(eBook PDF) A TeXas Style Introduction to Proof (Maa Textbooks) – Digital Ebook – Instant Delivery Download

product details:

ISBN-10 ‏ : ‎ 1470450461
ISBN-13 ‏ : ‎ 978-1470450465
Author: Ron Taylor, Patrick X. Rault

A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the bridge course ) that also introduces TeX as a tool students can use to communicate their work. As befitting textless text, the book is, as one reviewer characterized it, minimal. Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.

Introduction
To the instructor
To the student
How to construct those proofs
Using LaTeX to write mathematics
Notation
The journey begins …
Symbolic logic
Statements
Compound statements and logical connectives
Proof via truth table
Implications
Quantifiers
Compound quantifiers
Proof methods
Variable names
Parity and divisibility
Negations
Proof methods
Mathematical induction
Geometric tilings
Induction versus deduction
Strong Induction
Set theory
Notation and definitions
Venn diagrams
General proofs with sets
Set operations
Deeper thinking
Set products
Power sets
Index sets and set operations
Spaciousness
Functions and relations
Relations
Partitions
Order relations
Functions
Throwing some math around
Counting
A (very) brief history of infinity
Finite sets
The Pigeonhole Principle
A foundation for infinity
Can we go beyond infinity?
Axiomatics
LSAT axiomatics
Charles Dodgson’s axiomatic looking-glass
Shiny hidden people
Mathematical writing
Comments on Style
The Structure of a LaTeX Document
A sample LaTeX document
The Preamble
The Text
Formatting text
Typesetting mathematics
LaTeX codes for common mathematical symbols
Tables
Arrays with reasons
Making lists (Checking them twice is a good idea.)
An example of a homework assignment in LaTeX
TeX Source Code for the example

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(eBook PDF) A TeXas Style Introduction to Proof (Maa Textbooks)