An introduction to analysis

The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment o...

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Bibliographic Details
Main Authors: Mikusinski, Jan (Author), Mikusinski, Piotr (Author)
Format: Book
Language:English
Published: New Jersey World Scientific 2017
Subjects:
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Call Number :QA 300 .M55 2017

MARC

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090 |a QA 300  |b .M55 2017 
100 1 |a Mikusinski, Jan,  |e author. 
245 1 3 |a An introduction to analysis  |c Jan Mikusinski, Piotr Mikusinski. 
264 1 |a New Jersey  |b World Scientific  |c 2017 
300 |a xiv, 303 pages  |b illustrations  |c 26 cm. 
336 |a text  |2 rdacontent 
337 |a unmediated  |2 rdamedia 
338 |a volume  |2 rdacarrier 
500 |a Includes index. 
520 |a The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof. 
592 |a 37706  |b 26/08/2019  |c RM 348.37  |h Bookline 
650 0 |a Mathematical analysis. 
650 0 |a Calculus. 
650 0 |a Functions of real variables. 
700 1 |a Mikusinski, Piotr,  |e author. 
999 |a vtls000063772  |c 52576  |d 52576