語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Exploring classical Greek constructi...
~
SpringerLink (Online service)
Exploring classical Greek construction problems with interactive geometry software
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Exploring classical Greek construction problems with interactive geometry software/ by Ad Meskens, Paul Tytgat.
作者:
Meskens, Ad.
其他作者:
Tytgat, Paul.
出版者:
Cham :Springer International Publishing : : 2017.,
面頁冊數:
xii, 185 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
標題:
Geometry - History. -
電子資源:
http://dx.doi.org/10.1007/978-3-319-42863-5
ISBN:
9783319428635
Exploring classical Greek construction problems with interactive geometry software
Meskens, Ad.
Exploring classical Greek construction problems with interactive geometry software
[electronic resource] /by Ad Meskens, Paul Tytgat. - Cham :Springer International Publishing :2017. - xii, 185 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..
1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- Afterthoughts -- Solutions -- Index.
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viete and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
ISBN: 9783319428635
Standard No.: 10.1007/978-3-319-42863-5doiSubjects--Topical Terms:
892154
Geometry
--History.
LC Class. No.: QA443.5
Dewey Class. No.: 516.009
Exploring classical Greek construction problems with interactive geometry software
LDR
:02419nam a2200325 a 4500
001
959115
003
DE-He213
005
20170828144208.0
006
m d
007
cr nn 008maaau
008
201118s2017 gw s 0 eng d
020
$a
9783319428635
$q
(electronic bk.)
020
$a
9783319428628
$q
(paper)
024
7
$a
10.1007/978-3-319-42863-5
$2
doi
035
$a
978-3-319-42863-5
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA443.5
072
7
$a
PBM
$2
bicssc
072
7
$a
MAT012000
$2
bisacsh
082
0 4
$a
516.009
$2
23
090
$a
QA443.5
$b
.M578 2017
100
1
$a
Meskens, Ad.
$3
930857
245
1 0
$a
Exploring classical Greek construction problems with interactive geometry software
$h
[electronic resource] /
$c
by Ad Meskens, Paul Tytgat.
260
$a
Cham :
$c
2017.
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
300
$a
xii, 185 p. :
$b
ill. (some col.), digital ;
$c
24 cm.
490
1
$a
Compact textbooks in mathematics,
$x
2296-4568
505
0
$a
1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- Afterthoughts -- Solutions -- Index.
520
$a
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viete and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
650
0
$a
Geometry
$x
History.
$3
892154
650
0
$a
Geometrical constructions.
$3
1251629
650
0
$a
Geometry
$x
Computer programs.
$3
670240
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Geometry.
$3
579899
650
2 4
$a
History of Mathematical Sciences.
$3
785417
650
2 4
$a
Mathematics Education.
$3
671509
700
1
$a
Tytgat, Paul.
$3
1251628
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Compact textbooks in mathematics.
$3
1069870
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-42863-5
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入