Grundlehren der mathematischen Wissenschaften

Absolute Analysis

Authors: Nevanlinna, Frithjof, Nevanlinna, Rolf

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About this book

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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-3-662-00249-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $109.99
price for USA in USD
Softcover $84.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Absolute Analysis
Authors
Translated by
Emig, P.
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
102
Copyright
1973
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-00249-0
DOI
10.1007/978-3-662-00249-0
Hardcover ISBN
978-3-540-05917-2
Softcover ISBN
978-3-662-00251-3
Series ISSN
0072-7830
Edition Number
1
Number of Pages
VIII, 272
Topics