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  • Textbook
  • © 2014

Mathematical Writing

Authors:

  • Teaches undergraduate students to learn and improve their mathematical writing skills
  • Contains many exercises and solutions for self-learners
  • Tried and tested for many years on courses at Queen Mary, University London
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
  2. Some Writing Tips

    • Franco Vivaldi
    Pages 1-7
  3. Essential Dictionary I

    • Franco Vivaldi
    Pages 9-30
  4. Essential Dictionary II

    • Franco Vivaldi
    Pages 31-50
  5. Mathematical Sentences

    • Franco Vivaldi
    Pages 51-75
  6. Describing Functions

    • Franco Vivaldi
    Pages 77-92
  7. Writing Well

    • Franco Vivaldi
    Pages 93-111
  8. Forms of Argument

    • Franco Vivaldi
    Pages 113-137
  9. Induction

    • Franco Vivaldi
    Pages 139-149
  10. Existence and Definitions

    • Franco Vivaldi
    Pages 151-164
  11. Writing a Thesis

    • 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.

Authors and Affiliations

  • School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom

    Franco Vivaldi

About the author

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

  • DOI: https://doi.org/10.1007/978-1-4471-6527-9

  • Publisher: Springer London

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag London 2014

  • Softcover ISBN: 978-1-4471-6526-2Published: 18 November 2014

  • eBook ISBN: 978-1-4471-6527-9Published: 04 November 2014

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: XVII, 204

  • Number of Illustrations: 16 illustrations in colour

  • Topics: Mathematics, general

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 37.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access