The History of Modern Mathematics: Ideas and their reception PDF Download

Author: David E. Rowe
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

View

Book Description

Author: David E. Rowe
Publisher: Academic Press
ISBN: 1483266214
Category : Mathematics
Languages : en
Pages : 470

View

Book Description
The History of Modern Mathematics, Volume I: Ideas and their Reception documents the proceedings of the Symposium on the History of Modern Mathematics held at Vassar College in Poughkeepsie, New York on June 20-24, 1989. This book is concerned with the emergence and reception of major ideas in fields that range from foundations and set theory, algebra and invariant theory, and number theory to differential geometry, projective and algebraic geometry, line geometry, and transformation groups. Other topics include the theory of reception for the history of mathematics and British synthetic vs. French analytic styles of algebra in the early American Republic. The early geometrical works of Sophus Lie and Felix Klein, background to Gergonne's treatment of duality, and algebraic geometry in the late 19th century are also elaborated. This volume is intended for students and researchers interested in developments in pure mathematics.

Author: Jose Ferreiros
Publisher: Springer Science & Business Media
ISBN: 9783764357498
Category : Mathematics
Languages : en
Pages : 472

View

Book Description
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Author: William Aspray
Publisher: U of Minnesota Press
ISBN: 1452908559
Category : Mathematics
Languages : en
Pages : 397

View

Book Description

Author: David E. Rowe
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

View

Book Description

Author: José Ferreirós
Publisher: Springer Science & Business Media
ISBN: 376438350X
Category : Mathematics
Languages : en
Pages : 486

View

Book Description
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)

Author:
Publisher:
ISBN: 9780125996617
Category :
Languages : en
Pages : 0

View

Book Description

Author: David Eugene Smith
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 118

View

Book Description

Author: David Eugene Smith
Publisher: BoD - Books on Demand
ISBN:
Category : Mathematics
Languages : en
Pages : 70

View

Book Description
A survey of the major figures and mathematical movements of the 19th century, this is a thorough examination of every significant foundation stone of today's modern mathematics. Providing clear and concise articles on the fundamental definition of numbers through to quantics and infinite series, as well as exposition on the relationships between theorems, this volume, which was first published in 1896, cements itself as an essential reference work, a solid jumping-off point for all students of mathematics, and a fascinating glimpse at the once-cutting edge that now is taken for granted in an ever-changing scientific field. New York lawyer and mathematician DAVID EUGENE SMITH (1860-1944) authored a number of books while a professor of mathematics at Columbia University, including The Teaching of Elementary Mathematics (1900), A History of Japanese Mathematics (1914).

Author: Karine Chemla
Publisher: Springer Nature
ISBN: 3031408551
Category : Mathematics
Languages : en
Pages : 702

View

Book Description
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.