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How to Write Mathematics

How to Write Mathematics
Author: Norman Earl Steenrod
Publisher: American Mathematical Soc.
Total Pages: 76
Release: 1973-12-31
Genre: Mathematics
ISBN: 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
Total Pages: 132
Release: 1989
Genre: Language Arts & Disciplines
ISBN: 9780883850633

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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
Author: Leonard Gillman
Publisher: American Mathematical Society
Total Pages: 61
Release: 2022-06-23
Genre: Mathematics
ISBN: 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.


Writing Mathematical Papers in English

Writing Mathematical Papers in English
Author: Jerzy Trzeciak
Publisher: European Mathematical Society
Total Pages: 56
Release: 1995
Genre: Authorship
ISBN: 9783037190142

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Handbook of Writing for the Mathematical Sciences

Handbook of Writing for the Mathematical Sciences
Author: Nicholas J. Higham
Publisher: SIAM
Total Pages: 304
Release: 1998-08-01
Genre: Mathematics
ISBN: 0898714206

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


How to Think Like a Mathematician

How to Think Like a Mathematician
Author: Kevin Houston
Publisher: Cambridge University Press
Total Pages: 341
Release: 2009-02-12
Genre: Mathematics
ISBN: 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.


The Simple Math of Writing Well

The Simple Math of Writing Well
Author: Jennie Harrop
Publisher: Pennington ePress
Total Pages:
Release: 2018-01-12
Genre: Language Arts & Disciplines
ISBN: 9780999829219

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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.


Reading, Writing, and Proving

Reading, Writing, and Proving
Author: Ulrich Daepp
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2006-04-18
Genre: Mathematics
ISBN: 0387215603

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This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.


Mathematical Proofs

Mathematical Proofs
Author: Gary Chartrand
Publisher: Pearson Educacion
Total Pages: 400
Release: 2013
Genre: Logic, Symbolic and mathematical
ISBN: 9780321782519

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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.


A Math-Based Writing System for Engineers

A Math-Based Writing System for Engineers
Author: Brad Henderson
Publisher: Springer Nature
Total Pages: 357
Release: 2019-09-30
Genre: Science
ISBN: 3030107566

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This book presents the generative rules for formal written communication, in an engineering context, through the lens of mathematics. Aimed at engineering students headed for careers in industry and professionals needing a “just in time” writing resource, this pragmatic text covers all that engineers need to become successful workplace writers, and leaves out all pedagogical piffle they do not. Organized into three levels of skill-specific instruction, A Math-Based Writing System for Engineers: Sentence Algebra & Document Algorithms guides readers through the process of building accurate, precise sentences to structuring efficient, effective reports. The book’s indexed design provides convenient access for both selective and comprehensive readers, and is ideal for university students; professionals seeking a thorough, “left -brained” treatment of English grammar and “go to” document structures; and ESL engineers at all levels.