Math through the ages: a gentle history for teachers and others
Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an info...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
Mathematical Association of America
2004
|
| Ausgabe: | Expanded ed. |
| Schriftenreihe: | Classroom resource materials
|
| Schlagworte: | |
| Online-Zugang: | Table of contents Publisher description Inhaltsverzeichnis |
| Zusammenfassung: | Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further. |
| Beschreibung: | Includes bibliographical references (p. 253-262) and index |
| Beschreibung: | xii, 273 p. Ill., graph. Darst., Kt. 24 cm |
| ISBN: | 0883857367 |
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| 520 | 3 | |a Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further. | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface
..........................................................
vii
History in the Mathematics Classroom
..................... 1
The History of Mathematics in a Large Nutshell
.......... 5
Beginnings
..................................................... 6
Greek Mathematics
............................................ 14
Meanwhile, in India
............................................ 24
Arabic Mathematics
........................................... 28
Medieval Europe
............................................... 32
The 15th and 16th Centuries
................................... 35
Algebra Comes of Age
......................................... 37
Calculus and Applied Mathematics
............................ 42
Rigor and Professionalism
...................................... 47
Abstraction, Computers, and New Applications
................ 53
Mathematics Today
............................................ 59
Sketches
1.
Keeping Count
Writing Whole Numbers
.................................... 65
2.
Reading and Writing Arithmetic
Where the Symbols Came From
............................ 73
3.
Nothing Becomes a Number
The Story of Zero
.......................................... 79
4.
Broken Numbers
Writing Fractions
........................................... 85
5.
Something Less Than Nothing?
Negative Numbers
.......................................... 93
6.
By Tens and Tenths
Metric Measurement
........................................101
7.
Measuring the Circle
The Story of
π
.............................................107
8.
The Cossic Art
Writing Algebra with Symbols
..............................113
9.
Linear Thinking
Solving First Degree Equations
.............................121
10.
A Square and Things
Quadratic Equations
........................................127
xi
11.
Intrigue
in Renaissance Italy
Solving Cubic Equations
....................................133
12.
A Cheerful Fact
The Pythagorean Theorem
.................................139
13.
A Marvelous Proof
Fermat
s Last Theorem
.....................................147
14.
On Beauty Bare
Euclid s Plane Geometry
...................................155
15.
In Perfect Shape
The Platonic Solids
.........................................163
16.
Shapes by the Numbers
Coordinate Geometry
.......................................169
17.
Impossible, Imaginary, Useful
Complex Numbers
..........................................177
18.
Half Is Better
Sine and Cosine
............................................185
19.
Strange New Worlds
The Non-Euclidean Geometries
.............................193
20.
In the Eye of the Beholder
Projective
Geometry
........................................201
21.
Whaťs
in a Game?
The Start of Probability Theory
............................207
22.
Making Sense of Data
Statistics Becomes a Science
................................215
23.
Machines that Think?
Electronic Computers
.......................................223
24.
The Arithmetic of Reasoning
Logic and Boolean Algebra
.................................231
25.
Beyond Counting
Infinity and the Theory of Sets
.............................237
What to Read Next
...........................................245
The Reference Shelf
............................................245
Fifteen Historical Books You Ought to Read
...................248
The Internet and Other Media
.................................250
Bibliography
...................................................253
Index
...........................................................263
Xli
|
| adam_txt |
Contents
Preface
.
vii
History in the Mathematics Classroom
. 1
The History of Mathematics in a Large Nutshell
. 5
Beginnings
. 6
Greek Mathematics
. 14
Meanwhile, in India
. 24
Arabic Mathematics
. 28
Medieval Europe
. 32
The 15th and 16th Centuries
. 35
Algebra Comes of Age
. 37
Calculus and Applied Mathematics
. 42
Rigor and Professionalism
. 47
Abstraction, Computers, and New Applications
. 53
Mathematics Today
. 59
Sketches
1.
Keeping Count
Writing Whole Numbers
. 65
2.
Reading and Writing Arithmetic
Where the Symbols Came From
. 73
3.
Nothing Becomes a Number
The Story of Zero
. 79
4.
Broken Numbers
Writing Fractions
. 85
5.
Something Less Than Nothing?
Negative Numbers
. 93
6.
By Tens and Tenths
Metric Measurement
.101
7.
Measuring the Circle
The Story of
π
.107
8.
The Cossic Art
Writing Algebra with Symbols
.113
9.
Linear Thinking
Solving First Degree Equations
.121
10.
A Square and Things
Quadratic Equations
.127
xi
11.
Intrigue
in Renaissance Italy
Solving Cubic Equations
.133
12.
A Cheerful Fact
The Pythagorean Theorem
.139
13.
A Marvelous Proof
Fermat
's Last Theorem
.147
14.
On Beauty Bare
Euclid's Plane Geometry
.155
15.
In Perfect Shape
The Platonic Solids
.163
16.
Shapes by the Numbers
Coordinate Geometry
.169
17.
Impossible, Imaginary, Useful
Complex Numbers
.177
18.
Half Is Better
Sine and Cosine
.185
19.
Strange New Worlds
The Non-Euclidean Geometries
.193
20.
In the Eye of the Beholder
Projective
Geometry
.201
21.
Whaťs
in a Game?
The Start of Probability Theory
.207
22.
Making Sense of Data
Statistics Becomes a Science
.215
23.
Machines that Think?
Electronic Computers
.223
24.
The Arithmetic of Reasoning
Logic and Boolean Algebra
.231
25.
Beyond Counting
Infinity and the Theory of Sets
.237
What to Read Next
.245
The Reference Shelf
.245
Fifteen Historical Books You Ought to Read
.248
The Internet and Other Media
.250
Bibliography
.253
Index
.263
Xli |
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| physical | xii, 273 p. Ill., graph. Darst., Kt. 24 cm |
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| spelling | Berlinghoff, William P. Verfasser aut Math through the ages a gentle history for teachers and others William P. Berlinghoff ; Fernando Q. Gouvea Expanded ed. Washington, DC Mathematical Association of America 2004 xii, 273 p. Ill., graph. Darst., Kt. 24 cm txt rdacontent n rdamedia nc rdacarrier Classroom resource materials Includes bibliographical references (p. 253-262) and index Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further. Geschichte gnd rswk-swf Matemática (história) larpcal Mathématiques - Histoire Geschichte Mathematik Mathematics History Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Geschichte z DE-604 Gouvêa, Fernando Q. 1957- Sonstige (DE-588)111808863 oth http://www.loc.gov/catdir/toc/cam051/2003114603.html Table of contents http://www.loc.gov/catdir/description/cam041/2003114603.html Publisher description Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015665102&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berlinghoff, William P. Math through the ages a gentle history for teachers and others Matemática (história) larpcal Mathématiques - Histoire Geschichte Mathematik Mathematics History Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | Math through the ages a gentle history for teachers and others |
| title_auth | Math through the ages a gentle history for teachers and others |
| title_exact_search | Math through the ages a gentle history for teachers and others |
| title_exact_search_txtP | Math through the ages a gentle history for teachers and others |
| title_full | Math through the ages a gentle history for teachers and others William P. Berlinghoff ; Fernando Q. Gouvea |
| title_fullStr | Math through the ages a gentle history for teachers and others William P. Berlinghoff ; Fernando Q. Gouvea |
| title_full_unstemmed | Math through the ages a gentle history for teachers and others William P. Berlinghoff ; Fernando Q. Gouvea |
| title_short | Math through the ages |
| title_sort | math through the ages a gentle history for teachers and others |
| title_sub | a gentle history for teachers and others |
| topic | Matemática (história) larpcal Mathématiques - Histoire Geschichte Mathematik Mathematics History Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Matemática (história) Mathématiques - Histoire Geschichte Mathematik Mathematics History |
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