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I have added the old ou course units to the back of the book after the index acrobat 7 pdf 25. Bonn wilhelm klingenberg june,1977 vii from the preface to the german edition this book has its origins in a onesemester course in differential geometry which 1 have given many times at gottingen, mainz, and bonn. An introduction to differential geometry with applications. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework.

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