Introduction to Mathematical Analysis, An
Description
AN INTRODUCTION TO MATHEMATICAL ANALYSIS is an elementary text on the theory of functions of one real variable and is intended for students with a good understanding of calculus. It is supposed to replace traditional and outmoded courses in mathematical analysis.The book begins with material on the real number system as a Dedekind complete ordered field, continuous functions, sequences and series of constant terms as well as of functions. Pointwise and uniform convergence of series of functions, power series, treatment of trigonometric and exponential functions in terms of series are discussed. A detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an example of a continuous nowhere differentiable function. There is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of , evaluation of without using multiple integration are normally not found in textbooks at this level.There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc).
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ISBN:
9781783320646
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Grouping Information
Grouped Work ID | e95465f2-f4f7-1013-e352-6029a492c4e9 |
---|---|
Grouping Title | introduction to mathematical analysis an |
Grouping Author | satish shirali |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-05-04 01:05:43AM |
Solr Fields
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0
accelerated_reader_reading_level
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auth_author2
Vasudeva, H. L.
Vasudeva, H.L.
Vasudeva, H.L.
author
Shirali, Satish
author2-role
Vasudeva, H. L
Vasudeva, H.L
Vasudeva, H.L
author_display
Shirali, Satish
display_description
AN INTRODUCTION TO MATHEMATICAL ANALYSIS is an elementary text on the theory of functions of one real variable and is intended for students with a good understanding of calculus. It is supposed to replace traditional and outmoded courses in mathematical analysis.The book begins with material on the real number system as a Dedekind complete ordered field, continuous functions, sequences and series of constant terms as well as of functions. Pointwise and uniform convergence of series of functions, power series, treatment of trigonometric and exponential functions in terms of series are discussed. A detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an example of a continuous nowhere differentiable function. There is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of , evaluation of without using multiple integration are normally not found in textbooks at this level.There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc).
format_category_ccu
eBook
format_ccu
eBook
id
e95465f2-f4f7-1013-e352-6029a492c4e9
isbn
9781783320646
last_indexed
2024-05-04T07:05:43.371Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9781783320646
publishDate
2013
publisher
Alpha Science International
recordtype
grouped_work
subject_facet
Electronic books
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
Mathematical analysis -- Textbooks
Mathematical analysis-Textbooks
Textbooks
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
Mathematical analysis -- Textbooks
Mathematical analysis-Textbooks
Textbooks
title_display
Introduction to Mathematical Analysis, An
title_full
Introduction to Mathematical Analysis, An Shirali, Satish.
title_short
Introduction to Mathematical Analysis, An
topic_facet
Calculus
MATHEMATICS
Mathematical Analysis
Mathematical analysis
Mathematical analysis-Textbooks
MATHEMATICS
Mathematical Analysis
Mathematical analysis
Mathematical analysis-Textbooks
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record_details
Bib Id | Format | Format Category | Edition | Language | Publisher | Publication Date | Physical Description | Abridged |
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fortlewisebscoebooksub:on1035516455 | eBook | eBook | English | Alpha Science International | 2013 | 1 online resource (376 pages) | ||
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ebscoacademiccmc:on1035516455 | eBook | eBook | English | Alpha Science International | 2013 | 1 online resource (376 pages) |
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