By Chuan-Chih Hsiung
This publication is designed to introduce differential geometry to starting graduate scholars in addition to to complex undergraduate scholars. within the final couple of many years, differential geometry, in addition to different branches of arithmetic, has been significantly constructed. during this ebook we are going to examine in simple terms the normal themes: particularly, curves and surfaces in a 3-dimensional Euclidean house E3. in contrast to so much classical books at the topic, although, extra cognizance is paid right here to the relationships among neighborhood and international houses, in preference to neighborhood homes simply. even though we limit our recognition to curves and surfaces in E3, so much international theorems for curves and surfaces during this ebook might be prolonged to raised dimensional areas, to extra normal curves and surfaces, or to either. additionally, geometric interpretations are given in addition to analytic expressions. this permits scholars to use geometric instinct, that is a necessary software for learning geometry and similar difficulties.
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