St. Lawrence University

Mathematics, Compuer Science & Statistics

Katri A. Nattie
Advisor: Dr. Jim DeFranza
Honor Theses Spring 2005

"LATEX and Writing Mathematics"

Introduction:
This manual has been written to explain the use of the program called Latex, and describe how mathematical arguments are clearly written. The audience to which this document is directed is students currently enrolled in Mathematics 280: Bridge to Higher Mathematics. The reason for choosing this particular audience and the content of this document will be described in this chapater.

 

Contents:
1. Introduction to Writing Mathematics
1.1
Introduction
1.2 Rationale
1.3 Practical Implications
1.4 A Writing Checklist
1.5 Final Advice on Writing Math

2. Latex Basics
2.1
Introductions
2.2 Downloading Latex
2.3 Installing Latex
2.3.1 Testing the Installation
2.4 Creating a New Document
2.5 Compiling a Document
2.5.1 Creating PDF Files
2.6 Understanding Your Files
2.7 Plain Text, Math Text, and Symbols
2.7.1 Text Mode2.7.2 Math Mode
2.7.3 Special Characters and Symbols
2.7.4 Using Comments
2.8 Environments
2.9 Tables and Arrays
2.10 Sized to Fit
2.10.1 Making Things Grow
2.10.2 Changing Text Size
2.11 Extra Space
2.12 Applying the Basics

3. Advanced Latex
3.1
Introduction
3.2 Major Documents
3.2.1 Introductory Elements
3.2.2 Chapers, Sections, Subsections, and Subsubsections
3.2.3 Bibliography
3.3 Appendices
3.4
Mini Pages
3.5 Writing New Commands
3.6 Sample Master Document

4. Writing Proofs
4.1
Introduction
4.2 Techniques of Problems Solving
4.3 Direct Proofs
4.4 Contrapostitive Proofs
4.5 Proofs by Contradiction
4.6 Mathematical Induction

5. Using Graphics
5.1
Introduction
5.2 Creating Graphs Using Maple
5.2.1 Maple Basics
5.2.2 AN EXample
5.3 Converting Maple Files
5.3.1 Exporting Graphs to Adobe Illustrator
5.3.2 Adapting the Appearance
5.4
Including Graphics in Latex
5.5
Placing Labels on Graphics

6. ProjectAnalysis
6.1
Why Write This Document?
6.2 Latex Workshop
6.3 Latex vs. Scientific Notebook
6.4 Application to OTher Courses

Latex Symbols

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Updated: 8/19/05
Math, CS, & Stats. Department
St. Lawrence University