Download Leibniz on the Parallel Postulate and the Foundations of by Vincenzo De Risi PDF
By Vincenzo De Risi
This ebook bargains a common advent to the geometrical stories of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. particularly, it specializes in his conception of parallel strains and his makes an attempt to end up the recognized Parallel Postulate. in addition it explains the position that Leibniz’s paintings performed within the improvement of non-Euclidean geometry. the 1st half is an outline of his epistemology of geometry and some of his geometrical findings, which places them within the context of the seventeenth-century experiences at the foundations of geometry. It additionally offers a close mathematical and philosophical statement on his writings at the conception of parallels, and discusses how they have been obtained within the eighteenth century in addition to their relevance for the non-Euclidean revolution in arithmetic. the second one half bargains a suite of Leibniz’s essays at the conception of parallels and an English translation of them. whereas some of these papers have already been released (in Latin) within the average Leibniz variants, so much of them are transcribed from Leibniz’s manuscripts written in Hannover, and released right here for the 1st time. The e-book offers new fabric at the heritage of non-Euclidean geometry, stressing the formerly overlooked function of Leibniz in those developments.
This quantity could be of curiosity to historians in arithmetic, philosophy or good judgment, in addition to mathematicians drawn to non-Euclidean geometry.
Read Online or Download Leibniz on the Parallel Postulate and the Foundations of Geometry: The Unpublished Manuscripts (Science Networks. Historical Studies) PDF
Similar geometry & topology books
The geometry of the hyperbolic aircraft has been an energetic and engaging box of mathematical inquiry for many of the prior centuries. This booklet offers a self-contained advent to the topic, delivering the reader with a company take hold of of the innovations and methods of this gorgeous region of arithmetic.
This booklet bargains with fractals in figuring out difficulties encountered in earth technology, and their ideas. It begins with an research of 2 periods of tools (homogeneous fractals random types, and homogeneous resource distributions or “one element” distributions) largely subtle within the geophysical neighborhood, specifically for learning capability fields and their similar resource distributions.
This 1994 publication introduces the instruments of recent differential geometry, external calculus, manifolds, vector bundles and connections, to complicated undergraduate and starting graduate scholars in arithmetic, physics and engineering. The booklet covers either classical floor idea and the trendy idea of connections and curvature, and encompasses a bankruptcy on purposes to theoretical physics.
This booklet provides a rigorous therapy of the basics of aircraft geometry: Euclidean, round, elliptical and hyperbolic. the first goal is to acquaint the reader with the classical result of aircraft Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, type of isometries, attitude addition and trigonometrical formulae.
- Moduli of Weighted Hyperplane Arrangements (Advanced Courses in Mathematics - CRM Barcelona)
- Information Geometry: Near Randomness and Near Independence (Lecture Notes in Mathematics)
- CR Submanifolds of Complex Projective Space: 19 (Developments in Mathematics)
- Topological Invariants of Stratified Spaces (Springer Monographs in Mathematics)
- Research Problems in Discrete Geometry
Extra info for Leibniz on the Parallel Postulate and the Foundations of Geometry: The Unpublished Manuscripts (Science Networks. Historical Studies)