By L. Boi, D. Flament, Jean-Michel Salanskis

Within the first 1/2 the nineteenth century geometry replaced greatly, and withina century it helped to revolutionizeboth arithmetic and physics. It additionally placed the epistemologyand the philosophy of technological know-how on a brand new footing. In thisvolume a legitimate assessment of this improvement is given byleading mathematicians, physicists, philosophers, andhistorians of technological know-how. This interdisciplinary procedure givesthis assortment a different personality. it may be used byscientists and scholars, however it additionally addresses a generalreadership.

**Read or Download Century of Geometry, 1830-1930: Epistemology, History, and Mathematics PDF**

**Similar geometry books**

This can be the second one a part of the 2-volume textbook Geometry which supplies a truly readable and energetic presentation of huge components of geometry within the classical experience. an enticing attribute of the e-book is that it appeals systematically to the reader's instinct and imaginative and prescient, and illustrates the mathematical textual content with many figures.

**The Works of Archimedes (Dover Books on Mathematics)**

Entire works of historical geometer in hugely obtainable translation by way of distinct pupil. subject matters contain the recognized difficulties of the ratio of the parts of a cylinder and an inscribed sphere; the dimension of a circle; the homes of conoids, spheroids, and spirals; and the quadrature of the parabola.

With reference to every body takes a geometry classification at one time or one other. And whereas a few humans fast snatch the techniques, so much locate geometry difficult. masking every thing one could anticipate to come across in a highschool or university path, Idiot's publications: Geometry covers every little thing a pupil would have to comprehend.

**The Special Theory of Relativity: A Mathematical Approach**

The booklet expounds the main issues within the distinctive concept of relativity. It presents an in depth exam of the mathematical beginning of the distinctive concept of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. in addition to covariant formula of relativistic mechanics and electrodynamics, the booklet discusses the relativistic impact on photons.

- Projective geometry of N dimensions (of Intro. to modern algebra and matrix theory)
- Geometry and Symmetry (Dover Books on Advanced Mathematics)
- The Non-Euclidean Revolution
- Configurations of Points and Lines (Graduate Studies in Mathematics)

**Extra info for Century of Geometry, 1830-1930: Epistemology, History, and Mathematics**

**Example text**

Surprisingly there are no indications whatsoever that Riemann knew more than superficially of Bolyai's and Lobachevskii's work and maybe even not at all Consequently he did not bother about the intimate potential connection between his and their considerations. I shall try to give the main arguments for this thesis which I have discussed more in detail elsewhere [Scholz 1982b]. It may even be surprising that in Riemann's inaugural lecture the only "modern reformer of geometry" cited by name was Legendre.

Vol. 2. Boston: Publish or Perish. J. Gray Faculty of Mathematics, Open University, Milton Keynes, MK7 6AA, England The theme of this conference which I wish to address is the status of geometry, in particular the introduction of group-theoretic ideas into geometry; I hope that what I shall say will provide an introduction to some of the papers to be presented later. I shall go on to describe how Poincard came to develop his ideas about non-Euclidean geometry at the very start of his career. More generally, I shall claim that non-Euclidean geometry was a decisive arena for the recognition of the importance that ideas of group theory play in geometry of any kind.

His paper on this topic had been entered for the prize offered by the Acadgmie des Sciences. He had obtained a spider's web (in his phrase) of triangles in the unit disc and needed to know if they ever overlapped s. Since their sides were generally curved, in fact arcs of circles perpendicular to the unit circle, he had decided to study them by straightening them out, thus obtaining a different figure, still bounded by the unit circle, but in which all the sides were straight. His realisation on boarding the bus was that this second picture was the Kleinian (or projective) one of non-Euclidean geometry and so, necessarily, his original picture must be.