Elementary Mathematics from an Advanced Standpoint (eBook)

Felix Klein (Autor)

eBook Download: EPUB

2012
224 Seiten
Dover Publications (Verlag)
978-0-486-16741-1 (ISBN)

Infos

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.

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"e;Nothing comparable to it."e; — 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.

Produkt-Details

• Erscheint lt. Verlag: 10.2.2012
• Reihe/Serie: Dover Books on Mathematics
• Zusatzinfo: 141 figures
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 254 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-486-16741-0 / 0486167410
• ISBN-13: 978-0-486-16741-1 / 9780486167411