Foundations of Real and Abstract Analysis

Language: English

Published by Springer-Verlag New York Inc., US, 1997

0387982396 / 9780387982397

  • Hardcover
  • New
See all details

Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK

5-star seller

AbeBooks seller since June 11, 2025

View this seller's items
Hardcover

Condition: New

£ 82.92

£ 65.00 shipping 
Ships from United Kingdom to U.S.A.

Quantity: Over 20 available

Add to basket
Free 30-day returns

Item description from seller

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.

Seller Inventory # LU-9780387982397

Title
Foundations of Real and Abstract Analysis
Author
Douglas S. Bridges
Publisher
Springer-Verlag New York Inc., US
Publication year
1997
Condition
New
Binding
Hardback
Language
English
ISBN 10
0387982396
ISBN 13
9780387982397
Edition
1998 ed.

Rarewaves.com UK

London, United Kingdom

5-star seller

AbeBooks seller since June 11, 2025

Shipping rates from United Kingdom to U.S.A.

Item60 to 60 business days60 to 60 business days
First item£ 65.00£ 100.00
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Payment methods

  • Visa
  • Mastercard
  • American Express
  • Apple Pay
  • Google Pay

Seller's business information

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, United Kingdom W1W 8BE