Mathematical writing

Mathematical writing

by Vivaldi, Franco

Type Book
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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. …

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Title Statements

  • Full title :Mathematical writing / Franco Vivaldi.

Summary

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.

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Edition Statements

  • Publication Date:©2014

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:London
  • Language:eng
  • Publication Date:©2014

The Physical Object

  • Description:xvii, 204 pages : : color illustrations ; : 24 cm.

Edition Identifiers

  • ISBN:9781447165262, 1447165268
  • oclc:ocn904377803
  • LC Classification:QA39.2
  • Dewey Decimal:510

Table of Contents

Some writing tips -- Essential dictionary I -- Essential dictionary II -- Mathematical sentences -- Describing functions -- Writing well -- Forms of argument -- Induction -- Existence and definitions -- Writing a thesis.

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