Introduction to modern elementary mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Francisco, Calif.
Holden-Day
1966
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 256 Seiten graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to modern elementary mathematics |c Ladis D. Kovach |
| 264 | 1 | |a San Francisco, Calif. |b Holden-Day |c 1966 | |
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Record in the Search Index
| _version_ | 1804145552679501824 |
|---|---|
| adam_text | Table of Contents
Preface
INTRODUCTION
1. Why new mathematics? 1
2. History of some modern programs 5
3. Characteristics of modern mathematics teaching 12
1. SETS (A)
1. Element of a set 15
2. Belonging or not belonging 16
3. A well-defined set 18
4. Universe of discourse 19
5. The empty set 20
6. Union of two sets 21
7. Closure 24
8. Counting 25
2. THE REAL NUMBER SYSTEM (A)
1. Natural numbers 29
2. One, the first counting number 30
3. Addition, a binary operation 30
4. Closure 31
5. Commutative property of addition 32
6. Associative property of addition 33
7. Subtraction, the inverse of addition 34
8. Multiplication, a binary operation 36
9. Commutative property of multiplication 37
10. Associative property of multiplication 39
11. One, the multiplicative identity 40
12. Distributive property of multiplication over addition 41
13. One-to-one correspondence 42
14. Arithmetic using the properties of counting numbers 43
15. Mathematics is a game 51
3. GEOMETRY (A)
1. A point undefined 54
2. Lines are sets 55
3. Planes that can t be seen 57
4. Space that cant be draivn 59
5. Measure and length 60
4. NUMBER THEORY (A)
1. Primes and composites 64
2. Factoring, using trees and exponents 65
3. The decimal system of numeration—base 10 69
4. The quinary system of numeration—base 5 70
5. The Roman system of numeration 73
5. SETS (B)
1. Intersection of two sets 76
2. Subsets 79
3. Venn diagrams 81
6. THE REAL NUMBER SYSTEM (B)
1. Whole numbers 87
2. Zero, the additive identity 88
3. Rational numbers 89
4. Reciprocals 93
5. Square root by an ancient method 95
7. GEOMETRY (B)
1. What is an angle? 99
2. Some plane figures 102
3. Area of a plane region 105
4. Volume 106
5. Discovering mensuration formulas 107
8. NUMBER THEORY (B)
1. Divisibility 112
2. Greatest common divisor and the Euclidean algorithm 113
3. Least common multiple 116
4. The octal system of numeration—base 8 119
5. The binary system of numeration—base 2 122
9. SETS (C)
1. Complementation, a unary operation 125
2. De Morgan s laws 127
3. Properties of set operations 128
4. The Cartesian product of two sets 132
5. Cardinal numbers 134
10. THE REAL NUMBER SYSTEM (C)
1. Negative numbers provide closure under subtraction 139
2. Irrational numbers fill the gaps 145
11. GEOMETRY (C)
1. Polyhedra and Euler s law 151
2. Constructions 153
3. Congruence and similarity 156
4. Graphing 158
12. NUMBER THEORY (C)
1. Ordering of the real numbers 162
2. Relations 163
3. The duodecimal system of numeration—base 12 166
4. Number and numeral 168
13. PROBLEM SOLVING
1. Sentences and transliteration 171
2. Solution sets 180
3. Dimensional analysis 182
4. Rounding 184
14. ARITHMETIC OPERATIONS
1. Rules of the game 189
2. Decimal numbers 191
15. SUPPLEMENTARY WORK
1. Magic squares 199
2. Puzzles and patterns 202
3. Self-evaluation for the brave 204
4. Suggestions for further study 212
Index of symbols 222
Answers and hints 224
Index 253
|
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| indexdate | 2024-07-09T23:21:16Z |
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| language | English |
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| physical | 256 Seiten graph. Darst. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
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| publisher | Holden-Day |
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| spelling | Kovach, Ladis D. Verfasser aut Introduction to modern elementary mathematics Ladis D. Kovach San Francisco, Calif. Holden-Day 1966 256 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022437732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kovach, Ladis D. Introduction to modern elementary mathematics |
| title | Introduction to modern elementary mathematics |
| title_auth | Introduction to modern elementary mathematics |
| title_exact_search | Introduction to modern elementary mathematics |
| title_full | Introduction to modern elementary mathematics Ladis D. Kovach |
| title_fullStr | Introduction to modern elementary mathematics Ladis D. Kovach |
| title_full_unstemmed | Introduction to modern elementary mathematics Ladis D. Kovach |
| title_short | Introduction to modern elementary mathematics |
| title_sort | introduction to modern elementary mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022437732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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