A Transition to Abstract Mathematics: Mathematical Thinking and Writing (Hardcover, 2)

Notation and Assumptions

Section I: Foundations of Logic and Proof Writing Ch 1. Logic
Ch 1. Language and Mathematics
Ch 2. Properties of Real Numbers
Ch 3. Sets and Their Properties
Ch 4. Functions

Section II: Basic Principles of Analysis
Ch 5. The Real Numbers
Ch 6. Sequences of Real Numbers
Ch 7. Functions of a Real Variable

Section III: Basic Principles of Algebra
Ch 6. Groups
Ch 7. Rings

Index