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Mathematical analysis and proof

Author: David S G Stirling
Publisher: Chichester : Horwood, 2009.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
"This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Stirling, David S.G., 1947-
Mathematical analysis and proof.
(DLC) 2009288647
(OCoLC)303097065
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David S G Stirling
ISBN: 9780857099341 0857099345
OCLC Number: 869282246
Notes: Previous edition: Chichester : Albion, 1997.
Description: 1 online resource (iv, 250 pages) : illustrations
Contents: Setting the scene --
Logic and deduction --
Mathematical induction --
Sets and numbers --
Order and inequalities --
Decimals --
Limits --
Infinite series --
The structure of the real number system --
Continuity --
Differentiation --
Functions defined by power series --
Integration --
Functions of several variables --
Appendix: The expression of an integer as a decimal.
Responsibility: David S.G. Stirling.
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Abstract:

Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the  Read more...

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"Carefully treads the fine line between accuracy and exactitude. A comprehensive introduction, very much in the classical mould, chatty and written with common student misunderstandings in mind. Read more...

 
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