How to Write Mathematics

How to Write Mathematics

Author: Norman Earl Steenrod

Publisher: American Mathematical Soc.

Published: 1973-12-31

Total Pages: 76

ISBN-13: 9780821896785

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This classic guide contains four essays on writing mathematical books and papers at the research level and at the level of graduate texts. The authors are all well known for their writing skills, as well as their mathematical accomplishments. The first essay, by Steenrod, discusses writing books, either monographs or textbooks. He gives both general and specific advice, getting into such details as the need for a good introduction. The longest essay is by Halmos, and contains many of the pieces of his advice that are repeated even today: In order to say something well you must have something to say; write for someone; think about the alphabet. Halmos's advice is systematic and practical. Schiffer addresses the issue by examining four types of mathematical writing: research paper, monograph, survey, and textbook, and gives advice for each form of exposition. Dieudonne's contribution is mostly a commentary on the earlier essays, with clear statements of where he disagrees with his coauthors. The advice in this small book will be useful to mathematicians at all levels.


Mathematical Writing

Mathematical Writing

Author: Donald E. Knuth

Publisher: Cambridge University Press

Published: 1989

Total Pages: 132

ISBN-13: 9780883850633

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This book will help those wishing to teach a course in technical writing, or who wish to write themselves.


Write for Mathematics

Write for Mathematics

Author: Andrew Rothstein

Publisher: Corwin Press

Published: 2006-08-18

Total Pages: 297

ISBN-13: 1452292876

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Addressing NCTM standards, this second edition offers a wide range of practical writing strategies to help students deepen their understanding of mathematical concepts and theories.


Writing Mathematics Well

Writing Mathematics Well

Author: Leonard Gillman

Publisher: American Mathematical Society

Published: 2022-06-23

Total Pages: 61

ISBN-13: 1470469804

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Good writing conveys more than the author originally had in mind, while poor writing conveys less. Well written papers are more quickly accepted and put into print and more widely read and appreciated than poorly written ones—and for notes, monographs, and books the quality of writing is of more importance that it is for papers. In Writing Mathematics Well, Leonard Gillman tells his readers how to develop a clear and effective style. All aspects of mathematical writing are covered, from general organization and choice of title, to the presentation of results, to fine points on using words and symbols, to revision, and, finally, to the mechanics of putting your manuscript into print. No book can by itself make you a better writer, but this one will alert you to the opportunities for better and more forceful writing. It does this both by precept and by example. This is no bland collection of rules, but a lively guide in the style of Strunk and White or Fowler—a book to be read for its sharpness and wit as well as for enlightenment. Writing Mathematics Well should be on the shelf of anyone who writes or intends to write mathematics. It will amuse and delight the already careful writer and it will help reform and refine the sensibilities of those who may be somewhat careless about their writing.


Reading and Writing the World with Mathematics

Reading and Writing the World with Mathematics

Author: Eric Gutstein

Publisher: Routledge

Published: 2012-09-10

Total Pages: 274

ISBN-13: 1136284656

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Mathematics education in the United States can reproduce social inequalities whether schools use either "basic-skills" curricula to prepare mainly low-income students of color for low-skilled service jobs or "standards-based" curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.


Mathematical Writing

Mathematical Writing

Author: Franco Vivaldi

Publisher: Springer

Published: 2014-11-04

Total Pages: 213

ISBN-13: 1447165276

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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, reports, exams, and dissertations.


Mathematical Proofs

Mathematical Proofs

Author: Gary Chartrand

Publisher: Pearson

Published: 2013

Total Pages: 0

ISBN-13: 9780321797094

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This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.


How to Think Like a Mathematician

How to Think Like a Mathematician

Author: Kevin Houston

Publisher: Cambridge University Press

Published: 2009-02-12

Total Pages: 341

ISBN-13: 1139477056

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Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.


Writing in Math Class

Writing in Math Class

Author: Marilyn Burns

Publisher: Math Solutions

Published: 1995

Total Pages: 210

ISBN-13: 0941355136

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Writing in Math Class presents a clear and persuasive case for making writing a part of math instruction. Author and master teacher Marilyn Burns explains why students should write in math class, describes five different types of writing assignments for math, and offer tips and suggestions for teachers. In her usual engaging style, Marilyn Burns tells what happened in actual classrooms when writing was incorporated into math lessons. Illustrated throughout with student work. With a foreword by Susan Ohanian.