Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
3000 years of analysis : mathematics in history and culture / Thomas Sonar ; translated by Patricia Morton and Keith William Morton.
Uniform Title
3000 Jahre Analysis. English
ISBN
9783030582234 (electronic bk.)
303058223X (electronic bk.)
9783030582210
3030582213
Published
Cham : Birkhäuser, [2021]
Language
English
Language Note
Translated from the German.
Description
1 online resource : illustrations
Item Number
10.1007/978-3-030-58223-4 doi
Call Number
QA300
Dewey Decimal Classification
515.09
Summary
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? Youll 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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 3, 2021).
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 17thCentury
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.
