The Mathematical Palette (with BCA/iLrn™ Tutorial and InfoTrac)

by Staszkow, Ronald; Bradshaw, Robert

• ISBN13: 9780534403652
• ISBN10: 0534403654
• Edition: 3rd
• Format: Hardcover
• Copyright: 2004-01-16
• Publisher: Brooks Cole

Summary

Be successful in math with THE MATHEMATICAL PALETTE! Written with you in mind, the authors make mathematics enjoyable, relevant, understandable, and informative. Visually engaging, the text features full color pictures of fine art to bring mathematical concepts to life. Everyday applications are included to illustrate the evolution and practicality of math and parallel the creativity of liberal arts majors. Prepare for exams with numerous resources located online and throughout the text such as live online tutoring, tutorials, a book companion website, chapter-ending summaries, reviews, tests, and accurate answer sections.

Table of Contents

Preface	xi
chapter 1 Numbers-Old and New
OVERVIEW	2	(1)
A SHORT HISTORY OF NUMBERS AND NUMERALS	2	(2)
PROJECTS	4	(44)
1.1 Ancient Systems of Numeration	6	(11)
1.2 The Hindu-Arabic System and Fractions	17	(6)
1.3 Numeration Systems with Other Bases	23	(8)
1.4 The Numbers of Technology	31	(8)
1.5 Types of Numbers	39	(9)
Summary	48	(2)
Review	50	(1)
Test	51	(3)
chapter 2 Logical Thinking
OVERVIEW	54	(1)
A SHORT HISTORY OF LOGIC	54	(1)
PROJECTS	55	(48)
2.1 Logic, Statements, and Definitions	56	(8)
2.2 Inductive and Deductive Reasoning	64	(10)
2.3 Symbolic Logic and Truth Tables	74	(11)
2.4 Logic and Flowcharts	85	(8)
2.5 Logic and Puzzles	93	(10)
Summary	103	(2)
Review	105	(1)
Test	106	(4)
chapter 3 Sets and Counting
OVERVIEW	110	(1)
A SHORT HISTORY OF SETS	110	(2)
PROJECTS	112	(34)
3.1 Sets: Finite and Infinite	113	(8)
3.2 Set Operations and Venn Diagrams	121	(7)
3.3 Applications of Sets	128	(7)
3.4 Introduction to Counting	135	(11)
Summary	146	(1)
Review	147	(2)
Test	149	(3)
chapter 4 Probability
OVERVIEW	152	(1)
A SHORT HISTORY OF PROBABILITY	152	(2)
PROJECTS	154	(51)
4.1 Intuitive Concepts of Probability	155	(8)
4.2 Calculating Probabilities	163	(9)
4.3 Probability and Odds	172	(4)
4.4 Probability of Compound Events	176	(11)
4.5 Conditional Probability	187	(8)
4.6 Expected Value	195	(10)
Summary	205	(2)
Review	207	(2)
Test	209	(3)
chapter 5 Statistics and the Consumer
OVERVIEW	212	(1)
A SHORT HISTORY OF STATISTICS	212	(1)
PROJECTS	213	(61)
5.1 Arranging Information	215	(11)
5.2 Measures of Central Tendency	226	(10)
5.3 Measures of Dispersion	236	(9)
5.4 The Normal Distribution	245	(12)
5.5 Polls and the Margin of Error	257	(7)
5.6 Regression and Forecasting	264	(10)
Summary	274	(1)
Review	275	(2)
Test	277	(3)
chapter 6 Modeling with Algebra
OVERVIEW	280	(1)
A SHORT HISTORY OF ALGEBRA	280	(2)
PROJECTS	282	(44)
6.1 Linear Models	284	(10)
6.2 Quadratic Models	294	(10)
6.3 Exponential Models	304	(12)
6.4 Logarithmic Models	316	(10)
Summary	326	(1)
Review	327	(2)
Test	329	(5)
chapter 7 Geometry and Art
OVERVIEW	334	(1)
A SHORT HISTORY OF GEOMETRY	334	(3)
PROJECTS	337	(80)
7.1 Euclidean and Non-Euclidean Geometry	338	(13)
7.2 Perspective	351	(17)
7.3 Golden Ratios and Rectangles	368	(10)
7.4 Polygons and Stars	378	(12)
7.5 Tessellations	390	(12)
7.6 Fractals	402	(15)
Summary	417	(2)
Review	419	(2)
Test	421	(3)
chapter 8 Trigonometry: A Door to the Unmeasurable
OVERVIEW	424	(1)
A SHORT HISTORY OF TRIGONOMETRY	424	(2)
PROJECTS	426	(47)
8.1 Right Triangles, Sine, Cosine, Tangent	427	(7)
8.2 Solving Right Triangles	434	(7)
8.3 Right Triangle Applications	441	(8)
8.4 The Laws of Sines and Cosines	449	(9)
8.5 Acute Triangle Applications	458	(9)
8.6 The Motion of a Projectile	467	(6)
Summary	473	(2)
Review	475	(2)
Test	477	(3)
chapter 9 Finance Matters
OVERVIEW	480	(1)
A SHORT HISTORY OF INTEREST	480	(2)
PROJECTS	482	(38)
9.1 Percents	484	(8)
9.2 Simple Interest	492	(5)
9.3 Compound Interest	497	(9)
9.4 Annuities	506	(5)
9.5 Loans	511	(9)
Summary	520	(1)
Review	521	(2)
Test	523	(3)
chapter 10 Math from Other Vistas
OVERVIEW	526	(1)
10.1 Differential Calculus	527	(12)
10.2 Integral Calculus	539	(9)
10.3 The Pascal-Yang Hui Triangle	548	(8)
10.4 Voting Systems	556	(9)
10.5 Apportionment	565	(9)
10.6 Linear Programming	574	(11)
Appendix	585	(4)
Selected Answers	589	(40)
Credits	629	(4)
Index	633