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Here are several open source textbooks aimed at an introduction to proofs course. You are welcome to use any of these texts to help you throughout the semester. Each author has their own style of doing things. Find one that you like reading more than the others, then use it.
- Mathematical Reasoning - Writing and Proof, by Ted Sundstrom
- Book of Proof, by Richard Hammack
- A Gentle Introduction to the Art of Mathematics, by Joe Fields
- Proofs and Concepts: The Fundamentals Of Abstract Mathematics, by Dave Witte Morris, Joy Morris
- An Introduction to Proofs and the Mathematical Vernacular, by Martin Day
There are also several texts available in the library that you could use. Some of them have free electronic access.
- Essentials of mathematics introduction to theory, proof, and the professional culture - E-Access Available
- Analysis with an introduction to proof, by Steven Lay - Our course follows this book quite closely.
- How to read and do proofs : an introduction to mathematical thought process
- A friendly introduction to analysis : single and multivariable
- Doing mathematics : an introduction to proofs and problem solving
- Introduction to mathematical proofs : a transition
Tex Programs
\documentclass{article}
\begin{document}
Now I can type math just like on the web.
I can perform integrals such as $\int f(x) dx$.
\end{document}