Undergraduate Texts in Mathematics

From Fermat to Minkowski

Lectures on the Theory of Numbers and Its Historical Development

Authors: Scharlau, W., Opolka, H.

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About this Textbook

This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 42,79 €
price for Spain (gross)
  • ISBN 978-1-4757-1867-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
Softcover 51,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
From Fermat to Minkowski
Book Subtitle
Lectures on the Theory of Numbers and Its Historical Development
Authors
Translated by
Bühler, W.K., Cornell, G.
Series Title
Undergraduate Texts in Mathematics
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-1867-6
DOI
10.1007/978-1-4757-1867-6
Hardcover ISBN
978-0-387-90942-4
Softcover ISBN
978-1-4419-2821-4
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XII, 186
Topics