Elementary Differential Geometry, First Edition, Second Printing: Barrett O'Neill

Description

Description (From the Preface):This book is an elementary account of the geometry of curves and surfaces.
It is written for students who have completed standard first courses in calculus and linear algebra, and its aim is to introduce some of the main ideas of differential geometry.
The traditional undergraduate course in differential geometry has changed very little in the last few decades. By contrast, geometry has been advancing very rapidly at the research level, and there is general agreement that the undergraduate course needs to be brought up to date. I have tried to think through the classical material, to prune and augment it, and to write down the results in a reasonably clean and modern mathematical style.
However, I have used a new idea only if it really pays its way by simplifying and clarifying the exposition.

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