Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition`Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? ... logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-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. ``What to Read Next'' and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics. |
Iz vsebine knjige
Zadetki 1–5 od 5
Stran 15
Greek Mathematics Many ancient cultures developed various kinds of
mathematics, but the Greek mathematicians were unique in putting logical
reasoning and proof at the center of the subject. By doing so, they changed
forever what it means ...
Greek Mathematics Many ancient cultures developed various kinds of
mathematics, but the Greek mathematicians were unique in putting logical
reasoning and proof at the center of the subject. By doing so, they changed
forever what it means ...
Stran 16
Our account here can only scratch the surface of the vast body of scholarship on
Greek mathematics. It is important to stress that when one speaks of “Greek
mathematics” the main reference of the word “Greek” is to the language in which
it is ...
Our account here can only scratch the surface of the vast body of scholarship on
Greek mathematics. It is important to stress that when one speaks of “Greek
mathematics” the main reference of the word “Greek” is to the language in which
it is ...
Stran 20
In so doing, he spread the Greek language, culture, and learning to many other
parts of the world. For several centuries to follow, most educated people living in
the countries bordering the Eastern Mediterranean spoke Greek. In effect, Greek
...
In so doing, he spread the Greek language, culture, and learning to many other
parts of the world. For several centuries to follow, most educated people living in
the countries bordering the Eastern Mediterranean spoke Greek. In effect, Greek
...
Stran 21
Greek geometry does not end with the Elements. Euclid himself also wrote books
on conic sections, geometric optics, spherical geometry, and solving geometrical
problems. Archimedes wrote about areas and volumes of various curved ...
Greek geometry does not end with the Elements. Euclid himself also wrote books
on conic sections, geometric optics, spherical geometry, and solving geometrical
problems. Archimedes wrote about areas and volumes of various curved ...
Stran 24
Dosegli ste zgornjo mejo števila strani te knjige, ki je na voljo.
Dosegli ste zgornjo mejo števila strani te knjige, ki je na voljo.
Mnenja - Napišite recenzijo
LibraryThing Review
Uporabnikova ocena - TrgLlyLibrarian - LibraryThingGreat overview, not too heavy, and fed to you in short chapters on widely varying topics. It includes some problems and projects to further investigate at the end of each chapter. Great for teachers. This may be inspiring to me for programs or just outreach to people facing math homework. Celotno mnenje
Vsebina
| 1 | |
| 5 | |
Sketches | 67 |
What to Read Next | 287 |
When They Lived | 295 |
Bibliography | 301 |
Index | 319 |
About the Authors | 333 |
Back cover | 334 |
Druge izdaje - Prikaži vse
Math Through the Ages: A Gentle History for Teachers and Others William P. Berlinghoff,Fernando Q. Gouvêa Predogled ni na voljo - 2004 |
Pogosti izrazi in povedi
19th century algebra angle answer appeared approach Arabic arithmetic basic became become began calculate called century circle complex considered construct course curve decimal described developed discussion Display early equal equations Euclid example explain expressed fact Fermat figure formula fractions geometry give given Greek ideas important Indian infinite interesting Italy kind known later learned length less logical Look math mathematicians mathematics means measure method negative numbers notation numbers plane positive powers Press probably problems Projects proof prove published quantities questions ratio reference represent roots scholars seems segment showed side sine Sketch solution solve sources square step story symbols tangent texts theorem theory things translated triangle true understand unit University whole write written wrote
Bibliografski podatki
| Naslov | Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition Količina 32 od AMS/MAA Textbooks |
| Avtorji | William P. Berlinghoff, Fernando Q. Gouvea |
| Izdaja | ilustrirana, pregledana in dopolnjena |
| Založnik | American Mathematical Soc., 2020 |
| ISBN | 1939512123, 9781939512123 |
| Dolžina | 331 strani |
| Izvozi navedbo | BiBTeX EndNote RefMan |