How to Write Mathematics

How to Write Mathematics PDF Author: Norman Earl Steenrod
Publisher: American Mathematical Soc.
ISBN: 9780821896785
Category : Mathematics
Languages : en
Pages : 76

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Book Description
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.

How to Write Mathematics

How to Write Mathematics PDF Author: Norman Earl Steenrod
Publisher: American Mathematical Soc.
ISBN: 9780821896785
Category : Mathematics
Languages : en
Pages : 76

Get Book Here

Book Description
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 PDF Author: Donald E. Knuth
Publisher: Cambridge University Press
ISBN: 9780883850633
Category : Language Arts & Disciplines
Languages : en
Pages : 132

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

Writing Mathematics Well

Writing Mathematics Well PDF Author: Leonard Gillman
Publisher: MAA Press
ISBN:
Category : Mathematics
Languages : en
Pages : 72

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Book Description
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.

A Primer of Real Analytic Functions

A Primer of Real Analytic Functions PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 9780817642648
Category : Mathematics
Languages : en
Pages : 260

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Book Description
"This is the second, improved edition of the only existing monograph devoted to real-analytic functions, whose theory is rightly considered in the preface 'the wellspring of mathematical analysis.' Organized in six parts, [with] a very rich bibliography and an index, this book is both a map of the subject and its history. Proceeding from the most elementary to the most advanced aspects, it is useful for both beginners and advanced researchers. —MATHEMATICAL REVIEWS "Bringing together results scattered in various journals or books and presenting them in a clear and systematic manner, the book is of interest first of all for analysts, but also for applied mathematicians and researchers in real algebraic geometry." —ACTA APPLICANDAE MATHEMATICAE

Handbook of Writing for the Mathematical Sciences

Handbook of Writing for the Mathematical Sciences PDF Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898714206
Category : Mathematics
Languages : en
Pages : 304

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Book Description
Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.

Writing Mathematical Papers in English

Writing Mathematical Papers in English PDF Author: Jerzy Trzeciak
Publisher: European Mathematical Society
ISBN: 9783037190142
Category : Authorship
Languages : en
Pages : 56

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Book Description


The Simple Math of Writing Well

The Simple Math of Writing Well PDF Author: Jennie Harrop
Publisher: Pennington ePress
ISBN: 9780999829219
Category : Language Arts & Disciplines
Languages : en
Pages :

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Book Description
Writing guides abound, but The Simple Math of Writing Well is one of a kind. Readers will find its practical approach affirming, encouraging, and informative, and its focus on the basics of linguistic structure releases 21st-century writers to embrace the variety of mediums that define our internet-connected world. As Harrop reminds us in the opening chapters of her book, we write more today than ever before in history: texts, emails, letters, blogs, reports, social media posts, proposals, etc. The Simple Math of Writing Well is the first guide that directly addresses the importance of writing well in the Google age.

How to Think Like a Mathematician

How to Think Like a Mathematician PDF Author: Kevin Houston
Publisher: Cambridge University Press
ISBN: 1139477056
Category : Mathematics
Languages : en
Pages : 341

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Book Description
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 to Learn Mathematics

Writing to Learn Mathematics PDF Author: Joan Countryman
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 116

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Book Description
Explains how writing can be integrated into primary and secondary mathematics, and suggests topics and methods, including journals, learning logs, and letters.

Mathematical Writing

Mathematical Writing PDF Author: Franco Vivaldi
Publisher: Springer
ISBN: 1447165276
Category : Mathematics
Languages : en
Pages : 213

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Book Description
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.