Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century (Springer Undergraduate Mathematics Series)

Description

Publisher: Springer; 1 edition
Language: english
ISBN: 1846286328
Paperback: 376 pages
Data: November 17, 2006
Format: PDF
Description: Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How - if at all - was it appreciated? What new questions did it generate?

Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry, as exemplified by Klein’s Erlangen Program, rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. It then concludes with discussions on geometry and formalism, examining the Italian contribution and Hilbert’s Foundations of Geometry; geometry and physics, with a look at some of Einstein’s ideas; and geometry and truth.

Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.

Jeremy Gray is Professor of the History of Mathematics and Director of the Centre for the History of the Mathematical Sciences at the Open University in England, and is an Honorary Professor in the Mathematics Department at the University of Warwick. He is the author, co-author, or editor of 14 books on the history of mathematics in the 19th and 20th Centuries.

?| Download - (2 Mb)

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Download links for "Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century (Springer Undergraduate Mathematics Series)":


How to Download
You may need eMule or Bittorrent to download ebook torrents or emule links.

Report Dead Link
Please leave a comment to report dead links, so that someone else may update new links.

1. Ebooks list page : 1314
2. Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century
3. Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century
4. Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century
5. Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century
6. [request_ebook] Geometry (Springer Undergraduate Mathematics)
7. Calculus of One Variable (Springer Undergraduate Mathematics Series)
8. Essential Topology (Springer Undergraduate Mathematics Series)
9. General Relativity (Springer Undergraduate Mathematics Series)
10. Essential Topology (Springer Undergraduate Mathematics Series)
11. Keith E. Hirst, «Calculus of One Variable (Springer Undergraduate Mathematics Series)»
12. Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)
13. Transformation Geometry: An Introduction to Symmetry (Undergraduate Texts in Mathematics)
14. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)
15. Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century
16. Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century