How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers

Enjoying reading this book?

How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers

by Mauro Di Nasso and Vieri Benci

4.3

4.3 out of 5

Creators

Author Mauro Di Nasso and Vieri Benci

Publisher World Scientific Publishing Co Pte Ltd

Synopsis This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle's principle: "The whole is larger than its parts." It also contains an original introduction to nonstandard analysis. The basic principles are presented in an elementary way by using the ordinary language of mathematics. This is to be contrasted with other introductions, where technical notions from logic are used which are not familiar to most mathematicians. This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, and has cultivated a broad range of interests in applications of mathematics; while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.

Enjoying reading this book?

Binding: Hardcover

About the author

Specifications

Language: English
Publisher: World Scientific Publishing Co Pte Ltd
Pages: 348 pages
Binding: Hardcover

ISBN: 9789812836373
Category: Mathematics & logic
Related Category: Natural Sciences