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How to Write Mathematics

A solved problem still needs a readable argument. How to Write Mathematics shows you how to turn scratch work into proofs, problem-set solutions and mathematical papers that a reader can follow and check.

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How to Write Mathematics: Proofs, Papers, and Problem Sets for Students by Gaurav Tiwari
By Gaurav Tiwari

This book teaches the skill your courses grade but never teach. Sentence by sentence and proof by proof, it shows exactly where write-ups leak marks, and how to seal every leak, from Tuesday’s problem set to your first paper and thesis.

Worked proof makeovers show how to repair an argument line by line. The checklists and templates help you revise a finished solution before you submit it.

What You’ll Learn

The six proof shapes, as fill-in writing templates

Eight complete proof makeovers: broken write-ups rebuilt and annotated

Full-marks problem sets and honest partial credit, from the grader’s side

A 20-point proof-writing checklist and 40 common errors, catalogued

Ready skeletons for problem sets, papers, and theses

Table of Contents

The Amazon edition covers proof writing, problem sets and mathematical papers across 5 parts. The reference chapters include a proof-writing checklist, common errors and reusable templates.

The Reader Is Always Right

  • Why Good Mathematicians Write Badly
  • The Grammar of Mathematics
  • Definitions, Statements, and the Anatomy of a Theorem

Proofs

  • The Shape of a Proof
  • From Scratch Work to Final Draft
  • Proof Style
  • Proof Makeovers

Problem Sets and Exams

  • Solutions That Earn Full Marks
  • The Homework System

Papers, Reports, and Theses

  • The Architecture of a Mathematical Paper
  • Introductions, Abstracts, and Motivation
  • Notation, Figures, and Examples
  • References and Citation
  • Revision: Where Writing Actually Happens

Toolkit

  • Say It in Words
  • The Proof-Writing Checklist
  • Forty Common Errors
  • Templates
  • Further Reading

Choose Your Edition

Choose Kindle for digital reading or paperback for a printed copy. Each link opens the relevant Amazon store for your location: Amazon.in in India and Amazon.com elsewhere. Check availability and delivery on Amazon before ordering.

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Kindle Edition

Digital edition

Read through Kindle on your preferred device.

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Paperback

109 pages · 6 × 9 inches

A printed copy to keep beside your notes and problem sets.

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Title
How to Write Mathematics
Subtitle
Proofs, Papers, and Problem Sets for Students
Author
Gaurav Tiwari
Publisher
Gaurav Tiwari Publications
Formats
Kindle and paperback
Language
English

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