countries and disciplines. The book will be of great interest to all historians of science, philosophers interested in questions of methodology, economists and sociologists, and all social scientists concerned with the history of their subject and its foundations.
Author: I. Bernard Cohen Publisher: MIT Press ISBN: 9780262531245 Category : History Languages : en Pages : 228
Book Description
One of the fruits of the scientific revolution was the idea of a social science that would operate in ways comparable to the newly triumphant natural sciences. This text offers a historical perspective on the interactions between the social and natural sciences.
Author: Adi Louria Hayon Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110664135 Category : Religion Languages : en Pages : 238
Book Description
To date, scholars explored Bruce Nauman’s oeuvre through various perspectives, concepts and premises, including linguistics, performance, power and knowledge, sound, the political and more. Amidst this vast and rich field, Nauman’s pieces have been regarded by critics in terms of systematic skepticism, tragic skepticism, skepticism of the medium, and linguistic doubt. This book methodically analyzes the notion of performative skepticism and its relevance to various dimensions of Bruce Nauman’s post-minimalist artistic practice. It is argued that Nauman performs the perpetual failure of perception, hence, demonstrating its doubtful validity to produce certain knowledge without allowing a resolution. This kind of skepticism, here called performative skepticism, exposes the impossibility of epistemological equipment to produce knowledge, and the impossibility of attaining certainty in bridging the gap between knowledge and the real.
Author: Saul Stahl Publisher: Courier Corporation ISBN: 0486134989 Category : Mathematics Languages : en Pages : 481
Book Description
This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.
Author: Hermona Soreq Publisher: John Wiley & Sons ISBN: 3527628355 Category : Medical Languages : en Pages : 395
Book Description
This title comprehensively covers the molecular basis of stress responses of the nervous system, providing a unique and fundamental insight into the molecular, physiological and behavioral basis of the stress response of a whole organism. Edited by leading experts in the field and summarizing the latest research advances in this area, this ready reference is an invaluable resource for clinicians dealing with stress-related disorders, biomedical researchers working in the field as well as for pharmacology and biotech companies.
Author: Joseph Needham Publisher: Cambridge University Press ISBN: 9780521058018 Category : History Languages : en Pages : 1146
Book Description
After two volumes mainly introductory, Dr Needham now embarks upon his systematic study of the development of the natural sciences in China. The Sciences of the Earth follow: geography and cartography, geology, seismology and mineralogy. Dr Needham distinguishes parallel traditions of scientific cartography and religious cosmography in East and West, discussing orbocentric wheel-maps, the origins of the rectangular grid system, sailing charts and relief maps, Chinese survey methods, and the impact of Renaissance cartography on the East. Finally-and here Dr Needham's work has no Western predecessors-there are full accounts of the Chinese contribution to geology and mineralogy.
Author: Davide Crippa
Author: Davide Crippa
Author: Douglas M. Jesseph
Author: Philip Beeley
Author: Robert Tubbs
Author: Robert S. Cohen
Author: I. Bernard Cohen
Author: Adi Louria Hayon
Author: Saul Stahl
Author: Hermona Soreq
Author: Joseph Needham