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