Concepts of Mathematics for Students of Physics and Engineering

CONTENTS
Summary Introduction
Logic and Reasoning
Sets
Logical Sentences and Truth Sets
Numbers
Primes and Factors
Intervals of the Real Line
Relations
Equivalence
Ordering
Mapping
Transformations
Functions
Sequences
Curves, Surfaces, and Regions
Mathematical Spaces
Abstract Algebra
Appendixes
A. Ideas From Various Mathematical Disciplines
B. Divisibility of Integers in Base 10 (Integer10)
C. Implications and Equivalences
D. Conjunctions and Disjunctions
E. Laws and Theorems of Logic
F. Laws and Theorems of Set Algebra
G. Properties of Continuous Functions
H. Definitions and Theorems From Calculus
I. Real-Valued Functions as a Vector Space
J. Logical Puzzles and Paradoxes
K. Basics of Aristotelian Logic
Bibliography