Analysis with ultrasmall numbers
Author:
Series:
Publisher:
Varies, see individual formats and editions
Pub. Date:
[2015]
Language:
English
Description
Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard.
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ISBN:
9781498702669
9781322633879
9781498702652
9781322633879
9781498702652
Staff View
Grouping Information
Grouped Work ID | cd0a592b-d4a3-db03-cdb0-5a3135ae2506 |
---|---|
Grouping Title | analysis with ultrasmall numbers |
Grouping Author | karel hrbacek |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-04-27 02:35:29AM |
Solr Fields
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auth_author2
Lessmann, Olivier
O'Donovan, Richard 1953-
O'Donovan, Richard 1953-
author
Hrbacek, Karel, 1944-
author2-role
Lessmann, Olivier,author
O'Donovan, Richard1953-author
O'Donovan, Richard1953-author
author_display
Hrbacek, Karel
display_description
Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard.
format_category_ccu
eBook
format_ccu
eBook
id
cd0a592b-d4a3-db03-cdb0-5a3135ae2506
isbn
9781322633879
9781498702652
9781498702669
9781498702652
9781498702669
last_indexed
2024-04-27T08:35:29.726Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9781498702669
publishDate
2015
publisher
CRC Press, Taylor & Francis Group
Taylor & Francis
Taylor & Francis
recordtype
grouped_work
series
Textbooks in mathematics
series_with_volume
Textbooks in mathematics|
subject_facet
Calcul infinitésimal
Calcul infinitésimal -- Histoire
Calculus
Calculus -- History
Electronic books
History
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
calculus
Calcul infinitésimal -- Histoire
Calculus
Calculus -- History
Electronic books
History
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
calculus
title_display
Analysis with ultrasmall numbers
title_full
Analysis with ultrasmall numbers / Karel Hrbacek, Olivier Lessmann, Richard O'Donovan
title_short
Analysis with ultrasmall numbers
topic_facet
Calcul infinitésimal
Calculus
Histoire
History
MATHEMATICS
Mathematical Analysis
calculus
Calculus
Histoire
History
MATHEMATICS
Mathematical Analysis
calculus
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