A first course in analysis / John B. Conway.

Author
Conway, John B., 1939- [Browse]
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 Browse related items Request

    Details

    Subject(s)
    Library of Congress genre(s)
    Series
    Cambridge mathematical textbooks [More in this series]
    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.
    ISBN
    • 9781107173149 ((Hardback))
    • 1107173140 ((Hardback))
    OCLC
    965350294
    Doi
    • 10.1017/9781316779811
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