Undergraduate analysis : a working textbook / Aisling McCluskey, Brian McMaster.

Format:

Book

Author/Creator:

McCluskey, Aisling, author.

McMaster, Brian, author.

Language:

English

Subjects (All):

Mathematical analysis.

Physical Description:

1 online resource (398 pages)

Edition:

1st ed.

Place of Publication:

New York, New York : Oxford University Press, 2018.

Summary:

An innovative self-contained Analysis textbook for undergraduates, that takes advantage of proven successful educational techniques.

Contents:

Preliminaries

Limit of a sequence - an idea, a definition, a tool

Interlude: different kinds of numbers

Up and down - increasing and decreasing sequences

Special (or specially awkward) examples

Endless sums - a first look at series

Continuous functions - the domain thinks that the graph is unbroken

Limit of a function

Epsilontics and functions

Infinity and function limits

Differentiation - the slope of a graph

The Cauchy condition - sequences whose terms pack tightly together

More about series

Uniform continuity - continuity's global cousin

Differentiation - mean value theorems, power series

Riemann integration - area under a graph

The elementary functions revisited

Exercises: for additional practice.

Notes:

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-254983-9

OCLC:

1034724536