An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics.
Elementary Geometry for College Students
Indhold: Axioms for geometry; Vector geometry; Congruence axioms; Euclidean geometry; Coordinates and equations; Plane geometry; Conics and other curves; Solid geometry; Area and volume; Quadric surfaces; Diffential geometry of curves; ...
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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
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.
Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry.
It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.
The book is also intended to be a source for problems in geometry for enrichment programs such as Math Circles and Young Scholars. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields.