How to Write Mathematics

How to Write Mathematics

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  • Author: Norman Earl Steenrod
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821896785
  • Category : Mathematics
  • Languages : en
  • Pages : 76

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

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

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


How to Write what You Want to Say ... in Mathematics

How to Write what You Want to Say ... in Mathematics

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  • Author: Lyn Carter
  • Publisher:
  • ISBN: 9781925522556
  • Category : Communication in mathematics
  • Languages : en
  • Pages :


The Simple Math of Writing Well

The Simple Math of Writing Well

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  • Author: Jennie Harrop
  • Publisher: Pennington ePress
  • ISBN: 9780999829219
  • Category : Language Arts & Disciplines
  • Languages : en
  • Pages :

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.


What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences

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  • Author: Barry Cipra
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821890431
  • Category : Science
  • Languages : en
  • Pages : 108

Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.


Writing Mathematical Papers in English

Writing Mathematical Papers in English

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  • Author: Jerzy Trzeciak
  • Publisher: European Mathematical Society
  • ISBN: 9783037190142
  • Category : Authorship
  • Languages : en
  • Pages : 56


Mathematics for Human Flourishing

Mathematics for Human Flourishing

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  • Author: Francis Su
  • Publisher: Yale University Press
  • ISBN: 0300237138
  • Category : Mathematics
  • Languages : en
  • Pages : 287

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.


How I Wish I'd Taught Maths

How I Wish I'd Taught Maths

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  • Author: Craig Barton
  • Publisher:
  • ISBN: 9781943920587
  • Category : Effective teaching
  • Languages : en
  • Pages : 451

Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.


A Spiral Workbook for Discrete Mathematics

A Spiral Workbook for Discrete Mathematics

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  • Author: Harris Kwong
  • Publisher: Open SUNY Textbooks
  • ISBN: 9781942341161
  • Category : Mathematics
  • Languages : en
  • Pages : 298

A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.


A Primer of Real Analytic Functions

A Primer of Real Analytic Functions

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  • Author: KRANTZ
  • Publisher: Birkhäuser
  • ISBN: 3034876440
  • Category : Science
  • Languages : en
  • Pages : 190

The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.