Foundations of Modern Mathematics"The primary objective of this book is to build the mathematical foundation needed for future courses in mathematics. Among these might be listed: linear algebra, modern algebra, probability, calculus, and elementary function theory. The level of material is elementary, although some previous high school algebra and geometry is assumed"--Page 4 of cover. |
Contents
CHAPTER ONE THE MATHEMATICS LANGUAGE | 1 |
CHAPTER TWO THE CALCULUS OF STATEMENTS | 11 |
13 | 36 |
Copyright | |
8 other sections not shown
Common terms and phrases
3-space a₁ addition algebraic numbers Axiom axis b₁ b₂ binary system called Cantor array cardinal number cartesian plane compound statements cone coordinates correspondence countable infinite set countable set cross product Dandelin sphere decimal system defined definition determinant of order disjunction distance distributive law dot product dozen system ellipse equivalent example F F F Find the equation finite set function hives hyperbola identity element infinite set integers inverse line segment m-class matrix natural numbers non-euclidean noncountable number interval obtain open statement operation ordered pairs ordinary multiplication P₂ parabola parallel parallelogram perpendicular point of intersection polynomial positive rational numbers PROBLEM SET proof properties Prove reader real numbers rudimentary algebras scalar Section set of ordered slicing plane slope solution set subsets system of numeration tangent theorem triangle truth table truth value unit circle verb symbol vertex vertical y₁ zero