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Absolute Analysis (Hardcover, 1973 ed.)
Loot Price: R2,574
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Absolute Analysis (Hardcover, 1973 ed.)
Series: Grundlehren der mathematischen Wissenschaften, 102
Expected to ship within 18 - 22 working days
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The first edition of this book, published in German, came into
being as the result of lectures which the authors held over a
period of several years since 1953 at the Universities of Helsinki
and Zurich. The Introduction, which follows, provides information
on what moti vated our presentation of an absolute, coordinate- and
dimension-free infinitesimal calculus. Little previous knowledge is
presumed of the reader. It can be recom mended to students familiar
with the usual structure, based on co ordinates, of the elements of
analytic geometry, differential and integral calculus and of the
theory of differential equations. We are indebted to H. Keller, T.
Klemola, T. Nieminen, Ph. Tondeur and K. 1. Virtanen, who read our
presentation in our first manuscript, for important critical
remarks. The present new English edition deviates at several points
from the first edition (d. Introduction). Professor I. S.
Louhivaara has from the beginning to the end taken part in the
production of the new edition and has advanced our work by
suggestions on both content and form. For his important support we
wish to express our hearty thanks. We are indebted also to W. Greub
and to H. Haahti for various valuable remarks. Our manuscript for
this new edition has been translated into English by Doctor P.
Emig. We express to him our gratitude for his careful interest and
skillful attention during this work."
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