Differentiability in Banach Spaces, Differential Forms and Applications

Differentiability in Banach Spaces, Differential Forms and Applications

Doria, Celso Melchiades

Springer Nature Switzerland AG

07/2021

362

Dura

Inglês

9783030778330

15 a 20 dias

729

Descrição não disponível.
Introduction.- Chapter 1. Differentiation in R^n.- Chapter 2. Linear Operators in Banach Spaces.- Chapter 3. Differentiation in Banach Spaces.- Chapter 4. Vector Fields.- Chapter 5. Vectors Integration, Potential Theory.- Chapter 6. Differential Forms, Stoke's Theorem.- Chapter 7. Applications to the Stoke's Theorem.- Appendix A. Basics of Analysis.- Appendix B. Differentiable Manifolds, Lie Groups.- Appendix C. Tensor Algebra.- Bibliography.- Index.
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Banach Space;Differential of Functions;Differential Forms;Harmonic Functions;Harmonic Forms;De Rham Cohomology;Stoke's Theorem;Hodge Theorem;Maxwell's Equations