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9780191035371

How to Think About Analysis

by
  • ISBN13:

    9780191035371

  • ISBN10:

    0191035378

  • Format: Nonspecific Binding
  • Copyright: 2014-09-25
  • Publisher: Oxford University Press Academic UK
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Author Biography


Lara Alcock, Senior Lecturer, Mathematics Education Centre, Loughborough University

Lara Alcock is a Senior Lecturer in the Mathematics Education Centre at Loughborough University. She studied Mathematics to Masters level at the University of Warwick before going on to doctoral study in Mathematics Education at the same Institution. She spent four years as an Assistant Professor in Mathematics at the Graduate School of Education at Rutgers University in the USA, and two as a Teaching Fellow in Mathematics at the University of Essex in the UK before taking up her present position. In her current position she teaches undergraduate Mathematics, works with PhD students in Mathematics Education, and conducts research studies on the ways in which people learn, understand and think about abstract mathematics.

Table of Contents


Part 1: Studying Analysis
1. What is Analysis like?
2. Axioms, Definitions and Theorems
3. Proofs
4. Learning Analysis
Part 2: Concepts in Analysis
5. Sequences
6. Series
7. Continuity
8. Differentiability
9. Integrability
10. The Real Numbers

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