Author: Vincenzo De Risi
Publisher: Birkhäuser
ISBN: 3319198637
Category : Mathematics
Languages : en
Pages : 199
Book Description
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
Leibniz on the Parallel Postulate and the Foundations of Geometry
Author: Vincenzo De Risi
Publisher: Birkhäuser
ISBN: 3319198637
Category : Mathematics
Languages : en
Pages : 199
Book Description
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
Publisher: Birkhäuser
ISBN: 3319198637
Category : Mathematics
Languages : en
Pages : 199
Book Description
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
On the Theory of Parallel Lines
Author: Ashmolean Society (OXFORD).
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 52
Book Description
Ominous Parallels
Author: Leonard Peikoff
Publisher: Penguin
ISBN: 1101147555
Category : Philosophy
Languages : en
Pages : 353
Book Description
Ayn Rand chose Leonard Peikoff to be her successor as the spokesman for Objectivism. And in this brilliantly reasoned, thought-provoking work we learn why, as he demonstrates how far America has been detoured from its original path and led down the same road that Germany followed to Nazism. Self-sacrifice, Oriental mysticism, racial "truth," the public good, doing one's duty—these are among the seductive catch-phrases that Leonard Peikoff dissects, examining the kind of philosophy they symbolize, the type of thinking that lured Germany to its doom and that he says is now prevalent in the United States. Here is a frightening look at where America may be heading, a clarion call for all who are concerned about preserving our right to individual freedom.
Publisher: Penguin
ISBN: 1101147555
Category : Philosophy
Languages : en
Pages : 353
Book Description
Ayn Rand chose Leonard Peikoff to be her successor as the spokesman for Objectivism. And in this brilliantly reasoned, thought-provoking work we learn why, as he demonstrates how far America has been detoured from its original path and led down the same road that Germany followed to Nazism. Self-sacrifice, Oriental mysticism, racial "truth," the public good, doing one's duty—these are among the seductive catch-phrases that Leonard Peikoff dissects, examining the kind of philosophy they symbolize, the type of thinking that lured Germany to its doom and that he says is now prevalent in the United States. Here is a frightening look at where America may be heading, a clarion call for all who are concerned about preserving our right to individual freedom.
Reports on routes near the 38th and 39th, 41st, and 32nd parallels. Report of a reconnaissance from Puget Sound
Author: United States. War Department
Publisher:
ISBN:
Category : Discoveries in geography
Languages : en
Pages : 698
Book Description
Publisher:
ISBN:
Category : Discoveries in geography
Languages : en
Pages : 698
Book Description
International Library of Technology
REPORT ON THE GEOLOGY OF THE ROUTE, NEAR THE THIRTY-SECOND PARALLEL: PREPARED FROM THE COLLECTION AND NOTES OF CAPT. POPE
Proceedings of the 1993 International Conference on Parallel Processing
Author: C.Y. Roger Chen
Publisher: CRC Press
ISBN: 9780849389849
Category : Computers
Languages : en
Pages : 392
Book Description
This three-volume work presents a compendium of current and seminal papers on parallel/distributed processing offered at the 22nd International Conference on Parallel Processing, held August 16-20, 1993 in Chicago, Illinois. Topics include processor architectures; mapping algorithms to parallel systems, performance evaluations; fault diagnosis, recovery, and tolerance; cube networks; portable software; synchronization; compilers; hypercube computing; and image processing and graphics. Computer professionals in parallel processing, distributed systems, and software engineering will find this book essential to their complete computer reference library.
Publisher: CRC Press
ISBN: 9780849389849
Category : Computers
Languages : en
Pages : 392
Book Description
This three-volume work presents a compendium of current and seminal papers on parallel/distributed processing offered at the 22nd International Conference on Parallel Processing, held August 16-20, 1993 in Chicago, Illinois. Topics include processor architectures; mapping algorithms to parallel systems, performance evaluations; fault diagnosis, recovery, and tolerance; cube networks; portable software; synchronization; compilers; hypercube computing; and image processing and graphics. Computer professionals in parallel processing, distributed systems, and software engineering will find this book essential to their complete computer reference library.
Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing
Author: J. J. Dongarra
Publisher: SIAM
ISBN: 9780898713039
Category : Science
Languages : en
Pages : 678
Book Description
This text gives the proceedings for the fifth conference on parallel processing for scientific computing.
Publisher: SIAM
ISBN: 9780898713039
Category : Science
Languages : en
Pages : 678
Book Description
This text gives the proceedings for the fifth conference on parallel processing for scientific computing.
Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing
Author: David H. Bailey
Publisher: SIAM
ISBN: 9780898713442
Category : Science
Languages : en
Pages : 900
Book Description
Proceedings -- Parallel Computing.
Publisher: SIAM
ISBN: 9780898713442
Category : Science
Languages : en
Pages : 900
Book Description
Proceedings -- Parallel Computing.
Proceedings of the 1993 International Conference on Parallel Processing
Author: Salim Hariri
Publisher: CRC Press
ISBN: 9780849389863
Category : Computers
Languages : en
Pages : 346
Book Description
This three-volume work presents a compendium of current and seminal papers on parallel/distributed processing offered at the 22nd International Conference on Parallel Processing, held August 16-20, 1993 in Chicago, Illinois. Topics include processor architectures; mapping algorithms to parallel systems, performance evaluations; fault diagnosis, recovery, and tolerance; cube networks; portable software; synchronization; compilers; hypercube computing; and image processing and graphics. Computer professionals in parallel processing, distributed systems, and software engineering will find this book essential to complete their computer reference library.
Publisher: CRC Press
ISBN: 9780849389863
Category : Computers
Languages : en
Pages : 346
Book Description
This three-volume work presents a compendium of current and seminal papers on parallel/distributed processing offered at the 22nd International Conference on Parallel Processing, held August 16-20, 1993 in Chicago, Illinois. Topics include processor architectures; mapping algorithms to parallel systems, performance evaluations; fault diagnosis, recovery, and tolerance; cube networks; portable software; synchronization; compilers; hypercube computing; and image processing and graphics. Computer professionals in parallel processing, distributed systems, and software engineering will find this book essential to complete their computer reference library.