Sets, Functions and Logic

Basic concepts of university mathematics

  • Keith J. Devlin

Table of contents

  1. Front Matter
    Pages i-ix
  2. Keith J. Devlin
    Pages 1-31
  3. Keith J. Devlin
    Pages 32-53
  4. Keith J. Devlin
    Pages 54-65
  5. Keith J. Devlin
    Pages 66-87
  6. Back Matter
    Pages 88-90

About this book

Introduction

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.

Keywords

Calc calculus complex number derivative differential calculus function functions language mathematics proof real number university

Authors and affiliations

  • Keith J. Devlin
    • 1
  1. 1.University of LancasterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-2967-9
  • Copyright Information Springer Science+Business Media New York 1981
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-412-22660-1
  • Online ISBN 978-1-4899-2967-9
  • About this book
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