THE BIG SALE IS ON! TELL ME MORE

Close Notification

Your cart does not contain any items

Foundations of Real and Abstract Analysis by Douglas S. Bridges at Abbey's Bookshop,
Foundations of Real and Abstract Analysis
— —
Douglas S. Bridges

Foundations of Real and Abstract Analysis

Douglas S. Bridges

$130.95   $105.07

Paperback

Not in-store but you can order this
How long will it take?
English
Springer-Verlag New York Inc.
07 March 2013
Management decision making; Operational research; Real analysis, real variables
Series: Graduate Texts in Mathematics
The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level. The motivation for each of these chapters is the generalisation of a particular attribute of the n Euclidean space R: in Chapter 3, that attribute is distance; in Chapter 4, length; and in Chapter 5, inner product. In addition to the standard topics that, arguably, should form part of the armoury of any graduate student in mathematics, physics, mathematical economics, theoretical statistics,. . . , this part of the book contains many results and exercises that are seldom found in texts on analysis at this level. Examples of the latter are Wong’s Theorem (3.3.12) showing that the Lebesgue covering property is equivalent to the uniform continuity property, and Motzkin’s result (5. 2. 2) that a nonempty closed subset of Euclidean space has the unique closest point property if and only if it is convex. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Many universities have at times capitulated to the negative demand of students for analysis courses and have seriously watered down their expectations of students in that area. As a result, mathematics majors are graduating, sometimes with high honours, with little exposure to anything but a rudimentary course or two on real and complex analysis, often without even an introduction to the Lebesgue integral.
By:  
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   174
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 18mm
Weight:   528g
ISBN:   9781475771619
ISBN 10:   1475771614
Series:   Graduate Texts in Mathematics
Pages:   322
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Real Analysis.- Analysis on the Real Line.- Differentiation and the Lebesgue Integral.- Abstract Analysis.- Analysis in Metric Spaces.- Analysis in Normed Linear Spaces.- Hilbert Spaces.- An Introduction to Functional Analysis.

See Also

Foundations of Real and Abstract Analysis

Nonlinear Differential Problems...

Dumitru Motreanu (Department of...

Paperback

$222.95 

Not in-store but you can order this

ADD +
Foundations of Real and Abstract Analysis

Classical and Multilinear Harmonic...

Camil Muscalu (Cornell University,...

Hardback

$114.95 

Not in-store but you can order this

ADD +
Foundations of Real and Abstract Analysis

Lineability

The Search for Linearity in Mathematics...

Richard M. Aron

Hardback

$326 

Not in-store but you can order this

ADD +
Foundations of Real and Abstract Analysis

Real Analysis for the Undergraduate...

With an Invitation to Functional...

Matthew A. Pons

Paperback

$123.95  $98.90

Not in-store but you can order this

ADD +
Foundations of Real and Abstract Analysis

Advanced Data Analysis and Modelling...

Denis Constales (Department of Mathematics,...

Hardback

$173.95 

Not in-store but you can order this

ADD +
Foundations of Real and Abstract Analysis

Inequalities

With Applications to Engineering...

Michael J. Cloud

Paperback

$130.95  $105.07

Not in-store but you can order this

ADD +