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Sets, Functions and Logic

Basic concepts of university mathematics

  • Book
  • © 1981

Overview

Authors:
  1. Keith J. Devlin

    1. University of Lancaster, UK

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-ix
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  2. Use of language in mathematics

    • Keith J. Devlin
    Pages 1-31

  3. Sets and functions

    • Keith J. Devlin
    Pages 32-53

  4. The real numbers

    • Keith J. Devlin
    Pages 54-65

  5. Complex numbers

    • Keith J. Devlin
    Pages 66-87

  6. Back Matter

    Pages 88-90
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Keywords

About this book

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {'the language of mathematics'} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty.

Authors and Affiliations

  • University of Lancaster, UK

    Keith J. Devlin

Bibliographic Information

  • Book Title: Sets, Functions and Logic

  • Book Subtitle: Basic concepts of university mathematics

  • Authors: Keith J. Devlin

  • DOI: https://doi.org/10.1007/978-1-4899-2967-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: K. J. Devlin 1981

  • Softcover ISBN: 978-0-412-22660-1Published: 01 January 1981

  • eBook ISBN: 978-1-4899-2967-9Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: IX, 90

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Functional Analysis

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