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Handbook of Writing for the Mathematical Sciences
Contents Preface to the Second Edition Preface to the first edition 1 General Principles 2 Writers Tools and Recommended Reading 2.1 Dictionaries and thesauruses 1569 2.2 Usage and style guides 2.3 Technical Writing guides 2.4 General reading 12 Answers to the Questions at the Start of the Chapter.., 12 3 Mathematical Writing 15 3. 1 What Is a Theorem? 16 3.2 Proofs 17 3.3 The Role of Examples 18 3.4 Definitions 3.5 Notation 21 3.6 Words versus Symbols 24 3.7 Displaying Equations 27 3.8 Parallelism 28 3.9 Dos and Don'ts of Mathematical Writing 29 Punctuating Expressions 29 Otiose symbols 29 Placement of symbols 29 The”or“A 30 Notational synonyms 30 Referencing Equations 31 Miscellaneous 32 CONTENTS 4 English Usage 35 4.1 A or an? 36 4.2 Abbreviations 36 4.3 Absolute Words 37 4.4 Active versus Passive 37 4.5 Adjective and Adverb Abuse 39 4.6 -al and -age 47 Ambiguous This”and4lt”·· 40 40 4.8 British versus American Spelling 4.9 Capitalization 41 4.10 Common Misspellings or Confusions 4.11 Consist 4.12 Contractions 42 4.13 Dangling Participle 43 4.14 Distinctions 44 4.15 Elegant Variation 45 4.16 Enumeration 46 4.17 False if 46 4.18 Hyphenation 47 4.19 Linking Wol 48 4.20 Misused and ambiguous Words .49 421Nu b umbers 50 4.22 Omit These Words? 50 4.23 Paragraphs 50 4.24 Punctuation 51 4.25 Say It Better, Think It Gooder 53 4.26 Saying What You Mean 53 4.27 Sentence Opening 53 4.28 Simplification 53 4.29 Synonym Selection 54 4.30 Tense 4.31 What to call Yourself 56 4.32 Word Order 57 5 When English Is a Foreign Language 59 5.1 Thinking in English 60 5.2 Reading and Analysing Other Papers 61 5.3 Distinctions 62 5.4 Articles 62 5.5 Ordinal numbers 63 56 Negatives· 63 5.7 Constructions 63 ONTENTS 11 5.8 Connecting Words and Phrases 64 5.9 Spelling 69 5.10 Keeping It Simple 71 5.11 Using a Dictionary 72 5.12 Punctuation 74 5. 13 Computer Aids 74 5. 14 English Language Qualifications 75 5.15 Further Reading 6 Writing a Paper 77 6.1 Audience 6.2 Organization and structure 63①itle 80 6.4 Author List 83 6.5 Date 85 6.6 Abstract 85 6.7 Key Words and Subject Classifications 87 6. 8 The Introduction 87 6.9 Computational Experiments 89 6.10 Tables 90 6.11 Citations 94 6.12 Conclusions 6. 13 Acknowledgements 96 6.14 Appendix 97 6.15 Reference List 97 6.16 Specifics and Deprecated Practices Capitalization Dangling theorem Footnotes 103 Numbering mathematical Objects..............103 Plagiarism ,104 The invalid The 105 This Paper proves 105 7 Revising a Draft 107 7. 1 How to revise 7.2 Examples of Prose 109 73 Examples Involving Equations·· 116 7.4 Examples from My Writing... 119 7.5 A Revised Proof 120 7. 6 A Draft Article for Improvement 122 CoNTENTS 8 Publishing a Paper 125 8.1 Choosing a Journal 126 8.2 Submitting a Manuscript 129 8.3 The Refereeing Process 130 8.4 How to Referee 133 8.5 The Role of the Copy editor ,,135 8.6 Checking the Proofs 136 8.7 Author- typeset TEX 140 8.8 Copyright Issues 143 8.9 A siaM Journal Article 143 TEX Papers 144 Non- lEX Papers 144 9 Writing and Defending a Thesis 147 9.1 The Purpose of a Thesis 148 9.2 Content 148 9.3 Presentation 150 9. 4 The Thesis Defence .,151 9.5 Further Reading .,153 10 Writing a Talk 155 10. 1 What Is a, talk? 156 10. 2 Designing the Talk 157 10.3 Writing the Slides ..159 Legibility of the slides 161 How Many slides? 162 Handwritten or Typeset? 162 10.4 Example Slides 163 10.5 Further reading 164 11 Giving a Talk 171 11.1 Preparation 11.2 Delivery ··非 174 11.3 Further reading 178 12 Preparing a Poster 179 12.1 What Is a Poster? 180 12.2 A Poster Tells a story 180 12.3 Designing Your Poster 181 12.4 Transportation and the Poster Session 183 12.5 A Word to Conference Organizers 183 CoNTENTS 13 TEX and IATF成x 185 13.1 What are TEX and IAlEX? 186 13.2 Tips for Using IATEX 187 Dashes 188 Delimiters 188 Figures in IATEX 189 File Names and Internet Addresses ,189 Labels ...190 Macros 190 Miscellaneous mathematics .190 Quotes, Dates, Lists and Paragraphs 192 Running IAleX, BiBlEX and makelndex 193 Source code 193 S pacing in Fo ormulas 194 Ties and Spaces 196 13.3 BIBTEX 196 13.4 Indexing and Makelndex 202 13.5 Further Sources of Information 206 14 Aids and Resources for Writing and Research 209 14.1 Internet Resources 210 Newsgroups 9 Digests 210 Netlib .212 e-MATH 212 14.2 Library Classification Schemes ..,212 14.3 Review Abstract and Citation Services 213 14.4 Text Editors 216 14.5 Spelling Checking, Filters and Pipes ,218 14.6 Style Checkers 221 a The Greek Alphabet 223 B Summary of TEX and IATEX Symbols 225 C gnu Emacs Commands 235 D Mathematical and Other Organizations 239 E Prizes for Expository Writing 243 Glossary 263 CoNTeNtS Bibliography 269 Name Index 289 Subject Index 293 Preface to the second edition In the five years since the first edition of this book was published I have received numerous email messages and letters from readers commenting on the book and suggesting how it could be improved. I have also built up a large file of ideas based on my own experiences in reading, writing, and editing and in examining and supervising theses. With the aid of all this information I have completely revised the book. The most obvious changes in this second edition are the new chapters Writing and Defending a Thesis. Since many of the readers of the book are graduate students, advice on how to write a thesis and how to handle the thesis defence was a natural addition Giving a Talk. The revised chapter "Writing a Talk?"from the first edition gives advice on preparing slides for a talk. The new chapter explains how to deliver a talk in front of an audience Preparing a Poster. The poster is growing in popularity as a medium of communication at conferences and elsewhere, yet many of us have little experience of preparing posters TEX and EATEX. Since the first edition of this book was published IATEX 2E has become the official version of IATEX, thereby solving many of the problems involving, for example, incompatible dialects of IATEX, font handling, and inclusion of Postscript figures in a IATEX document. I have moved the discussion of TEX, IATEX, and their associated tools to a new chapter. Many more tips on the use of TEX and LATEX for typesetting mathematics are now given, and the discussions of BIBTEX and indexing have been expanded. The many mathematical symbols in the AMS fonts have been added to appendix B(“ Summary of TEX and理 EX Symbols”). Among the new material in existing chapters, the section "How to ref- eree"in the chapter "Publishing a Paper"offers advice on this important aspect of the publication process, and in the chapter "Writing a Paper suggested formats are given for referencing items on the World Wide Web PREFACE TO THE SECOND EDITION The renamed chapter " Aids and Resources for Writing and Research contains a new section "Library Classification Schemes", which should help readers to find their way around libraries. The material on the Internet in this chapter has been completely rewritten in the light of the World wide Web(which was not mentioned in the first edition). I have minimized the number of URLs(Web addresses)given, for two reasons. First, URLs can and do change over time. Second, if you want to know more about almost any subject mentioned in the book, just choose appropriate key words(e. g mathematical writing”,“ Roget’ s Thesaurus”,or“ Society of Indexers” and invoke your favourite search engine from your Web browser. There is a good chance that you will find the information, or particular Web pages that you are looking for The subject of mathematical writing can easily become dull and boring so to liven it up I like to include anecdotes, unusual paper titles, humorous quotations, and so on. The new edition contains many more of these Separate author and subject indexes are now provided. The author index removes some clutter from the subject index, and you can use it to find where references in the bibliography are discussed The bibliography has been updated. Many new editions of books are referenced and over 70 new references have been added a Web page has been created for the book, at http://www.siam.org/books/ot63/ It includes o Updates relating to material in the book Links to references in the bibliography that are available on the Web o Links to other Web pages related to mathematical writing, HAEX BIBTEX, etc. Links to Web pages giving examples of posters The bibliography for the book in BIBTeX form, which is also available from binet as han-wri-mat-sci bib Several people helped with the second edition by reading and comment ing on drafts David Abrahams, Henri Casanova, Bobby Cheng, Tony Cox Des Higham, Doris Higham, Nil Mackey, Alicia Roca, Francoise Tisseur, Nick Trefethen, Joan Walsh, barry white 【实例截图】
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