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Elementary Mathematics from a Higher Standpoint : Precision Mathematics and A...
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eBay item number:354963109074
Item specifics
- Condition
- Book Title
- Elementary Mathematics from a Higher Standpoint : Precision Mathe
- ISBN
- 9783662494370
- Subject Area
- Education, Mathematics
- Publication Name
- Elementary Mathematics from a Higher Standpoint : Volume III: Precision Mathematics and Approximation Mathematics
- Item Length
- 9.3 in
- Publisher
- Springer Berlin / Heidelberg
- Subject
- General, Teaching Methods & Materials / Mathematics
- Publication Year
- 2016
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 150.9 Oz
- Number of Pages
- Xviii, 259 Pages
About this product
Product Information
These three volumes constitute the first complete English translation of Felix Klein's seminal series "Elementarmathematik vom h heren Standpunkte aus". "Complete" has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein's far-reaching conception of elementarisation , of the "elementary from a higher standpoint", in its implementation for school mathematics. In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics - from functions in one and two variables to practical geometry to space curves and surfaces - underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
366249437x
ISBN-13
9783662494370
eBay Product ID (ePID)
15038611211
Product Key Features
Publication Name
Elementary Mathematics from a Higher Standpoint : Volume III: Precision Mathematics and Approximation Mathematics
Format
Trade Paperback
Language
English
Subject
General, Teaching Methods & Materials / Mathematics
Publication Year
2016
Type
Textbook
Subject Area
Education, Mathematics
Number of Pages
Xviii, 259 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
150.9 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa10.92-20
Original Language
German
Table of Content
First Part: On Functions of a Real Variable and their Representation in an Orthogonal Coordinate System. I. Remarks on the Single Independent Variable x.- II. Functions f ( x ) of a Real Variable x.- III. The Approximated Representation of Functions.- IV. Further Discussion About the Trigonometric Representation of Functions.- V. Functions of Two Variables. Second Part: Free Geometry of Plane Curve. I. Precision Geometry Considerations in Plane Geometry.- II. Further Considerations of Precision Mathematics on Plane Geometry.- III. Transition to Practical Geometry: a) Geodesy.- IV. Further Considerations on Practical Geometry: b) Drawing Geometry.Third Part: About the Perception of Idealised Structures by Means of Drawings and Models. Name Index.- Subject Index.
Copyright Date
2016
Target Audience
Trade
Dewey Decimal
511.4
Dewey Edition
23
Illustrated
Yes
Item description from the seller
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eBay item number:354963109074
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Jessup, Maryland, United States
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