A survey of mathematics with applications
著者
書誌事項
A survey of mathematics with applications
Pearson Addison Wesley, c2009
Expanded 8th ed.
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注記
Includes indexes
内容説明・目次
内容説明
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 8e.
目次
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
9.3 Perimeter and Area
9.4 Volume and Surface Area
9.5 Transformational Geometry, Symmetry, and Tessellations
9.6 Topology
9.7 Non-Euclidean Geometry and Fractal Geometry
Chapter 10 Mathematical Systems
10.1 Groups
10.2 Finite Mathematical Systems
10.3 Modular Arithmetic
Chapter 11 Consumer Mathematics
11.1 Percent
11.2 Personal Loans and Simple Interest
11.3 Compound Interest
11.4 Installment Buying
11.5 Buying a House with a Mortgage
11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments
Chapter 12 Probability
12.1 The Nature of Probability
12.2 Theoretical Probability
12.3 Odds
12.4 Expected Value (Expectation)
12.5 Tree Diagrams
12.6 Or and And Problems
12.7 Conditional Probability
12.8 The Counting Principle and Permutations
12.9 Combinations
12.10 Solving Probability Problems By Using Combinations
12.11 Binomial Probability
Chapter 13 Statistics
13.1 Sampling Techniques
13.2 The Misuses of Statistics
13.3 Frequency Distributions
13.4 Statistical Graphs
13.5 Measures of Central Tendency
13.6 Measures of Dispersion
13.7 The Normal Curve
13.8 Linear Correlation and Regression
Chapter 14 Graph Theory
14.1 Graphs, Paths, and Circuits
14.2 Euler Paths and Euler Circuits
14.3 Hamilton Paths and Hamilton Circuits
14.4 Trees
Chapter 15 Voting and Apportionment
15.1 Voting Methods
15.2 Flaws of Voting
15.3 Apportionment Methods
15.4 Flaws of the Apportionment Methods
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