A Primer of Mathematical Writing : Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read, and Appreciated, Second Edition

This is the second edition of a book originally published in 1997. Today the internet virtually consumes all of our lives (especially the lives of writers). As both readers and writers, we are all aware of blogs, chat rooms, and preprint servers. There are now electronic-only journals and print-on-demand books, Open Access journals and joint research projects such as MathOverflow—not to mention a host of other new realities. It truly is a brave new world, one that can be overwhelming and confusing. The truly new feature of this second edition is an extensive discussion of technological developments. Similar to the first edition, Krantz's frank and straightforward approach makes this book particularly suitable as a textbook for an undergraduate course. Reviews and Endorsements of the First Edition: Krantz, a prolific and distinguished mathematical author, discourses engagingly (yet seriously) on the art and etiquette of virtually all types of writing an academic mathematician is likely to encounter … Grammatical points, stylistic and typesetting issues, and the correct and effective use of mathematical notation are handled deftly and with good humor … [Hopefully] senior faculty will consider it mandatory reading for graduate students and even upper-division undergraduates. An enjoyable way to learn some fundamentals of good mathematical writing. Highly recommended. —CHOICE Well written in a lively style and will be found useful by anybody who is aware of the power and significance of writing in the mathematical profession. —European Mathematical Society Newsletter Cover Title page Preface to the Second Edition Preface to the First Edition The Basics \ifnum1>\c@secnumdepth\elseWhat It Is All About \ifnum2>\c@secnumdepth\elseHow to Write and Why to Write \ifnum2>\c@secnumdepth\elseThe Research Paper \ifnum1>\c@secnumdepth\elseWho Is My Audience? \ifnum2>\c@secnumdepth\elseIdentifying Your Audience \ifnum1>\c@secnumdepth\elseWriting and Thought \ifnum2>\c@secnumdepth\elseClear Thinking \ifnum2>\c@secnumdepth\elseResearch Mathematics \ifnum2>\c@secnumdepth\elseVarious Drafts \ifnum2>\c@secnumdepth\elseWriting as an Enabling Activity \ifnum1>\c@secnumdepth\elseSay What You Mean, Mean What You Say \ifnum2>\c@secnumdepth\elseObscure Language \ifnum2>\c@secnumdepth\elseLinear Versus Nonlinear \ifnum2>\c@secnumdepth\elseGlobal Issues \ifnum2>\c@secnumdepth\elseLanguage as a Weapon \ifnum1>\c@secnumdepth\elseDiction \ifnum2>\c@secnumdepth\elseCareful Use of Words \ifnum2>\c@secnumdepth\elseAttitude \ifnum2>\c@secnumdepth\elseCorruption of Language \ifnum2>\c@secnumdepth\elseWhat Is in a Title? \ifnum2>\c@secnumdepth\elseAccuracy in Writing \ifnum2>\c@secnumdepth\elseAlliteration \ifnum2>\c@secnumdepth\else“Hence” and Related Words \ifnum2>\c@secnumdepth\elseOverused and Unnecessary Notation \ifnum2>\c@secnumdepth\elseEffective Use of Notation \ifnum2>\c@secnumdepth\elseWords as Objects \ifnum2>\c@secnumdepth\elseSingular Versus Plural \ifnum2>\c@secnumdepth\elseBig Words and Pretension \ifnum2>\c@secnumdepth\elseForeign Words and Phrases \ifnum2>\c@secnumdepth\elseFlippancy and Faddish Prose \ifnum2>\c@secnumdepth\elsePronouns \ifnum2>\c@secnumdepth\elseThe Role of English \ifnum2>\c@secnumdepth\elseAcronyms \ifnum2>\c@secnumdepth\elseJargon \ifnum1>\c@secnumdepth\elseProofreading, Reading for Sound and Sense \ifnum2>\c@secnumdepth\elseProofreading \ifnum2>\c@secnumdepth\elseWriting with Good Sense \ifnum1>\c@secnumdepth\elseCompound Sentences, Passive Voice \ifnum2>\c@secnumdepth\elseOverly Complex Sentences \ifnum2>\c@secnumdepth\elsePassive Voice \ifnum1>\c@secnumdepth\elseTechnical Aspects of Writing a Paper \ifnum2>\c@secnumdepth\elseDetails of Your Draft \ifnum2>\c@secnumdepth\elseNumbering Systems \ifnum2>\c@secnumdepth\elseUse of Paper and Ink \ifnum2>\c@secnumdepth\elseBibliographic References \ifnum2>\c@secnumdepth\elseThe Writing Process \ifnum1>\c@secnumdepth\elseMore Details of Mathematical Writing \ifnum2>\c@secnumdepth\elseEffective Sentence Structure \ifnum2>\c@secnumdepth\elseOveruse of Commas \ifnum2>\c@secnumdepth\elseMiscellaneous Stipulations \ifnum1>\c@secnumdepth\elseEssential Rules of Grammar, Syntax, and Usage \ifnum2>\c@secnumdepth\elseIntroduction \ifnum2>\c@secnumdepth\elseRules of Grammar and Syntax \ifnum1>\c@secnumdepth\elseMore Rules of Grammar, Syntax, and Usage \ifnum2>\c@secnumdepth\elseIntroduction \ifnum2>\c@secnumdepth\elseMore Rules of Grammar and Syntax Topics Specific to the Writing of Mathematics \ifnum1>\c@secnumdepth\elseHow to Organize a Paper \ifnum2>\c@secnumdepth\elseTitle, Authors, Abstract, Etc. \ifnum2>\c@secnumdepth\elseOrganization of the Paper \ifnum1>\c@secnumdepth\elseHow to State a Theorem \ifnum2>\c@secnumdepth\elseEfficient and Elegant Statement of Your Results \ifnum2>\c@secnumdepth\elseA Better Way to State Your Result \ifnum1>\c@secnumdepth\elseHow to Prove a Theorem \ifnum2>\c@secnumdepth\elseThe Proof Is in the Pudding \ifnum2>\c@secnumdepth\elseTechnical Stuff in the Back \ifnum2>\c@secnumdepth\elseAnnounce Your Theorems and Proofs \ifnum1>\c@secnumdepth\elseHow to State a Definition \ifnum2>\c@secnumdepth\elseDefinitions as Fundamental Units \ifnum2>\c@secnumdepth\elseSupply Enough Definitions \ifnum2>\c@secnumdepth\elseTerminology Can Unify Ideas \ifnum1>\c@secnumdepth\elseHow to Write an Abstract \ifnum2>\c@secnumdepth\elseWhat Is an Abstract? \ifnum2>\c@secnumdepth\elseWhat to Include in the Abstract \ifnum1>\c@secnumdepth\elseHow to Write a Bibliography \ifnum2>\c@secnumdepth\elseCiting Your References \ifnum2>\c@secnumdepth\elseFormatting Your Bibliography \ifnum2>\c@secnumdepth\elseDifferent Bibliographic Methodologies \ifnum2>\c@secnumdepth\elseNicknames \ifnum2>\c@secnumdepth\elseStyles for Citation \ifnum1>\c@secnumdepth\elseWhat to Do Once the Paper is Written \ifnum2>\c@secnumdepth\elseWhat to Do with the Paper \ifnum2>\c@secnumdepth\elseMaking Progress \ifnum2>\c@secnumdepth\elsePublishing Your Paper \ifnum2>\c@secnumdepth\elseWhich Are the Best Journals? \ifnum2>\c@secnumdepth\elseJournal Backlog \ifnum2>\c@secnumdepth\elseWeb Submission \ifnum2>\c@secnumdepth\elseWaiting for a Decision \ifnum2>\c@secnumdepth\elseBringing the Matter to Conclusion \ifnum2>\c@secnumdepth\elseSkillful Use of \TeX \ifnum2>\c@secnumdepth\elseGalley Proofs \ifnum1>\c@secnumdepth\elseThe Importance of Notation \ifnum2>\c@secnumdepth\elseThe Use of Notation \ifnum2>\c@secnumdepth\elseNew Notation \ifnum1>\c@secnumdepth\elseA Coda on Collaborative Work \ifnum2>\c@secnumdepth\elseChoosing Your Collaborators \ifnum2>\c@secnumdepth\elseRespecting Your Collaborator \ifnum2>\c@secnumdepth\elseSticky Wickets \ifnum1>\c@secnumdepth\elseRecognition of Good Writing \ifnum1>\c@secnumdepth\elseClosing Thoughts on Effective Mathematical Writing Exposition \ifnum1>\c@secnumdepth\elseWhat Is Exposition? \ifnum2>\c@secnumdepth\elseSurveys and Other Exposition \ifnum2>\c@secnumdepth\elseThe Reader of Exposition \ifnum1>\c@secnumdepth\elseHow to Write an Expository Article \ifnum2>\c@secnumdepth\elseAuthoring Exposition \ifnum2>\c@secnumdepth\elseElements of a Good Survey \ifnum2>\c@secnumdepth\elseCautions Connected to a Survey \ifnum2>\c@secnumdepth\elseThe Survey as an Entrée \ifnum1>\c@secnumdepth\elseHow to Write an Opinion Piece \ifnum2>\c@secnumdepth\elseFormulating Your Opinion \ifnum2>\c@secnumdepth\elseResearch for an Opinion Piece \ifnum2>\c@secnumdepth\elseSupporting Your Opinion \ifnum2>\c@secnumdepth\elseConclusion of an Opinion Piece \ifnum1>\c@secnumdepth\elseThe Spirit of the Preface \ifnum2>\c@secnumdepth\elseWhy a Preface? \ifnum2>\c@secnumdepth\elseQuestions that the Preface Answers \ifnum2>\c@secnumdepth\elseThe Table of Contents \ifnum2>\c@secnumdepth\elseAn Onerous Task \ifnum1>\c@secnumdepth\elseHow Important Is Exposition? \ifnum2>\c@secnumdepth\elseThe Significance of Exposition \ifnum2>\c@secnumdepth\elseExposition as Teacher Other Types of Writing \ifnum1>\c@secnumdepth\elseThe Letter of Recommendation \ifnum2>\c@secnumdepth\elseWriting a Letter \ifnum2>\c@secnumdepth\elseResponsibility of the Letter Writer \ifnum2>\c@secnumdepth\elseGetting the Job Done \ifnum2>\c@secnumdepth\elseWhat to Say in the Letter \ifnum2>\c@secnumdepth\elseConclusion of the Letter \ifnum2>\c@secnumdepth\elseNegative Feelings \ifnum2>\c@secnumdepth\elseThe Body of the Letter \ifnum2>\c@secnumdepth\elseBinary Comparisons \ifnum2>\c@secnumdepth\elseOther Specifics in the Letter \ifnum2>\c@secnumdepth\elseTravesties in Letters \ifnum2>\c@secnumdepth\elseResponsibility of the Letter Writer \ifnum2>\c@secnumdepth\elseThe Closing Paragraph \ifnum2>\c@secnumdepth\elseLetters Are Not Formulaic \ifnum2>\c@secnumdepth\elseEnthusiasm in Letters \ifnum2>\c@secnumdepth\elseLetters for Students \ifnum2>\c@secnumdepth\elseDeclining to Write \ifnum2>\c@secnumdepth\elseLetters for Your Masters and Doctoral Students \ifnum2>\c@secnumdepth\elseTruth in Letters \ifnum2>\c@secnumdepth\elseAbility with English \ifnum2>\c@secnumdepth\elseThorny Matters \ifnum2>\c@secnumdepth\elseMiscellaneous Issues \ifnum1>\c@secnumdepth\elseThe Book Review \ifnum2>\c@secnumdepth\elseHow to Review a Book \ifnum2>\c@secnumdepth\elseDesiderata for a Book Review \ifnum2>\c@secnumdepth\elsePositive and Negative Reviews \ifnum2>\c@secnumdepth\elseHarsh Book Reviews \ifnum1>\c@secnumdepth\elseThe Referee’s Report \ifnum2>\c@secnumdepth\elseThe Art of Refereeing \ifnum2>\c@secnumdepth\elseTailoring Your Report to the Journal \ifnum2>\c@secnumdepth\elseReviewing a Book \ifnum1>\c@secnumdepth\elseThe Talk \ifnum2>\c@secnumdepth\elseHow to Hold Forth \ifnum2>\c@secnumdepth\elseWhat Not to Do \ifnum2>\c@secnumdepth\elseIngredients of a Good Talk \ifnum2>\c@secnumdepth\elseTime Management \ifnum2>\c@secnumdepth\elseHow to Finish a Talk \ifnum2>\c@secnumdepth\elseTypes of Talks \ifnum2>\c@secnumdepth\elseTalk Checklist \ifnum2>\c@secnumdepth\elseThe Philosophy of a Talk \ifnum2>\c@secnumdepth\elseHow to Present a Proof \ifnum2>\c@secnumdepth\elseEntry Points and Exit Points \ifnum2>\c@secnumdepth\elsePrepare \ifnum2>\c@secnumdepth\elseGive Proper Credit \ifnum2>\c@secnumdepth\elseBlackboard Technique \ifnum2>\c@secnumdepth\elseBeamer \ifnum2>\c@secnumdepth\elseMore on Blackboard Technique \ifnum2>\c@secnumdepth\elsePowerPoint \ifnum2>\c@secnumdepth\elseTime Management \ifnum2>\c@secnumdepth\elseSeminar Talks Versus Colloquium Talks \ifnum2>\c@secnumdepth\elseThe SmartBoard \ifnum1>\c@secnumdepth\elseYour Vita, Your Grant, Your Job, Your Life \ifnum2>\c@secnumdepth\elseThe Curriculum Vitae \ifnum2>\c@secnumdepth\elseOverstating the Case \ifnum2>\c@secnumdepth\elseTailoring Your Vita \ifnum2>\c@secnumdepth\elseThe Funding Picture \ifnum2>\c@secnumdepth\elsePreparation for Writing a Proposal \ifnum2>\c@secnumdepth\elseYour Credibility \ifnum2>\c@secnumdepth\elsePage Limits \ifnum2>\c@secnumdepth\elseProposals in Math Education \ifnum2>\c@secnumdepth\elseSelf-Evaluation and Dissemination \ifnum2>\c@secnumdepth\elseApplying for a Job \ifnum2>\c@secnumdepth\elseMathJobs \ifnum2>\c@secnumdepth\elseThings to Include in Your Application \ifnum2>\c@secnumdepth\elseThe Job Visit \ifnum2>\c@secnumdepth\elseTeaching Topics \ifnum2>\c@secnumdepth\elseThe Job Offer \ifnum2>\c@secnumdepth\elseJobs in the Private Sector \ifnum2>\c@secnumdepth\elseWriting That Has an Impact \ifnum2>\c@secnumdepth\elseUnusual CVs \ifnum1>\c@secnumdepth\elseElectronic Mail \ifnum2>\c@secnumdepth\elseCommunicating Electronically \ifnum2>\c@secnumdepth\elseThe Nature of Collaboration \ifnum2>\c@secnumdepth\elseEmail Etiquette \ifnum2>\c@secnumdepth\elseImportant Emails \ifnum2>\c@secnumdepth\elseFighting over Email \ifnum2>\c@secnumdepth\elseMore Email Tips \ifnum2>\c@secnumdepth\elseThe Form of an Email \ifnum2>\c@secnumdepth\elseForwarding Email \ifnum2>\c@secnumdepth\elseOther Features of Email \ifnum1>\c@secnumdepth\elseCopyright \ifnum2>\c@secnumdepth\elseProtecting Your Work \ifnum2>\c@secnumdepth\elseYour Writing Is Copyrighted to You \ifnum2>\c@secnumdepth\elseDuration of the Copyright \ifnum2>\c@secnumdepth\elseCreative Commons \ifnum1>\c@secnumdepth\elseIf You Are Not a Native English Speaker \ifnum2>\c@secnumdepth\elseEnglish as the Default Language \ifnum2>\c@secnumdepth\elseHelp with English \ifnum2>\c@secnumdepth\elseGifted Writers Books \ifnum1>\c@secnumdepth\elseWhat Constitutes a Good Book? \ifnum2>\c@secnumdepth\elseWriting a Good Book \ifnum2>\c@secnumdepth\elseHow the Book Unfolds \ifnum2>\c@secnumdepth\elseOrganization \ifnum2>\c@secnumdepth\elseHard Work \ifnum2>\c@secnumdepth\elseAttention to Detail \ifnum1>\c@secnumdepth\elseHow to Plan a Book \ifnum2>\c@secnumdepth\elseFirst Teach a Course \ifnum2>\c@secnumdepth\elseLecture Notes \ifnum2>\c@secnumdepth\elseThe Value of a Collaborator \ifnum2>\c@secnumdepth\elseGlobal Vision \ifnum1>\c@secnumdepth\elseThe Importance of the Preface \ifnum2>\c@secnumdepth\elsePrefatory Remarks \ifnum2>\c@secnumdepth\elseGod Is in the Details \ifnum1>\c@secnumdepth\elseThe Table of Contents \ifnum2>\c@secnumdepth\elseThe Value of the TOC \ifnum2>\c@secnumdepth\elseFormatting the TOC \ifnum1>\c@secnumdepth\elseTechnical Aspects: The Bibliography, the Index, Appendices, etc. \ifnum2>\c@secnumdepth\elseThe Utility of \LaTeX \ifnum2>\c@secnumdepth\elseCreating the Index \ifnum2>\c@secnumdepth\elseUsing the Computer to Make the Index \ifnum2>\c@secnumdepth\elseCreating the Bibliography \ifnum2>\c@secnumdepth\elseAppendices \ifnum1>\c@secnumdepth\elseHow to Manage Your Time When Writing a Book \ifnum2>\c@secnumdepth\elseTime Is on Your Side \ifnum2>\c@secnumdepth\elseTunnel Vision \ifnum2>\c@secnumdepth\elseThe Halmos Spiral Method \ifnum2>\c@secnumdepth\elseRewriting \ifnum2>\c@secnumdepth\elseFinal Details \ifnum1>\c@secnumdepth\elseWhat to Do with the Book Once It Is Written \ifnum2>\c@secnumdepth\elsePutting Your Book Before the Public \ifnum2>\c@secnumdepth\elseSubmitting to a Publisher \ifnum2>\c@secnumdepth\elseWhat the Publisher Needs to Know \ifnum2>\c@secnumdepth\elseReviews of Your Book \ifnum2>\c@secnumdepth\elseEvaluating the Reviews \ifnum2>\c@secnumdepth\elseFinal Revisions \ifnum2>\c@secnumdepth\elseElectronic Aspects of Publishing \ifnum2>\c@secnumdepth\elseElectronic Sticky Notes \ifnum2>\c@secnumdepth\elseHow the Publisher Processes Your Book \ifnum2>\c@secnumdepth\elseThe Burden Is on You \ifnum2>\c@secnumdepth\elseConcerns of the Copy Editor \ifnum2>\c@secnumdepth\elseCosts \ifnum2>\c@secnumdepth\elseThe End of Your Role \ifnum2>\c@secnumdepth\elsePutting the Book to Bed \ifnum2>\c@secnumdepth\elseRepro Copy \ifnum2>\c@secnumdepth\elsePricing of a Book \ifnum2>\c@secnumdepth\elseMarketing Your Book \ifnum2>\c@secnumdepth\elseAuthor Frustrations \ifnum2>\c@secnumdepth\elseAdvertising Your Book \ifnum2>\c@secnumdepth\elseBook Contracts \ifnum2>\c@secnumdepth\elseThe \sl Textbook and Academic Authors Association \ifnum1>\c@secnumdepth\elseRoyalties \ifnum2>\c@secnumdepth\elseCompensation for Your Work \ifnum2>\c@secnumdepth\elseNegotiating the Royalty Rate Writing with a Computer \ifnum1>\c@secnumdepth\elseWriting on a Computer \ifnum2>\c@secnumdepth\elseTechnology and Writing \ifnum2>\c@secnumdepth\elseWriting on a Computer \ifnum2>\c@secnumdepth\elseFinding Files on Your Hard Drive \ifnum2>\c@secnumdepth\elseMultiple Versions of Your Work \ifnum2>\c@secnumdepth\elseText Editors \ifnum2>\c@secnumdepth\elseHandwritten Manuscripts \ifnum2>\c@secnumdepth\elseBackups \ifnum2>\c@secnumdepth\elseUsing the Cloud \ifnum1>\c@secnumdepth\elseWord Processors \ifnum2>\c@secnumdepth\elseProcessing Words \ifnum2>\c@secnumdepth\elseShortcomings of Word Processors \ifnum2>\c@secnumdepth\elseA Word Processor is WYSIWYG \ifnum2>\c@secnumdepth\elseNon-Universality of Word Processors \ifnum1>\c@secnumdepth\elseUsing a Text Editor \ifnum2>\c@secnumdepth\elseWhat Is a Text Editor? \ifnum2>\c@secnumdepth\elseOther Tools \ifnum2>\c@secnumdepth\elseFiles Created on Text Editors \ifnum2>\c@secnumdepth\elseThe Importance of \TeX \ifnum2>\c@secnumdepth\elseVariants of the \TeX Software \ifnum1>\c@secnumdepth\elseSpell-Checkers, Grammar Checkers, and the Like \ifnum2>\c@secnumdepth\elseSpell-Checkers \ifnum2>\c@secnumdepth\elseMisuse of Spell-Checkers \ifnum1>\c@secnumdepth\elseWhat Is \TeX and Why Should You Use It? \ifnum2>\c@secnumdepth\elseThe Revelation that Is \TeX \ifnum2>\c@secnumdepth\else\TeX is Not a Word Processor \ifnum2>\c@secnumdepth\elseTypesetting Ordinary Prose \ifnum2>\c@secnumdepth\elseCompiling a \TeX File \ifnum2>\c@secnumdepth\elseDo Not Use a Word Processor \ifnum2>\c@secnumdepth\else\TeX Preview \ifnum2>\c@secnumdepth\elseGraphics in \TeX \ifnum2>\c@secnumdepth\elseThe Flexibility of \TeX \ifnum2>\c@secnumdepth\elseCreating Graphics \ifnum2>\c@secnumdepth\elseFront Ends for \TeX \ifnum2>\c@secnumdepth\elseDifferent \TeX Outputs \ifnum2>\c@secnumdepth\elseSpivak’s Fonts \ifnum2>\c@secnumdepth\else\LaTeX Macros for Tagging \ifnum2>\c@secnumdepth\elseBooks About \TeX \ifnum2>\c@secnumdepth\else\TeX and the Production Department \ifnum2>\c@secnumdepth\else\TeX Macros \ifnum1>\c@secnumdepth\elseGraphics \ifnum2>\c@secnumdepth\elseCreating Graphics \ifnum2>\c@secnumdepth\elseIdeas of Edward Tufte \ifnum2>\c@secnumdepth\elseSymbol Manipulation Software \ifnum1>\c@secnumdepth\elseThe Internet and Electronic Journals \ifnum2>\c@secnumdepth\elseWhat About Electronic Publishing? \ifnum2>\c@secnumdepth\elseHypertext \ifnum2>\c@secnumdepth\elseElectronic Journals \ifnum2>\c@secnumdepth\elseOpen Access \ifnum2>\c@secnumdepth\elseElectronic-Only Journals \ifnum2>\c@secnumdepth\elseFree Books on the Internet \ifnum1>\c@secnumdepth\elseCollaboration by Email, Uploading, Downloading \ifnum2>\c@secnumdepth\elseEmail Collaboration \ifnum2>\c@secnumdepth\elseDoing Your Work in \TeX \ifnum1>\c@secnumdepth\elseMathematical Collaboration in Today’s World \ifnum2>\c@secnumdepth\elseMathematical Collaboration \ifnum2>\c@secnumdepth\elseDropBox The World of High-Tech Publishing \ifnum2>\c@secnumdepth\elseThe Impact of the Internet on Publishing \ifnum1>\c@secnumdepth\elseMathematics on the Web \ifnum2>\c@secnumdepth\elsePosting Your Work on the Web \ifnum2>\c@secnumdepth\elsePreprint Servers \ifnum2>\c@secnumdepth\elsearXiv \ifnum2>\c@secnumdepth\elsePosting Papers on arXiv \ifnum2>\c@secnumdepth\elseFront for the arXiv \ifnum2>\c@secnumdepth\elseMany Versions of Your Paper \ifnum1>\c@secnumdepth\elseMathSciNet \ifnum2>\c@secnumdepth\elseMathematical Reviews online \ifnum2>\c@secnumdepth\elseMathSciNet and zbMATH \ifnum2>\c@secnumdepth\elseGoogle Scholar \ifnum2>\c@secnumdepth\elseMathematics Indexing Services \ifnum1>\c@secnumdepth\elsePersonal Web Pages \ifnum2>\c@secnumdepth\elseYour Personal Web Page \ifnum2>\c@secnumdepth\elseUsing Word to Create a Web Page \ifnum2>\c@secnumdepth\elseHyperlinks \ifnum1>\c@secnumdepth\elseMathematical Blogs and Related Ideas \ifnum2>\c@secnumdepth\elseBlogs \ifnum2>\c@secnumdepth\elseBlogs, Chat Rooms, and Wikis \ifnum2>\c@secnumdepth\elseHundreds of Collaborators \ifnum2>\c@secnumdepth\elseMathOverFlow \ifnum2>\c@secnumdepth\elsepolymath \ifnum2>\c@secnumdepth\elseMore on Blogs \ifnum2>\c@secnumdepth\elseChat Rooms \ifnum2>\c@secnumdepth\elseThe Wiki page \ifnum2>\c@secnumdepth\elseWikipedia \ifnum2>\c@secnumdepth\elseWikiMath \ifnum1>\c@secnumdepth\elseFacebook, Twitter, Instagram, and the Like \ifnum2>\c@secnumdepth\elseSocial Media \ifnum2>\c@secnumdepth\elseSocial Media and Mathematics \ifnum2>\c@secnumdepth\elseSocial Media and Blogs \ifnum2>\c@secnumdepth\elseVariants of Social Media \ifnum1>\c@secnumdepth\elsePrint-on-Demand Books \ifnum2>\c@secnumdepth\elseInstantly Produced Books \ifnum2>\c@secnumdepth\elseThe Espresso Book Machine \ifnum2>\c@secnumdepth\elseCreateSpace \ifnum2>\c@secnumdepth\elsePrint-on-Demand Publishing Closing Thoughts \ifnum1>\c@secnumdepth\elseWhy Is Writing Important? \ifnum2>\c@secnumdepth\elseThe Case for Good Writing \ifnum2>\c@secnumdepth\elseDo We Know How to Write? Bibliography Index Back Cover