The Mathematical Works of Bernard Bolzano

Zusatztext The book will be very interesting and helpful for historians of mathematics who are interested in the development of mathematics in the first half of the 19th century. Klappentext Bernard Bolzano (1781-1848! Prague) was an outstanding thinker and reformer! far ahead of his times in many areas! including philosophy! ethics! politics! logic! theology and physics! and mathematics. Aimed at historians of mathematics! philosophy! ethics and logic! this volume contains the first English translations of some of his most significant mathematical writings! which contain the details of many celebrated insights and anticipations: clear topological definitions of various geometric extensions! an effective statement and use of the Cauchy convergence before it appears in Cauchy's work! remarkable results on measurable numbers (a version of real numbers)! on functions (the construction of a continuous! non-differentiable function around 1830) and on infinite collections. Zusammenfassung Bernard Bolzano (1781-1848) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, this volume contains English translations of many of Bolzano's most significant mathematical writings.

Product details

• Authors: Steve Russ, Steve (Department of Computer Science Russ, Russ Steve
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 17.02.2005
• EAN: 9780198539308
• ISBN: 978-0-19-853930-8
• No. of pages: 698
• Dimensions: 165 mm x 235 mm x 51 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Non-fiction book > Nature, technology > Biographies, autobiographies; SCIENCE / History, SCIENCE / Philosophy & Social Aspects, MATHEMATICS / History & Philosophy, BIOGRAPHY & AUTOBIOGRAPHY / Science & Technology, Philosophy of Science, History of Science, Philosophy of Mathematics, Biography: science, technology & medicine, Biography: science, technology and medicine