How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
Language: English
Published by World Scientific Publishing Co Pte Ltd, 2019
- Hardcover
- New

Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 152.11
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New Book. Shipped from UK. Established seller since 2000.
Seller Inventory # CX-9789812836373
- Title
- How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
- Author
- Vieri Benci
- Publisher
- World Scientific Publishing Co Pte Ltd
- Publication year
- 2019
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 9812836373
- ISBN 13
- 9789812836373
- Item weight
- 794 grams
The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.
The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: "The whole is larger than its parts". The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.
Readership: Advanced undergraduate and graduate students in mathematics and philosophy.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
PBShop.store US
Wood Dale, IL, U.S.A.
AbeBooks seller since April 7, 2005
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