THE MATHEMATICAL PALETTE makes mathematics enjoyable, relevant, understandable, and informative for students. Visually engaging, the text features full color pictures of fine art to bring mathematical concepts to life for the liberal arts student. The text emphasizes problem solving through discovery and applications, encouraging students to become active participants and instilling a rich understanding and appreciation for the beauty of mathematics. Along with its emphasis on writing and critical thinking skills, the text presents the history of mathematicians with numerous, everyday applications to illustrate the evolution and practicality of math and parallel the creativity of liberal arts majors. The Third Edition of THE MATHEMATICAL PALETTE also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes BCA/iLrn Testing and Tutorial, vMentor live online tutoring, and a Book Companion Web Site featuring online graphing calculator resources.
Author(s): Ronald Staszkow, Robert Bradshaw
Edition: 3
Publisher: Brooks Cole
Year: 2004
Language: English
Pages: 669
Tags: Математика;Высшая математика (основы);
Front Cover......Page 1
Title Page......Page 8
Copyright......Page 9
Contents......Page 10
PREFACE......Page 14
CHAPTER ONE: NUMBERS— Old and New......Page 22
A SHORT HISTORY OF NUMBERS AND NUMERALS......Page 23
CHAPTER 1 PROJECTS......Page 25
1.1: Ancient Systems of Numeration......Page 27
1.2: The Hindu-Arabic System and Fractions......Page 38
1.3: Numeration Systems with Other Bases......Page 44
1.4: The Numbers of Technology......Page 52
1.5: Types of Numbers......Page 60
SUMMARY......Page 69
REVIEW......Page 71
TEST......Page 72
CHAPTER TWO: Logical Thinking......Page 74
A SHORT HISTORY OF LOGIC......Page 75
CHAPTER 2 PROJECTS......Page 76
2.1 Logic, Statements, and Definitions......Page 77
2.2 Inductive and Deductive Reasoning......Page 85
2.3 Symbolic Logic and Truth Tables......Page 95
2.4 Logic and Flowcharts......Page 106
2.5 Logic and Puzzles......Page 114
SUMMARY......Page 124
REVIEW......Page 126
TEST......Page 127
CHAPTER THREE: Sets and Counting......Page 130
A SHORT HISTORY OF SETS......Page 131
CHAPTER 3 PROJECTS......Page 133
3.1 Sets: Finite and Infinite......Page 134
3.2 Set Operations and Venn Diagrams......Page 142
3.3 Applications of Sets......Page 149
3.4 Introduction to Counting......Page 156
SUMMARY......Page 167
REVIEW......Page 168
TEST......Page 170
CHAPTER FOUR: Probability......Page 172
A SHORT HISTORY OF PROBABILITY......Page 173
CHAPTER 4 PROJECTS......Page 175
4.1 Intuitive Concepts of Probability......Page 176
4.2 Calculating Probabilities......Page 184
4.3 Probability and Odds......Page 193
4.4 Probability of Compound Events......Page 197
4.5 Conditional Probability......Page 208
4.6 Expected Value......Page 216
SUMMARY......Page 226
REVIEW......Page 228
EST......Page 230
CHAPTER FIVE: Statistics and the Consumer......Page 232
A SHORT HISTORY OF STATISTICS......Page 233
CHAPTER 5 PROJECTS......Page 234
5.1 Arranging Information......Page 236
5.2 Measures of Central Tendency......Page 247
5.3 Measures of Dispersion......Page 257
5.4 The Normal Distribution......Page 266
5.5 Polls and the Margin of Error......Page 278
5.6 Regression and Forecasting......Page 285
SUMMARY......Page 295
REVIEW......Page 296
TEST......Page 298
CHAPTER SIX: Modeling with Algebra......Page 300
A SHORT HISTORY OF ALGEBRA......Page 301
CHAPTER 6: PROJECTS......Page 303
6.1 Linear Models......Page 305
6.2 Quadratic Models......Page 315
6.3 Exponential Models......Page 325
6.4 Logarithmic Models......Page 337
SUMMARY......Page 347
REVIEW......Page 348
TEST......Page 350
CHAPTER SEVEN: Geometry and Art......Page 354
A SHORT HISTORY OF GEOMETRY......Page 355
CHAPTER 7 PROJECTS......Page 358
7.1 Euclidean and Non-Euclidean Geometry......Page 359
7.2 Perspective......Page 372
7.3 Golden Ratios and Rectangles......Page 389
7.4 Polygons and Stars......Page 399
7.5 Tessellations......Page 411
7.6 Fractals......Page 423
SUMMARY......Page 438
REVIEW......Page 440
TEST......Page 442
CHAPTER EIGHT: Trigonometry: A Door to the Unmeasurable......Page 444
A SHORT HISTORY OF TRIGONOMETRY......Page 445
CHAPTER 8 PROJECTS......Page 447
8.1 Right Triangles, Sine, Cosine, Tangent......Page 448
8.2 Solving Right Triangles......Page 455
8.3 Right Triangle Applications......Page 462
8.4 The Laws of Sines and Cosines......Page 470
8.5 Acute Triangle Applications......Page 479
8.6 The Motion of a Projectile......Page 488
SUMMARY......Page 494
REVIEW......Page 496
TEST......Page 498
CHAPTER NINE: Finance Matters......Page 500
A SHORT STORY OF INTEREST......Page 501
CHAPTER 9 PROJECTS......Page 503
9.1 Percents......Page 505
9.2 Simple Interest......Page 513
9.3 Compound Interest......Page 518
9.4 Annuities......Page 527
9.5 Loans......Page 532
SUMMARY......Page 541
REVIEW......Page 542
TEST......Page 544
CHAPTER TEN: Math from Other Vistas......Page 546
OVERVIEW......Page 547
10.1 Differential Calculus......Page 548
10.2 Integral Calculus......Page 560
10.3 The Pascal–Yang Hui Triangle......Page 569
10.4 Voting Systems......Page 577
10.5 Apportionment......Page 586
10.6 Linear Programming......Page 595
APPENDIX......Page 606
SELECTED ANSWERS......Page 610
CREDITS......Page 650
INDEX......Page 654
