One of the most widely used texts in its field this volume introduces the differential geometry of curves and surfaces in both local and global aspects the presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Differential geometry a first course in curves and surfaces preliminary version summer 2016 theodore shifrin university of georgia dedicated to the memory of shiing shen chern. There is also plenty of figures examples exercises and applications which make the differential geometry of curves and surfaces so interesting and intuitive the author uses a rich variety of colours and techniques that help to clarify difficult abstract concepts teresa arias marco zbmath 137553001 2018 . Math 561 the differential geometry of curves and surfaces from time to time i give guest lectures in math 561 here are some notes from those lectures some lecture notes on curves based on the first chapter of do carmos textbook solutions to some problems from the first chapter of the do carmos textbook. This concise guide to the differential geometry of curves and surfaces can be recommended to first year graduate students strong senior students and students specializing in geometry the material is given in two parallel streams the first stream contains the standard theoretical material on differential geom etry of curves and surfaces
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