Worlds Out of Nothing is popular PDF and ePub book, written by Jeremy Gray in 2011-02-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Worlds Out of Nothing can be Read Online from any device for your convenience.
Worlds Out of Nothing Book PDF Summary
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. 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 rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. 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.
Detail Book of Worlds Out of Nothing PDF
- Author : Jeremy Gray
- Release : 01 February 2011
- Publisher : Springer Science & Business Media
- ISBN : 9780857290601
- Genre : Mathematics
- Total Page : 390 pages
- Language : English
- PDF File Size : 13,5 Mb
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