Modern mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pacific Grove, Calif.
Brooks/Cole
1992
|
| Edition: | 8. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 779, 96 S. graph. Darst. |
| ISBN: | 0534166024 |
Staff View
MARC
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| 100 | 1 | |a Wheeler, Ruric E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Modern mathematics |c Ruric E. Wheeler |
| 250 | |a 8. ed. | ||
| 264 | 1 | |a Pacific Grove, Calif. |b Brooks/Cole |c 1992 | |
| 300 | |a XVI, 779, 96 S. |b graph. Darst. | ||
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| 650 | 4 | |a Mathematik | |
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Record in the Search Index
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| adam_text | Contents ^^^^^^^¦i^m^^hm
Preface xi
PART I
Critical Thinking 2
CHAPTER 1
Critical Thinking, Problem Solving, and Logic 5
1 Critical Thinking and Inductive Reasoning 6
2 Introduction to Problem Solving 18
3 Critical Thinking and an Introduction to Logic 29
4 Critical Thinking and Conditionals 37
*5 Quantifiers 47
*6 Making Use of Deductive Logic 55
Summary and Review 63
Chapter Test 64
PART II
Development of Number Systems 66
CHAPTER 2
Tools for Problem Solving: Sets and Numbers 69
1 An Introduction to Sets 70
2 Cartesian Product and Relations 82
3 The Number of Elements In a Set 90
4 Whole Number Addition, Subtraction, and Order 99
5 Whole Number Multiplication and Division 111
Summary and Review 125
Chapter Test 126
CHAPTER 3
Numeration Systems 129
1 History of Numeration Systems 130
2 Using Exponentials in Addition and Subtraction Algorithms 140
• These sections may be omitted without loss of continuity or comprehension.
• 3 Multiplication and Division Algorithms 153
#4 Patterns for Nondecimal Bases 163
*5 Computations in Different Bases 171
Summary and Review 179
Chapter Test 180
CHAPTER 4
The System of Integers and Elementary Number Theory 181
1 The System of Integers 182
2 Integer Multiplication and Division 193
3 Divisibility 200
4 Primes, Composites, and Factorization 209
5 Greatest Common Divisor and Least Common Multiple 218
*6 Modular Arithmetic 228
Summary and Review 237
Chapter Test 239
CHAPTER 5
Introduction to the Rational Numbers 241
1 The Set of Rational Numbers 242
2 Addition and Subtraction of Rational Numbers 252
3 Multiplication and Division of Rational Numbers 263
4 Return to Problem Solving 273
5 Introduction to Decimals 281
6 The Arithmetic of Decimals 295
Summary and Review 305
Chapter Test 306
CHAPTER 6
From Rational Numbers to Real Numbers 307
1 Ratio and Proportion 308
2 The Language of Percent 317
3 The Rational Number System 326
4 The Real Number System 335
Summary and Review 349
Chapter Test 350
PART III
Applications of Elementary Mathematics 352
CHAPTER 7
Consumer Mathematics 355
1 Some Comparisons of Interest Rates 356
2 Calculator Approach to Annuities 365
3 Present Value of an Annuity and Amortization 371
*4 Annual Percentage Rate 376
Summary and Review 381
Chapter Test 381
CHAPTER 8
Introduction to Probability Theory 383
1 The Language of Probability 384
2 Empirical Probability and the Fundamental Principle of Counting 394
*3 Counting Techniques Using Permutations and Combinations 403
4 Properties of Probability 410
*5 Expected Value and the Probability of Compound Events 420
Summary and Review 432
Chapter Test 433
CHAPTER 9
The Uses and Misuses of Statistics 435
1 Frequency Distributions and Graphical Representations 436
2 What Is Average? 449
3 How to Measure Scattering 460
*4 The Normal Distribution 469
Summary and Review 479
Chapter Test 480
PART IV
An Introduction to Geometry and Thinking Skills 482
CHAPTER 10
Informal Geometry 485
1 Some Basic Ideas of Geometry 486
2 Lines, Planes, and Angles 495
3 Simple Closed Curves 507
*4 Geometric Patterns in Nature and Art 518
5 Simple Closed Surfaces 528
Summary and Review 539
Chapter Test 540
CHAPTER 11
Measurement and the Metric System 543
1 Measurement and the International Metric System 544
2 Congruence and Measure 555
3 Formulas for Perimeter and Area 566
4 Surface Area and Volume 577
*5 Other SI Units of Measure 591
Summary and Review 599
Chapter Test 599
CHAPTER 12
Additional Topics of Geometry 601
1 Congruence and Triangles 602
2 Congruence and Right Triangles 610
3 Justifications of Constructions 619
4 Similar Geometric Figures 628
*5 Topological Equivalence 636
*6 Traversing a Network 639
Summary and Review 646
Chapter Test 646
CHAPTER 13
Coordinate Geometry and Transformations 649
1 Coordinate Geometry 650
2 Introduction to Reflections or Flips 657
3 Slides or Translations 667
4 Rotations and Successive Motions 674
*5 Transformations, Congruence, and Similarity 684
Summary and Review 689
Chapter Test 689
CHAPTER 14
Algebra and Geometry 691
1 Functions 692
2 Expressing Ideas with Linear Functions 699
3 Slopes and Linear Equations 707
4 Systems of Linear Equations 715
*5 Quadratic Functions and the Parabola 721
Summary and Review 729
Chapter Test 730
PART V
Using Technology 732
CHAPTER 15
Introduction to Computers 735
1 Introduction to the BASIC Language 736
2 Some BASIC Statements 746
3 Solving Problems Using the Computer 753
4 More BASIC Tools for Problem Solving 758
5 Introduction to Logo 763
6 Looping in Logo—the REPEAT Command 767
7 Building New Logo Commands 773
Summary and Review 777
Chapter Test 778
Appendix a-i
Answers to Selected Exercises a-3
Answers to Just for Fun a 81
Index A-9i
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 8. ed. |
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| id | DE-604.BV009939647 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:43:35Z |
| institution | BVB |
| isbn | 0534166024 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006585226 |
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| physical | XVI, 779, 96 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Brooks/Cole |
| record_format | marc |
| spelling | Wheeler, Ruric E. Verfasser aut Modern mathematics Ruric E. Wheeler 8. ed. Pacific Grove, Calif. Brooks/Cole 1992 XVI, 779, 96 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006585226&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wheeler, Ruric E. Modern mathematics Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | Modern mathematics |
| title_auth | Modern mathematics |
| title_exact_search | Modern mathematics |
| title_full | Modern mathematics Ruric E. Wheeler |
| title_fullStr | Modern mathematics Ruric E. Wheeler |
| title_full_unstemmed | Modern mathematics Ruric E. Wheeler |
| title_short | Modern mathematics |
| title_sort | modern mathematics |
| topic | Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Mathematics |
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