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This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world of A Survey of Mathematics with Applications, Expanded.
Chapter 1 Critical Thinking Skills 1.1 Inductive Reasoning 1.2 Estimation 1.3 Problem Solving
Chapter 2 Sets 2.1 Set Concepts 2.2 Subsets 2.3 Venn Diagrams and Set Operations 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 2.5 Application of Sets 2.6 Infinite Sets
Chapter 3 Logic 3.1 Statements and Logical Connectives 3.2 Truth Tables for Negation, Conjunction, and Disjunction 3.3 Truth Tables for the Conditional and Biconditional 3.4 Equivalent Statements 3.5 Symbolic Arguments 3.6 Euler Diagrams and Syllogistic Arguments 3.7 Switching Circuits
Chapter 4 Systems of Numeration 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 4.2 Place-Value or Positional-Value Numeration Systems 4.3 Other Bases 4.4 Computation in Other Bases 4.5 Early Computational Methods
Chapter 5 Number Theory and the Real Number System 5.1 Number Theory 5.2 The Integers 5.3 The Rational Numbers 5.4 The Irrational Numbers and the Real Number System 5.5 Real Numbers and Their Properties 5.6 Rules of Exponents and Scientific Notation 5.7 Arithmetic and Geometric Sequences 5.8 Fibonacci Sequence
Chapter 6 Algebra, Graphs, and Functions 6.1 Order of Operations 6.2 Linear Equations In One Variable 6.3 Formulas 6.4 Applications of Linear Equations In One Variable 6.5 Variation 6.6 Linear Inequalities 6.7 Graphing Linear Equations 6.8 Linear Inequalities In Two Variables 6.9 Solving Quadratic Equations by Using Factoring and By Using the Quadratic Formula 6.10 Functions and Their Graphs
Chapter 7 Systems of Linear Equations and Inequalities 7.1 Systems of Linear Equations 7.2 Solving Systems of Linear Equations By the Substitution and Addition Methods 7.3 Matrices 7.4 Solving Systems of Linear Equations by Using Matrices 7.5 Systems of Linear Inequalities 7.6 Linear Programming
Chapter 8 The Metric System 8.1 Basic Terms and Conversions Within The Metric System 8.2 Length, Area, and Volume 8.3 Mass and Temperature 8.4 Dimensional Analysis and Conversions To and From the Metric System
Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles 9.2 Polygons
This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world of A Survey of Mathematics with Applications, Expanded.
Table of Contents
Chapter 1 Critical Thinking Skills 1.1 Inductive Reasoning 1.2 Estimation 1.3 Problem Solving
Chapter 2 Sets 2.1 Set Concepts 2.2 Subsets 2.3 Venn Diagrams and Set Operations 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 2.5 Application of Sets 2.6 Infinite Sets
Chapter 3 Logic 3.1 Statements and Logical Connectives 3.2 Truth Tables for Negation, Conjunction, and Disjunction 3.3 Truth Tables for the Conditional and Biconditional 3.4 Equivalent Statements 3.5 Symbolic Arguments 3.6 Euler Diagrams and Syllogistic Arguments 3.7 Switching Circuits
Chapter 4 Systems of Numeration 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 4.2 Place-Value or Positional-Value Numeration Systems 4.3 Other Bases 4.4 Computation in Other Bases 4.5 Early Computational Methods
Chapter 5 Number Theory and the Real Number System 5.1 Number Theory 5.2 The Integers 5.3 The Rational Numbers 5.4 The Irrational Numbers and the Real Number System 5.5 Real Numbers and Their Properties 5.6 Rules of Exponents and Scientific Notation 5.7 Arithmetic and Geometric Sequences 5.8 Fibonacci Sequence
Chapter 6 Algebra, Graphs, and Functions 6.1 Order of Operations 6.2 Linear Equations In One Variable 6.3 Formulas 6.4 Applications of Linear Equations In One Variable 6.5 Variation 6.6 Linear Inequalities 6.7 Graphing Linear Equations 6.8 Linear Inequalities In Two Variables 6.9 Solving Quadratic Equations by Using Factoring and By Using the Quadratic Formula 6.10 Functions and Their Graphs
Chapter 7 Systems of Linear Equations and Inequalities 7.1 Systems of Linear Equations 7.2 Solving Systems of Linear Equations By the Substitution and Addition Methods 7.3 Matrices 7.4 Solving Systems of Linear Equations by Using Matrices 7.5 Systems of Linear Inequalities 7.6 Linear Programming
Chapter 8 The Metric System 8.1 Basic Terms and Conversions Within The Metric System 8.2 Length, Area, and Volume 8.3 Mass and Temperature 8.4 Dimensional Analysis and Conversions To and From the Metric System
Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles 9.2 Polygons