
Book Details1997; 223 ppMSC: Primary 00; Secondary 01
Now available in Second Edition: MBK/112
This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. In many ways, this text complements Krantz's previous bestseller, How to Teach Mathematics. Those who are familiar with Krantz's writing will recognize his lively, inimitable style.
In this volume, he addresses these nutsandbolts issues:
 Syntax, grammar, structure, and style
 Mathematical exposition
 Use of the computer and TeX
 Email etiquette
 All aspects of publishing a journal article
Krantz's frank and straightforward approach makes this book particularly suitable as a textbook. He does not avoid difficult topics. His intent is to demonstrate to the reader how to successfully operate within the profession. He outlines how to write grant proposals that are persuasive and compelling, how to write a letter of recommendation describing the research abilities of a candidate for promotion or tenure, and what a dean is looking for in a letter of recommendation. He further addresses some basic issues such as writing a book proposal to a publisher or applying for a job. Readers will find in reading this text that Krantz has produced a quality work which makes evident the power and significance of writing in the mathematics profession.
ReadershipAdvanced high school, undergraduate, and graduate students in technical fields; professional mathematicians, physicists, engineers, chemists, biologists, and computer scientists.

Table of Contents

Cover

Title

Copyright

Table of Contents

Preface

CHAPTER 1: The Basics

1.1 What It Is All About

1.2 Who Is My Audience?

1.3 Writing and Thought

1.4 Say What You Mean; Mean What You Say

1.5 Proofreading, Reading for Sound, Reading for Sense

1.6 Compound Sentences, Passive Voice

1.7 Technical Aspects of Writing a Paper

1.8 More Specifics of Mathematical Writing

1.9 Pretension and Lack of Pretension

1.10 We vs. I vs. One

1.11 Essential Rules of Grammar, Syntax, and Usage

1.12 More Rules of Grammar, Syntax, and Usage

CHAPTER 2: Topics Specific to the Writing of Mathematics

2.1 How to Organize a Paper

2.2 How to State a Theorem

2.3 How to Prove a Theorem

2.4 How to State a Definition

2.5 How to Write an Abstract

2.6 How to Write a Bibliography

2.7 What to Do with the Paper Once It Is Written

2.8 A Coda on Collaborative Work

CHAPTER 3: Exposition

3.1 What Is Exposition?

3.2 How to Write an Expository Article

3.3 How to Write an Opinion Piece

3.4 The Spirit of the Preface

3.5 How Important Is Exposition?

CHAPTER 4: Other Types of Writing

4.1 The Letter of Recommendation

4.2 The Book Review

4.3 The Referee's Report

4.4 The Talk

4.5 Your Vita, Your Grant, Your Job, Your Life

4.6 Electronic Mail

CHAPTER 5: Books

5.1 What Constitutes a Good Book?

5.2 How to Plan a Book

5.3 The Importance of the Preface

5.4 The Table of Contents

5.5 Technical Aspects: The Bibliography, the Index, Appendices, etc.

5.6 How to Manage Your Time When Writing a Book

5.7 What to Do with the Book Once It Is Written

CHAPTER 6: The Modern Writing Environment

6.1 Writing on a Computer

6.2 Word Processors

6.3 Using a Text Editor

6.4 SpellCheckers, Grammar Checkers, and the Like

6.5 What Is TEX and Why Should You Use It?

6.6 Other Document Preparation Systems

6.7 Graphics

6.8 The Internet and hypertext

6.9 Collaboration by eMail; Uploading and Downloading

CHAPTER 7: Closing Thoughts

7.1 Why Is Writing Important?

BIBLIOGRAPHY

INDEX

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

Back Cover


Reviews

This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. Krantz's frank and straightforward approach makes this particularly suitable as a textbook. He does not avoid difficult topics.
Zentralblatt für Didaktik der Mathematik 
Krantz provides brief but helpful advice on writing a survey article, an opinion piece, a letter of recommendation, a book review, a referee's report, a talk, a grant application, a curriculum vitae, a job application, and email. He concludes his book with a chapter called 'The modern writing environment' which discusses the use of computers, TeX, spell checkers, etc. Krantz's book is lively, entertaining and provides many amusing anecdotes ... [an] excellent and worthy candidate for a statistician's library ... more useful on your personal bookshelf than in a shared library, so it can be consulted regularly.
Australian and New Zealand Journal of Statistics 
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 upperdivision 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 
[Krantz has] expanded and elaborated the material in Halmos's article [1970] and added discussions of the uses of computer technology in mathematical writing ... enjoyable to read ... worth having on your bookshelf ... written in a very personal style that is meant to engage the reader in a lively conversation ... In addition, he has a chapter on how to write a book and sections on other sorts of professional prose such as referee's reports and letters of recommendation. In keeping with his general approach, he also has more to say about the psychological and sociological aspect of mathematical communication ...
American Mathematical Monthly 
[The book] provides a compact set of questions to consider before undertaking the writing process, questions particularly well suited for mathematical exposition. In addition to being of value to faculty interested in thinking about what they write, A Primer of Mathematical Writing would make an excellent gift for a graduate student or junior colleague.
Journal of the American Statistical Association


RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Reviews
 Requests
Now available in Second Edition: MBK/112
This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. In many ways, this text complements Krantz's previous bestseller, How to Teach Mathematics. Those who are familiar with Krantz's writing will recognize his lively, inimitable style.
In this volume, he addresses these nutsandbolts issues:
 Syntax, grammar, structure, and style
 Mathematical exposition
 Use of the computer and TeX
 Email etiquette
 All aspects of publishing a journal article
Krantz's frank and straightforward approach makes this book particularly suitable as a textbook. He does not avoid difficult topics. His intent is to demonstrate to the reader how to successfully operate within the profession. He outlines how to write grant proposals that are persuasive and compelling, how to write a letter of recommendation describing the research abilities of a candidate for promotion or tenure, and what a dean is looking for in a letter of recommendation. He further addresses some basic issues such as writing a book proposal to a publisher or applying for a job. Readers will find in reading this text that Krantz has produced a quality work which makes evident the power and significance of writing in the mathematics profession.
Advanced high school, undergraduate, and graduate students in technical fields; professional mathematicians, physicists, engineers, chemists, biologists, and computer scientists.

Cover

Title

Copyright

Table of Contents

Preface

CHAPTER 1: The Basics

1.1 What It Is All About

1.2 Who Is My Audience?

1.3 Writing and Thought

1.4 Say What You Mean; Mean What You Say

1.5 Proofreading, Reading for Sound, Reading for Sense

1.6 Compound Sentences, Passive Voice

1.7 Technical Aspects of Writing a Paper

1.8 More Specifics of Mathematical Writing

1.9 Pretension and Lack of Pretension

1.10 We vs. I vs. One

1.11 Essential Rules of Grammar, Syntax, and Usage

1.12 More Rules of Grammar, Syntax, and Usage

CHAPTER 2: Topics Specific to the Writing of Mathematics

2.1 How to Organize a Paper

2.2 How to State a Theorem

2.3 How to Prove a Theorem

2.4 How to State a Definition

2.5 How to Write an Abstract

2.6 How to Write a Bibliography

2.7 What to Do with the Paper Once It Is Written

2.8 A Coda on Collaborative Work

CHAPTER 3: Exposition

3.1 What Is Exposition?

3.2 How to Write an Expository Article

3.3 How to Write an Opinion Piece

3.4 The Spirit of the Preface

3.5 How Important Is Exposition?

CHAPTER 4: Other Types of Writing

4.1 The Letter of Recommendation

4.2 The Book Review

4.3 The Referee's Report

4.4 The Talk

4.5 Your Vita, Your Grant, Your Job, Your Life

4.6 Electronic Mail

CHAPTER 5: Books

5.1 What Constitutes a Good Book?

5.2 How to Plan a Book

5.3 The Importance of the Preface

5.4 The Table of Contents

5.5 Technical Aspects: The Bibliography, the Index, Appendices, etc.

5.6 How to Manage Your Time When Writing a Book

5.7 What to Do with the Book Once It Is Written

CHAPTER 6: The Modern Writing Environment

6.1 Writing on a Computer

6.2 Word Processors

6.3 Using a Text Editor

6.4 SpellCheckers, Grammar Checkers, and the Like

6.5 What Is TEX and Why Should You Use It?

6.6 Other Document Preparation Systems

6.7 Graphics

6.8 The Internet and hypertext

6.9 Collaboration by eMail; Uploading and Downloading

CHAPTER 7: Closing Thoughts

7.1 Why Is Writing Important?

BIBLIOGRAPHY

INDEX

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

Back Cover

This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. Krantz's frank and straightforward approach makes this particularly suitable as a textbook. He does not avoid difficult topics.
Zentralblatt für Didaktik der Mathematik 
Krantz provides brief but helpful advice on writing a survey article, an opinion piece, a letter of recommendation, a book review, a referee's report, a talk, a grant application, a curriculum vitae, a job application, and email. He concludes his book with a chapter called 'The modern writing environment' which discusses the use of computers, TeX, spell checkers, etc. Krantz's book is lively, entertaining and provides many amusing anecdotes ... [an] excellent and worthy candidate for a statistician's library ... more useful on your personal bookshelf than in a shared library, so it can be consulted regularly.
Australian and New Zealand Journal of Statistics 
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 upperdivision 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 
[Krantz has] expanded and elaborated the material in Halmos's article [1970] and added discussions of the uses of computer technology in mathematical writing ... enjoyable to read ... worth having on your bookshelf ... written in a very personal style that is meant to engage the reader in a lively conversation ... In addition, he has a chapter on how to write a book and sections on other sorts of professional prose such as referee's reports and letters of recommendation. In keeping with his general approach, he also has more to say about the psychological and sociological aspect of mathematical communication ...
American Mathematical Monthly 
[The book] provides a compact set of questions to consider before undertaking the writing process, questions particularly well suited for mathematical exposition. In addition to being of value to faculty interested in thinking about what they write, A Primer of Mathematical Writing would make an excellent gift for a graduate student or junior colleague.
Journal of the American Statistical Association