S. B. Chae

Holomorphy and Calculus in Normed SPates (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 440
• Erscheinungstermin: 25. November 2020
• Englisch
• ISBN-13: 9781000146530
• Artikelnr.: 60575760

Autorenporträt

Soo Bong Chae is Professor of Mathematics at New College of the University of South Florida in Sarasota, Florida.

Inhaltsangabe

Part I: Normeo Spaces and Differential Calculus 1. Normed Spaces 2. Linear
Maps 3. Multilinear Maps 4. Polynomials 5. Differential Maps 6. Mean Value
Theorem 7. Higher Differentials 8. Finite Expansions and Taylor's Formula
Part II: Holomorphic Mappings 9. Holomorphic Functions of a Complex
Variable 10. The Strong Maximum Modulus Theorem 11. Power Series 12.
Analytic Mappings 13. Holomorphic Mappings 14. Gateaux Ho1omorphy 15.
Radius of Boundedness Part III: Topologies on Spaces of Holomorphic
Mappings 16. The Compact Open Topology on H(U;F) 17. The Nachbin Topology
on H(U;F) 18. The Bornological Topology on H{U;F) 19. Domains of Holomorphy
20. The Levi Problem in Banach Spaces 21. Spaces of Holomorphic Germs