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The Elements of Non-Euclidean Geometry

The Elements of Non-Euclidean Geometry

Julian Lowell Coolidge

31,57 €
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Editorial:
Hawk Press
Año de edición:
1998
Materia
Matemáticas
ISBN:
9789395034098

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CHAPTER I FOUNDATION FOR METRICAL GEOMETRY IN A LIMITED REGIONCHAPTER II CONGRUENT TRANSFORMATIONSCHAPTER III THE THREE HYPOTHESESCHAPTER IV THE INTRODUCTION OF TRIGONOMETRIC FORMULAECHAPTER V ANALYTIC FORMULAECHAPTER VI CONSISTENCY AND SIGNIFICANCE OF THE AXIOMSCHAPTER VII THE GEOMETRIC AND ANALYTIC EXTENSION OF SPACECHAPTER VIII THE GROUPS OF CONGRUENT TRANSFORMATIONSCHAPTER IX POINT, LINE, AND PLANE TREATED ANALYTICALLYCHAPTER X THE HIGHER LINE GEOMETRYCHAPTER XI THE CIRCLE AND THE SPHERECHAPTER XII CONIC SECTIONSCHAPTER XIII QUADRIC SURFACESCHAPTER XIV AREAS AND VOLUMESCHAPTER XV INTRODUCTION TO DIFFERENTIAL GEOMETRYCHAPTER XVI DIFFERENTIAL LINE-GEOMETRYCHAPTER XVII MULTIPLY CONNECTED SPACESCHAPTER XVIII THE PROJECTIVE BASIS OF NON-EUCLIDEAN GEOMETRYCHAPTER XIX THE DIFFERENTIAL BASIS FOR EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY

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