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Princeton University Library Catalog
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A first course in analysis / John B. Conway.
Author
Conway, John B., 1939-
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Format
Book
Language
English
Published/Created
Cambridge, United Kingdom : Cambridge University Press, 2018.
©2018
Description
xv, 340 pages ; 26 cm.
Availability
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA300 .C647 2018
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Details
Subject(s)
Mathematical analysis
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Textbooks
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Textbooks
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Series
Cambridge mathematical textbooks
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Summary note
"This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject." -- Provided by publisher.
Bibliographic references
Includes bibliographical references and index.
Contents
The real numbers
Differentiation
Integration
Sequences of functions
Metric and Euclidean spaces
Differentiation in higher dimensions
Integration in higher dimensions
Curves and surfaces
Differential forms.
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ISBN
9781107173149 ((Hardback))
1107173140 ((Hardback))
OCLC
965350294
Doi
10.1017/9781316779811
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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