The Basic Theory of Power Series (Advanced Lectures in Mathematics) by Jesús M. Ruiz (PDF)

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Ebook Info

  • Published: 1993
  • Number of pages:
  • Format: PDF
  • File Size: 3.79 MB
  • Authors: Jesús M. Ruiz

Description

Power series techniques are indispensable in many branches of mathematics, in particular in complex and in real analytic geometry, in commutative algebra, in algebraic geometry, in real algebraic geometry. The book covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any of these branches. In particular it presents Rückert’s complex nullstellensatz, Risler’s real nullstellensatz, Tougerons’ implicit function theorem, and Artin’s approximation theorem, to name a few. Up to now a student of any of the subjects mentioned above usually had to learn about power series within the framework of the vast theory of the subject. The present book opens another path: One gets acquaintance with power series in a direct and elementary way, and then disposes of a good box of tools and examples to penetrate any of the subjects mentioned above, and also some others.

User’s Reviews

Opiniones editoriales About the Author Dr. Jésus M. Ruiz ist Professor für Mathematik am Institut für Geometrie und Topologie an der Universität Complutense de Madrid.

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Keywords

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Download The Basic Theory of Power Series (Advanced Lectures in Mathematics) PDF
Free Download Ebook The Basic Theory of Power Series (Advanced Lectures in Mathematics)

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