© 2014

Mathematical Writing


Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Franco Vivaldi
    Pages 1-7
  3. Franco Vivaldi
    Pages 9-30
  4. Franco Vivaldi
    Pages 31-50
  5. Franco Vivaldi
    Pages 51-75
  6. Franco Vivaldi
    Pages 77-92
  7. Franco Vivaldi
    Pages 93-111
  8. Franco Vivaldi
    Pages 113-137
  9. Franco Vivaldi
    Pages 139-149
  10. Franco Vivaldi
    Pages 151-164
  11. Franco Vivaldi
    Pages 165-180
  12. Back Matter
    Pages 181-204

About this book


This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.
The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition.
Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study.
Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.


Elementary Logic Mathematical Notation Mathematical Symbols Mathematical Thesis Mathematical Writing Proof Techniques

Authors and affiliations

  1. 1.School of Mathematical SciencesQueen Mary University of LondonLondonUnited Kingdom

About the authors

Franco Vivaldi is a mathematician at the University of London; his research lies at the interface between dynamical systems and number theory.

Bibliographic information

  • Book Title Mathematical Writing
  • Authors Franco Vivaldi
  • Series Title Springer Undergraduate Mathematics Series
  • Series Abbreviated Title SUMS
  • DOI
  • Copyright Information Springer-Verlag London 2014
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-1-4471-6526-2
  • eBook ISBN 978-1-4471-6527-9
  • Series ISSN 1615-2085
  • Series E-ISSN 2197-4144
  • Edition Number 1
  • Number of Pages XVII, 204
  • Number of Illustrations 0 b/w illustrations, 16 illustrations in colour
  • Topics Mathematics, general
  • Buy this book on publisher's site
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