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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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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Paperback
109 pages · 6 × 9 inches
A printed copy to keep beside your notes and problem sets.
View Paperback on Amazon- 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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