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Locally Convex Spaces over Non-Archimedean Valued Fields (Cambridge Studies in Advanced Mathematics), by C. Perez-Garcia, W. H. Schikhof
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Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
- Sales Rank: #10090300 in Books
- Published on: 2010-02-15
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.06" w x 5.98" l, 1.25 pounds
- Binding: Hardcover
- 486 pages
Review
"The book under review is, in my opinion, the best of the existing books on the theory of non-Archimedian locally convex spaces. It contains most of the known results which are published in the area. The book is self-contained and only basic knowledge of linear algebra, analysis and topology are needed to read it."
Athanasios K. Katsaras, Mathematical Reviews
About the Author
C. Perez-Garcia is Professor in the Department of Mathematics, Statistics and Computation at the University of Cantabria, Spain.
W. H. Schikhof worked as a Professor at Radboud University Nijmegen, Netherlands for forty years. He has since retired but is still active in mathematical research.
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