Thomas Sonar 
3000 Years of Analysis [PDF ebook] 
Mathematics in History and Culture

Wsparcie


What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals?


You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis.

€139.09
Metody Płatności

Spis treści

Prologue: 3000 Years of Analysis.- The Continuum in Greek-Hellenistic Antiquity.- How Knowledge Migrates – From Orientto Occident.- Continuum and Atomismin Scholasticism.- Indivisibles and Infinitesimals in the Renaissance.- At the Turn from the 16th to the 17th Century.- Newton and Leibniz-Giants and Opponents.- Absolutism , Enlightenment, Departure to New Shores.- On the Way to Conceptual Rigourin the 19th Century.- At the Turn to the 20th Century: Set Theory and the Search for the True Continuum.- Coming to full circle: Infinitesimals in Nonstandard Analysis.

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Język Angielski ● Format PDF ● Strony 706 ● ISBN 9783030582234 ● Rozmiar pliku 224.7 MB ● Tłumacz Morton Patricia & Keith William Morton ● Wydawca Springer International Publishing ● Miasto Cham ● Kraj CH ● Opublikowany 2020 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 7723364 ● Ochrona przed kopiowaniem Społeczny DRM

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