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"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
1. The Simplest Geometric Manifolds I. Line-Segment, Area, Volume, as Relative Magnitudes II. The Grassmann Determinant Principle for the Plane III. The Grassmann Principle for Space IV. Classification of the Elementary Configurations of Space According to their Behavior under Transformation of Rectangular Coordinates V. Derivative Manifolds 2. Geometric Transformations I. Affine Transformations II. Projective Transformations III. Higher Point Transformations IV. Transformations with Change of Space Element V. Theory of the Imaginary 3. Systematic Discussion of Geometry and Its Foundations I. The Systematic Discussion II. Foundations of Geometry Indexes
Product Description
This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreDover Pubns
- Data di pubblicazione2004
- ISBN 10 0486434818
- ISBN 13 9780486434810
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine214
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Elementary Mathematics from an Advanced Standpoint : Geometry
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Dover Publications, Incorporated, 2004
ISBN 10: 0486434818
ISBN 13: 9780486434810
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Elementary Mathematics from an Advanced Standpoint: Geometry
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Dover Publications (edition Dover), 2004
ISBN 10: 0486434818
ISBN 13: 9780486434810
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Elementary Mathematics from an Advanced Standpoint : Geometry
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Elementary Mathematics from an Advanced Standpoint: Geometry
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ISBN 13: 9780486434810
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Elementary Mathematics from an Advanced Standpoint : Geometry
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Dover Publications, 2004
ISBN 10: 0486434818
ISBN 13: 9780486434810
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Elementary Mathmatics from an Advan (Paperback)
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Paperback. Condizione: new. Paperback. "Nothing comparable to it." - Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures. This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780486434810
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Elementary Mathematics from an Advanced Standpoint: Geometry
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Elementary Mathematics from an Advanced Standpoint: Geometry
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Paperback. Condizione: Brand New. dover edition. 214 pages. 8.25x5.25x0.50 inches. In Stock. Codice articolo x-0486434818
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