Holomorphy and Calculus in Normed SPates

AvS. B. Chae

Inbunden, Engelska, 1985

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1985-04-29
Mått:152 x 229 x 28 mm
Vikt:725 g
Format:Inbunden
Språk:Engelska
Serie:Chapman & Hall/CRC Pure and Applied Mathematics
Antal sidor:440
Förlag:Taylor & Francis Inc
ISBN:9780824772314

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

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