Survey of Mathematics with Applications, A

by Angel, Allen R.; Abbott, Christine D.; Runde, Dennis C.

• ISBN13: 9780321112507
• ISBN10: 0321112504
• Edition: 7th
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Addison Wesley

Summary

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.""

Table of Contents

Critical Thinking Skills	1	(40)
Inductive Reasoning	2	(6)
Estimation	8	(11)
Problem Solving	19	(22)
Summary	35	(1)
Review Exercises	35	(3)
Test	38	(1)
Group Projects	39	(2)
Sets	41	(51)
Set Concepts	42	(8)
Subsets	50	(6)
Venn Diagrams and Set Operations	56	(10)
Venn Diagrams with Three Sets and Verification of Equality of Sets	66	(10)
Applications of Sets	76	(7)
Infinite Sets	83	(9)
Summary	87	(1)
Review Exercises	87	(3)
Test	90	(1)
Group Projects	91	(1)
Logic	92	(74)
Statements and Logical Connectives	93	(13)
Truth Tables for Negation, Conjunction, and Disjunction	106	(12)
Truth Tables for the Conditional and Biconditional	118	(10)
Equivalent Statements	128	(14)
Symbolic Arguments	142	(11)
Euler Diagrams and Syllogistic Arguments	153	(13)
Summary	160	(1)
Review Exercises	161	(2)
Test	163	(1)
Group Projects	164	(2)
Systems of Numeration	166	(41)
Additive, Multiplicative, and Ciphered Systems of Numeration	167	(8)
Place-Value or Positional-Value Numeration Systems	175	(6)
Other Bases	181	(7)
Computation in Other Bases	188	(10)
Early Computational Methods	198	(9)
Summary	203	(1)
Review Exercises	203	(1)
Test	204	(1)
Group Projects	205	(2)
Number Theory and the Real Number System	207	(80)
Number Theory	208	(11)
The Integers	219	(9)
The Rational Numbers	228	(14)
The Irrational Numbers and the Real Number System	242	(7)
Real Numbers and Their Properties	249	(7)
Rules of Exponents and Scientific Notation	256	(12)
Arithmetic and Geometric Sequences	268	(7)
Fibonacci Sequence	275	(12)
Summary	282	(1)
Review Exercises	283	(2)
Test	285	(1)
Group Projects	286	(1)
Algebra, Graphs, and Functions	287	(95)
Order of Operations	288	(4)
Linear Equations in One Variable	292	(12)
Formulas	304	(9)
Applications of Linear Equations in One Variable	313	(7)
Variation	320	(8)
Linear Inequalities	328	(7)
Graphing Linear Equations	335	(13)
Linear Inequalities in Two Variables	348	(2)
Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula	350	(11)
Functions and Their Graphs	361	(21)
Summary	376	(1)
Review Exercises	376	(4)
Test	380	(1)
Group Projects	381	(1)
Systems of Linear Equations and Inequalities	382	(49)
Systems of Linear Equations	383	(8)
Solving Systems of Equations by the Substitution and Addition Methods	391	(11)
Matrices	402	(10)
Solving Systems of Equations by Using Matrices	412	(6)
Systems of Linear Inequalities	418	(3)
Linear Programming	421	(10)
Summary	427	(1)
Review Exercises	428	(1)
Test	429	(1)
Group Projects	430	(1)
The Metric System	431	(42)
Basic Terms and Conversions within the Metric System	432	(8)
Length, Area, and Volume	440	(10)
Mass and Temperature	450	(8)
Dimensional Analysis and Conversions to and from the Metric System	458	(15)
Summary	469	(1)
Review Exercises	469	(2)
Test	471	(1)
Group Projects	472	(1)
Geometry	473	(87)
Points, Lines, Planes, and Angles	474	(11)
Polygons	485	(11)
Perimeter and Area	496	(11)
Volume	507	(12)
Transformational Geometry, Symmetry, and Tessellations	519	(19)
The Mobius Strip, Klein Bottle, and Maps	538	(7)
Non-Euclidean Geometry and Fractal Geometry	545	(15)
Summary	553	(1)
Review Exercises	554	(3)
Test	557	(2)
Group Projects	559	(1)
Mathematical Systems	560	(32)
Groups	561	(7)
Finite Mathematical Systems	568	(11)
Modular Arithmetic	579	(13)
Summary	588	(1)
Review Exercises	589	(1)
Test	590	(1)
Group Projects	591	(1)
Consumer Mathematics	592	(61)
Percent	593	(9)
Personal Loans and Simple Interest	602	(11)
Compound Interest	613	(8)
Installment Buying	621	(14)
Buying a House with a Mortgage	635	(18)
Summary	647	(1)
Review Exercises	647	(3)
Test	650	(2)
Group Projects	652	(1)
Probability	653	(98)
The Nature of Probability	654	(8)
Theoretical Probability	662	(9)
Odds	671	(7)
Expected Value (Expectation)	678	(9)
Tree Diagrams	687	(8)
Or and And Problems	695	(12)
Conditional Probability	707	(7)
The Counting Principle and Permutations	714	(10)
Combinations	724	(6)
Solving Probability Problems by Using Combinations	730	(6)
Binomial Probability Formula	736	(15)
Summary	744	(1)
Review Exercises	745	(3)
Test	748	(2)
Group Projects	750	(1)
Statistics	751
Sampling Techniques	752	(5)
The Misuses of Statistics	757	(4)
Frequency Distributions	761	(6)
Statistical Graphs	767	(11)
Measures of Central Tendency	778	(10)
Measures of Dispersion	788	(8)
The Normal Curve	796	(12)
Linear Correlation and Regression	808
Summary	821	(1)
Review Exercises	821	(3)
Test	824	(1)
Group Projects	825
Appendix: Graph Theory	1	(1)
Answers	1	(1)
Credits	1	(1)
Index	1