Foundations of mathematical analysis

By:

Johnsonbaugh, Richard

Contributor(s):

Pfaffenberger, W. E [Co-author]

Publication details: Dover Publications Inc. 2010 New YorkDescription: xii, 429 pISBN:

9780486477664

Subject(s):

DDC classification:

515 J6F6

Summary: This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis. A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book. http://store.doverpublications.com/0486477665.html

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	Non-fiction	515 J6F6 (Browse shelf(Opens below))	Available		197293

Total holds: 0

Browsing Ahmedabad shelves, Collection: Non-fiction Close shelf browser (Hides shelf browser)

						Next
	515 G7F6 Foundations of applied mathematics	515 J6F6 Foundations of mathematical analysis	515 K6C2 Calculus for the ambitious	515 K7F6 Foundations of analysis	515 L2C2-2014 Calculus with applications	Next

This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.

http://store.doverpublications.com/0486477665.html

There are no comments on this title.

to post a comment.