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Titlebook: Mathematical Writing; Franco Vivaldi Textbook 2014 Springer-Verlag London 2014 Elementary Logic.Mathematical Notation.Mathematical Symbols

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发表于 2025-3-21 18:12:47 | 显示全部楼层 |阅读模式
书目名称Mathematical Writing
编辑Franco Vivaldi
视频video
概述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,
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Mathematical Writing;  Franco Vivaldi Textbook 2014 Springer-Verlag London 2014 Elementary Logic.Mathematical Notation.Mathematical Symbols
描述.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,
出版日期Textbook 2014
关键词Elementary Logic; Mathematical Notation; Mathematical Symbols; Mathematical Thesis; Mathematical Writing
版次1
doihttps://doi.org/10.1007/978-1-4471-6527-9
isbn_softcover978-1-4471-6526-2
isbn_ebook978-1-4471-6527-9Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2014
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Some Writing Tips,ented, which are poorly formed in one way or another: incorrect grammar, inappropriate use of numbers and symbols, poor style. A correct version of each sentence is given, supported by guidelines and tips.
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Forms of Argument,n, the use of counterexamples to disprove statements. Then we turn to the effective delivery of an argument. We present examples of poorly written proofs; they are analysed in detail and then re-written with improved coherence, clarity, and style.
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Induction,xiom, infinite descent, the induction principle, and strong induction. While these statements are logically equivalent, they are appropriate for different situations, which we illustrate with examples.
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