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A Course in Differential Geometry (Paperback, Softcover reprint of the original 1st ed. 1978)
Loot Price: R2,417
Discovery Miles 24 170
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A Course in Differential Geometry (Paperback, Softcover reprint of the original 1st ed. 1978)
Series: Graduate Texts in Mathematics, 51
Expected to ship within 10 - 15 working days
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This English edition could serve as a text for a first year
graduate course on differential geometry, as did for a long time
the Chicago Notes of Chern mentioned in the Preface to the German
Edition. Suitable references for ordin ary differential equations
are Hurewicz, W. Lectures on ordinary differential equations. MIT
Press, Cambridge, Mass., 1958, and for the topology of surfaces:
Massey, Algebraic Topology, Springer-Verlag, New York, 1977. Upon
David Hoffman fell the difficult task of transforming the tightly
constructed German text into one which would mesh well with the
more relaxed format of the Graduate Texts in Mathematics series.
There are some e1aborations and several new figures have been
added. I trust that the merits of the German edition have survived
whereas at the same time the efforts of David helped to elucidate
the general conception of the Course where we tried to put Geometry
before Formalism without giving up mathematical rigour. 1 wish to
thank David for his work and his enthusiasm during the whole period
of our collaboration. At the same time I would like to commend the
editors of Springer-Verlag for their patience and good advice. Bonn
Wilhelm Klingenberg June,1977 vii From the Preface to the German
Edition This book has its origins in a one-semester course in
differential geometry which 1 have given many times at Gottingen,
Mainz, and Bonn."
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