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A First Course in Mathematical Analysis

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Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.

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Series Title

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Publisher

: Cambridge University Press., 2012

Collation

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Language

English

ISBN/ISSN

9780511803949

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Mathematics, Real and Complex Analysis

Specific Detail Info

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Statement of Responsibility

David Alexander Brannan

Other Information

Cataloger

Arin

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Digital Object Identifier (DOI)

https://doi.org/10.1017/CBO9780511803949

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