A primer of mathematical writing: being a disquisition on having your ideas recorded, typeset, published, read, and appreciated
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2017]
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Ausgabe: | Second edition |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | xx, 243 Seiten |
ISBN: | 9781470436582 |
Internformat
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245 | 1 | 0 | |a A primer of mathematical writing |b being a disquisition on having your ideas recorded, typeset, published, read, and appreciated |c Steven G. Krantz |
250 | |a Second edition | ||
264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2017] | |
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adam_text | Contents
Preface to the Second Edition xv
Preface to the First Edition xvii
1 The Basics 1
1.1 What It Is All About........................................ 2
1.1.1 How to Write and Why to Write........................... 2
1.1.2 The Research Paper...................................... 2
1.2 Who Is My Audience?..................................... 3
1.2.1 Identifying Your Audience............................ 3
1.3 Writing and Thought.......................................... 4
1.3.1 Clear Thinking........................................ 4
1.3.2 Research Mathematics.................................... 4
1.3.3 Various Drafts......................................... 5
1.3.4 Writing as an Enabling Activity........................ 5
1.4 Say What You Mean,
Mean What You Say........................................... 6
1.4.1 Obscure Language ...................................... 6
1.4.2 Linear Versus Nonlinear ................................ 7
1.4.3 Global Issues........................................... 7
1.4.4 Language as a Weapon................................... 8
1.5 Diction ...................................................... 8
1.5.1 Careful Use of Words .................................. 8
1.5.2 Attitude................................................ 8
1.5.3 Corruption of Language.................................. 9
1.5.4 What Is in a Title?.................................. 10
1.5.5 Accuracy in Writing................................ 11
1.5.6 Alliteration........................................... 11
1.5.7 “Hence” and Related Words.............................. 12
1.5.8 Overused and Unnecessary Notation..................... 12
1.5.9 Effective Use of Notation.......................... 13
1.5.10 Words as Objects.................................... 15
1.5.11 Singular Versus Plural.............................. 16
1.5.12 Big Words and Pretension............................. 16
v
VI
CONTENTS
1.5.13 Foreign Words and Phrases.............................. 17
1.5.14 Flippancy and Faddish Prose............................ 17
1.5.15 Pronouns............................................... 18
1.5.16 The Role of English.................................... 19
1.5.17 Acronyms............................................... 20
1.5.18 Jargon................................................. 20
1.6 Proofreading, Reading for Sound and Sense . . ............... 21
1.6.1 Proofreading........................................... 21
1.6.2 Writing with Good Sense............................... 22
1.7 Compound Sentences, Passive Voice............................ 22
1.7.1 Overly Complex Sentences . ............................ 22
1.7.2 Passive Voice.......................................... 24
1.8 Technical Aspects of Writing a Paper......................... 25
1.8.1 Details of Your Draft.................................. 25
1.8.2 Numbering Systems...................................... 25
1.8.3 Use of Paper and Ink .................................. 26
1.8.4 Bibliographic References............................... 27
1.8.5 The Writing Process................................... 27
1.9 More Details of Mathematical Writing......................... 28
1.9.1 Effective Sentence Structure........................... 28
1.9.2 Overuse of Commas...................................... 29
1.9.3 Miscellaneous Stipulations............................. 30
1.10 Essential Rules of Grammar, Syntax, and Usage .............. 30
1.10.1 Introduction .......................................... 30
1.10.2 Rules of Grammar and Syntax............................ 31
1.11 More Rules of Grammar, Syntax, and Usage.................... 45
1.11.1 Introduction .......................................... 45
1.11.2 More Rules of Grammar and Syntax....................... 45
2 Topics Specific to the Writing of Mathematics 57
2.1 How to Organize a Paper...................................... 58
2.1.1 Title, Authors, Abstract, Etc.......................... 58
2.1.2 Organization of the Paper.............................. 60
2.2 How to State a Theorem....................................... 62
2.2.1 Efficient and Elegant Statement of Your Results........ 62
2.2.2 A Better Way to State Your Result...................... 63
2.3 How to Prove a Theorem ...................................... 64
2.3.1 The Proof Is in the Pudding ........................... 64
2.3.2 Technical Stuff in the Back............................ 65
2.3.3 Announce Your Theorems and Proofs...................... 65
2.4 How to State a Definition ................................... 66
2.4.1 Definitions as Fundamental Units....................... 66
2.4.2 Supply Enough Definitions.............................. 67
2.4.3 Terminology Can Unify Ideas............................ 67
2.5 How to Write an Abstract..................................... 68
2.5.1 What Is an Abstract?................................... 68
CONTENTS
vii
2.5.2 What to Include in the Abstract....................... 69
2.6 How to Write a Bibliography.................................... 69
2.6.1 Citing Your References.................................. 69
2.6.2 Formatting Your Bibliography ........................... 70
2.6.3 Different Bibliographic Methodologies................ . 71
2.6.4 Nicknames .............................................. 72
2.6.5 Styles for Citation.................................... 73
2.7 What to Do Once the Paper is Written ........................ 74
2.7.1 What to Do with the Paper............................... 74
2.7.2 Making Progress......................................... 75
2.7.3 Publishing Your Paper................................... 76
2.7.4 Which Are the Best Journals? ........................... 77
2.7.5 Journal Backlog ........................................ 78
2.7.6 Web Submission......................................... 79
2.7.7 Waiting for a Decision.................................. 80
2.7.8 Bringing the Matter to Conclusion....................... 80
2.7.9 Skillful Use of Te*..................................... 81
2.7.10 Galley Proofs........................................... 82
2.8 The Importance of Notation................................... 82
2.8.1 The Use of Notation..................................... 82
2.8.2 New Notation............................................ 83
2.9 A Coda on Collaborative Work................................. 83
2.9.1 Choosing Your Collaborators............................. 83
2.9.2 Respecting Your Collaborator........................... 84
2.9.3 Sticky Wickets.......................................... 84
2.10 Recognition of Good Writing................................. 85
2.11 Closing Thoughts on Effective Mathematical Writing ....... 86
3 Exposition 87
3.1 What Is Exposition?.......................................... 87
3.1.1 Surveys and Other Exposition ......................... 87
3.1.2 The Reader of Exposition................................ 88
3.2 How to Write an Expository Article........................... 89
3.2.1 Authoring Exposition.................................. 89
3.2.2 Elements of a Good Survey . ............................ 89
3.2.3 Cautions Connected to a Survey........................ . 90
3.2.4 The Survey as an Entrée................................. 91
3.3 How to Write an Opinion Piece................................ 91
3.3.1 Formulating Your Opinion................................ 91
3.3.2 Research for an Opinion Piece .......................... 92
3.3.3 Supporting Your Opinion................................. 92
3.3.4 Conclusion of an Opinion Piece......................... 93
3.4 The Spirit of the Preface.................................... 93
3.4.1 Why a Preface?.......................................... 93
3.4.2 Questions that the Preface Answers...................... 94
3.4.3 The Table of Contents................................... 94
viii CONTENTS
3.4.4 An Onerous Task......................................... 94
3.5 How Important Is Exposition? .................................. 95
3.5.1 The Significance of Exposition ......................... 95
3.5.2 Exposition as Teacher................................. 95
4 Other Types of Writing 97
4.1 The Letter of Recommendation ................................. 98
4.1.1 Writing a Letter........................................ 98
4.1.2 Responsibility of the Letter Writer..................... 98
4.1.3 Getting the Job Done.................................... 99
4.1.4 What to Say in the Letter............................... 99
4.1.5 Conclusion of the Letter................................100
4.1.6 Negative Feelings..................................... . 100
4.1.7 The Body of the Letter..................................101
4.1.8 Binary Comparisons......................................101
4.1.9 Other Specifics in the Letter ......................... 103
4.1.10 Travesties in Letters...................................103
4.1.11 Responsibility of the Letter Writer.....................105
4.1.12 The Closing Paragraph ..................................106
4.1.13 Letters Are Not Formulaic...............................106
4.1.14 Enthusiasm in Letters...................................107
4.1.15 Letters for Students....................................107
4.1.16 Declining to Write......................................109
4.1.17 Letters for Your Masters and Doctoral Students .........109
4.1.18 Truth in Letters........................................110
4.1.19 Ability with English....................................110
4.1.20 Thorny Matters..........................................112
4.1.21 Miscellaneous Issues....................................112
4.2 The Book Review...............................................113
4.2.1 How to Review a Book....................................113
4.2.2 Desiderata for a Book Review............................113
4.2.3 Positive and Negative Reviews...........................114
4.2.4 Harsh Book Reviews......................................115
4.3 The Referee’s Report......................................... 116
4.3.1 The Art of Refereeing...................................116
4.3.2 Tailoring Your Report to the Journal....................116
4.3.3 Reviewing a Book......................................117
4.4 The Talk .....................................................117
4.4.1 How to Hold Forth.......................................117
4.4.2 What Not to Do ........................................ 118
4.4.3 Ingredients of a Good Talk..............................118
4.4.4 Time Management.........................................119
4.4.5 How to Finish a Talk....................................119
4.4.6 Types of Talks..........................................120
4.4.7 Talk Checklist .........................................120
4.4.8 The Philosophy of a Talk................................121
CONTENTS ix
4.4.9 How to Present a Proof................................ 122
4.4.10 Entry Points and Exit Points . . ......................122
4.4.11 Prepare............................................... 123
4.4.12 Give Proper Credit.....................................124
4.4.13 Blackboard Technique...................................124
4.4.14 Beamer .............................................. 124
4.4.15 More on Blackboard Technique...........................125
4.4.16 PowerPoint.............................................126
4.4.17 Time Management........................................127
4.4.18 Seminar Talks Versus Colloquium Talks..................127
4.4.19 The SmartBoard.........................................128
4.5 Your Vita, Your Grant, Your Job, Your Life . . .............128
4.5.1 The Curriculum Vitae....................................128
4.5.2 Overstating the Case....................................130
4.5.3 Tailoring Your Vita...................................132
4.5.4 The Funding Picture.....................................132
4.5.5 Preparation for Writing a Proposal . ...................132
4.5.6 Your Credibility...................................... 133
4.5.7 Page Limits.............................................133
4.5.8 Proposals in Math Education.............................134
4.5.9 Self-Evaluation and Dissemination.......................134
4.5.10 Applying for a Job.....................................135
4.5.11 MathJobs...............................................135
4.5.12 Things to Include in Your Application................ 135
4.5.13 The Job Visit......................................... 136
4.5.14 Teaching Topics .......................................137
4.5.15 The Job Offer......................................... 137
4.5.16 Jobs in the Private Sector.............................139
4.5.17 Writing That Has an Impact.............................139
4.5.18 Unusual CVs............................................139
4.6 Electronic Mail.............................................. 140
4.6.1 Communicating Electronically ...........................140
4.6.2 The Nature of Collaboration........................... 140
4.6.3 Email Etiquette ........................................141
4.6.4 Important Emails .......................................142
4.6.5 Fighting over Email.....................................143
4.6.6 More Email Tips.........................................143
4.6.7 The Form of an Email....................................144
4.6.8 Forwarding Email .......................................144
4.6.9 Other Features of Email.................................145
4.7 Copyright.....................................................145
4.7.1 Protecting Your Work....................................145
4.7.2 Your Writing Is Copyrighted to You..................... 146
4.7.3 Duration of the Copyright...............................146
4.7.4 Creative Commons.................................... 146
4.8 If You Are Not a Native English Speaker.......................147
X
CONTENTS
4.8.1 English as the Default Language.........................147
4.8.2 Help with English ......................................147
4.8.3 Gifted Writers..........................................147
5 Books 149
5.1 What Constitutes a Good Book?................................149
5.1.1 Writing a Good Book.....................................149
5.1.2 How the Book Unfolds....................................150
5.1.3 Organization.......................................... 151
5.1.4 Hard Work............................................. 151
5.1.5 Attention to Detail.....................................152
5.2 How to Plan a Book...........................................152
5.2.1 First Teach a Course....................................152
5.2.2 Lecture Notes.......................................... 153
5.2.3 The Value of a Collaborator.............................153
5.2.4 Global Vision...........................................153
5.3 The Importance of the Preface..................................154
5.3.1 Prefatory Remarks.......................................154
5.3.2 God Is in the Details...................................154
5.4 The Table of Contents..........................................154
5.4.1 The Value of the TOC....................................154
5.4.2 Formatting the TOC......................................155
5.5 Technical Aspects: The Bibliography, the Index, Appendices, etc. 155
5.5.1 The Utility of DT^X.....................................155
5.5.2 Creating the Index......................................156
5.5.3 Using the Computer to Make the Index....................156
5.5.4 Creating the Bibliography...............................158
5.5.5 Appendices............................................. 158
5.6 How to Manage Your Time
When Writing a Book............................................158
5.6.1 Time Is on Your Side ...................................158
5.6.2 Tunnel Vision...........................................159
5.6.3 The Halmos Spiral Method................................160
5.6.4 Rewriting...............................................160
5.6.5 Final Details.......................................... 161
5.7 What to Do with the Book Once It Is Written .................161
5.7.1 Putting Your Book Before the Public ....................161
5.7.2 Submitting to a Publisher...............................161
5.7.3 What the Publisher Needs to Know........................162
5.7.4 Reviews of Your Book....................................163
5.7.5 Evaluating the Reviews..................................163
5.7.6 Final Revisions.........................................164
5.7.7 Electronic Aspects of Publishing........................164
5.7.8 Electronic Sticky Notes.................................164
5.7.9 How the Publisher Processes Your Book...................165
5.7.10 The Burden Is on You....................................165
CONTENTS xi
5.7.11 Concerns of the Copy Editor............................165
5.7.12 Costs .....................s...........................166
5.7.13 The End of Your Role . . . / ..........................166
5.7.14 Putting the Book to Bed .............................. 166
5.7.15 Repro Copy.....................,......................166
5.7.16 Pricing of a Book............/........................167
5.7.17 Marketing Your Book................................... 169
5.7.18 Author Frustrations....................................169
5.7.19 Advertising Your Book..................................170
5.7.20 Book Contracts.........................................170
5.7.21 The Textbook and Academic Authors Association .... 171
5.8 Royalties ....................................................171
5.8.1 Compensation for Your Work.............................171
5.8.2 Negotiating the Royalty Rate...........................173
6 Writing with a Computer 175
6.1 Writing on a Computer.........................................175
6.1.1 Technology and Writing.................................175
6.1.2 Writing on a Computer................................. 176
6.1.3 Finding Files on Your Hard Drive ......................177
6.1.4 Multiple Versions of Your Work.........................177
6.1.5 Text Editors ..........................................178
6.1.6 Handwritten Manuscripts ...............................179
6.1.7 Backups................................................179
6.1.8 Using the Cloud........................................180
6.2 Word Processors...............................................181
6.2.1 Processing Words.......................................181
6.2.2 Shortcomings of Word Processors........................182
6.2.3 A Word Processor is WYSIWYG............................183
6.2.4 Non-Universality of Word Processors....................183
6.3 Using a Text Editor...........................................184
6.3.1 What Is a Text Editor?.................................184
6.3.2 Other Tools............................................184
6.3.3 Files Created on Text Editors..........................185
6.3.4 The Importance of 185
6.3.5 Variants of the Software..............................185
6.4 Spell-Checkers, Grammar Checkers, and the Like................186
6.4.1 Spell-Checkers..................................... 186
6.4.2 Misuse of Spell-Checkers ............................ , 187
6.5 What Is IfeX and Why Should You Use It?.......................188
6.5.1 The Revelation that Is T^X.............................188
6.5.2 TgX is Not a Word Processor............................188
6.5.3 Typesetting Ordinary Prose.............................188
6.5.4 Compiling a T£}X File..................................190
6.5.5 Do Not Use a Word Processor........................... 190
6.5.6 TeX Preview............................................190
xii CONTENTS
6.5.7 Graphics in T]gX........................................191
6.5.8 The Flexibility of T^X................................ 191
6.5.9 Creating Graphics......................................—192
6.5.10 Front Ends for T£}X ................................. 192
6.5.11 Different T^X Outputs..................................193
6.5.12 Spivak’s Fonts ........................................194
6.5.13 LM^X Macros for Tagging............................... 194
6.5.14 Books About TeX........................................195
6.5.15 4^X and the Production Department......................195
6.5.16 TeX Macros.............................................195
6.6 Graphics......................................................196
6.6.1 Creating Graphics.......................................196
6.6.2 Ideas of Edward Tufte...................................197
6.6.3 Symbol Manipulation Software............................197
6.7 The Internet and Electronic Journals..........................197
6.7.1 What About Electronic Publishing?.......................197
6.7.2 Hypertext...............................................198
6.7.3 Electronic Journals.....................................198
6.7.4 Open Access.............................................198
6.7.5 Electronic-Only Journals ...............................200
6.7.6 Free Books on the Internet............................. 200
6.8 Collaboration by Email, Uploading, Downloading................201
6.8.1 Email Collaboration.....................................201
6.8.2 Doing Your Work in TeX................................. 201
6.9 Mathematical Collaboration in Today’s World...................202
6.9.1 Mathematical Collaboration..............................202
6.9.2 DropBox.................................................202
7 The World of High-Tech Publishing 205
7.0.1 The Impact of the Internet on Publishing................206
7.1 Mathematics on the Web ..................................... 206
7.1.1 Posting Your Work on the Web........................... 206
7.1.2 Preprint Servers........................................207
7.1.3 arXiv...................................................207
7.1.4 Posting Papers on arXiv ................................209
7.1.5 Front for the arXiv.....................................210
7.1.6 Many Versions of Your Paper............................ 210
7.2 MathSciNet.................................................. 211
7.2.1 Mathematical Reviews online.............................211
7.2.2 MathSciNet and zbMATH...................................212
7.2.3 Google Scholar..........................................212
7.2.4 Mathematics Indexing Services...........................212
7.3 Personal Web Pages............................................214
7.3.1 Your Personal Web Page..................................214
7.3.2 Using Word to Create a Web Page.........................214
7.3.3 Hyperlinks .............................................214
CONTENTS xiii
7.4 Mathematical Blogs and Related Ideas.......................215
7.4.1 Blogs ...............................................215
7.4.2 Blogs, Chat Rooms, and Wikis.........................215
7.4.3 Hundreds of Collaborators............................216
7.4.4 MathOverFlow ........................................216
7.4.5 polymath.............................................216
7.4.6 More on Blogs........................................216
7.4.7 Chat Rooms ........................................ 217
7.4.8 The Wiki page........................................217
7.4.9 Wikipedia ...........................................218
7.4.10 WikiMath............................................218
7.5 Facebook, Twitter, Instagram, and the Like.................219
7.5.1 Social Media.........................................219
7.5.2 Social Media and Mathematics.........................220
7.5.3 Social Media and Blogs............................. 222
7.5.4 Variants of Social Media.............................223
7.6 Print-on-Demand Books......................................223
7.6.1 Instantly Produced Books............................ 223
7.6.2 The Espresso Book Machine............................224
7.6.3 CreateSpace..........................................225
7.6.4 Print-on-Demand Publishing...........................225
8 Closing Thoughts 227
8.1 Why Is Writing Important?..................................227
8.1.1 The Case for Good Writing.......................... 227
8.1.2 Do We Know How to Write?.............................228
Bibliography 229
Index
232
|
any_adam_object | 1 |
author | Krantz, Steven G. 1951- |
author_GND | (DE-588)130535907 |
author_facet | Krantz, Steven G. 1951- |
author_role | aut |
author_sort | Krantz, Steven G. 1951- |
author_variant | s g k sg sgk |
building | Verbundindex |
bvnumber | BV044641458 |
classification_rvk | SB 820 |
classification_tum | KOM 985f KOM 955f |
ctrlnum | (OCoLC)1015846268 (DE-599)BVBBV044641458 |
discipline | Kommunikationswesen Mathematik Wiss. Arbeiten |
edition | Second edition |
format | Book |
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genre | (DE-588)4048476-2 Ratgeber gnd-content |
genre_facet | Ratgeber |
id | DE-604.BV044641458 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:59Z |
institution | BVB |
isbn | 9781470436582 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030039420 |
oclc_num | 1015846268 |
open_access_boolean | |
owner | DE-29T DE-91G DE-BY-TUM DE-83 DE-20 DE-739 |
owner_facet | DE-29T DE-91G DE-BY-TUM DE-83 DE-20 DE-739 |
physical | xx, 243 Seiten |
publishDate | 2017 |
publishDateSearch | 2017 |
publishDateSort | 2017 |
publisher | American Mathematical Society |
record_format | marc |
spelling | Krantz, Steven G. 1951- (DE-588)130535907 aut A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated Steven G. Krantz Second edition Providence, Rhode Island American Mathematical Society [2017] © 2017 xx, 243 Seiten txt rdacontent n rdamedia nc rdacarrier Veröffentlichung (DE-588)4187925-9 gnd rswk-swf Formulierung (DE-588)4155035-3 gnd rswk-swf Wissenschaftliches Manuskript (DE-588)4066596-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Autorschaft (DE-588)4130545-0 gnd rswk-swf (DE-588)4048476-2 Ratgeber gnd-content Mathematik (DE-588)4037944-9 s Autorschaft (DE-588)4130545-0 s DE-604 Veröffentlichung (DE-588)4187925-9 s Wissenschaftliches Manuskript (DE-588)4066596-3 s Formulierung (DE-588)4155035-3 s Erscheint auch als Online-Ausgabe 978-1-4704-4309-2 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030039420&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Krantz, Steven G. 1951- A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated Veröffentlichung (DE-588)4187925-9 gnd Formulierung (DE-588)4155035-3 gnd Wissenschaftliches Manuskript (DE-588)4066596-3 gnd Mathematik (DE-588)4037944-9 gnd Autorschaft (DE-588)4130545-0 gnd |
subject_GND | (DE-588)4187925-9 (DE-588)4155035-3 (DE-588)4066596-3 (DE-588)4037944-9 (DE-588)4130545-0 (DE-588)4048476-2 |
title | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated |
title_auth | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated |
title_exact_search | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated |
title_full | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated Steven G. Krantz |
title_fullStr | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated Steven G. Krantz |
title_full_unstemmed | A primer of mathematical writing being a disquisition on having your ideas recorded, typeset, published, read, and appreciated Steven G. Krantz |
title_short | A primer of mathematical writing |
title_sort | a primer of mathematical writing being a disquisition on having your ideas recorded typeset published read and appreciated |
title_sub | being a disquisition on having your ideas recorded, typeset, published, read, and appreciated |
topic | Veröffentlichung (DE-588)4187925-9 gnd Formulierung (DE-588)4155035-3 gnd Wissenschaftliches Manuskript (DE-588)4066596-3 gnd Mathematik (DE-588)4037944-9 gnd Autorschaft (DE-588)4130545-0 gnd |
topic_facet | Veröffentlichung Formulierung Wissenschaftliches Manuskript Mathematik Autorschaft Ratgeber |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030039420&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT krantzsteveng aprimerofmathematicalwritingbeingadisquisitiononhavingyourideasrecordedtypesetpublishedreadandappreciated |