Analysis II/
Herbert Amann, Joachim Escher
- Basel: Birkhauser, 2008.
- xii, 400 p. : ill. ; 24 cm.
Preface -- VI. Integral Calculus in One Variable -- 1. Step Continuous Functions -- 2. Continuous Extensions -- 3. The Cauchy-Riemann Integral -- 4. Properties of the Integral -- 5. The Technology of Integration -- 6. Sums and Integrals -- 7. Fourier Series -- 8. Improper Integrals -- 9. The Gamma Function -- VII. Differential Calculus in Several Variables -- 1. Continuous Linear Mappings -- 2. Differentiability -- 3. Calculation Rules -- 4. Multilinear Mappings -- 5. Higher Derivatives -- 6. Nemytski Operators and Calculus of Variations -- 7. Inverse Mappings -- 8. Implicit Functions -- 9. Manifolds -- 10. Tangents and Normals -- VIII. Line Integrals -- 1. Curves and Their Length -- 2. Curves in Rn -- 3. Pfaff Forms -- 4. Line Integrals -- 5. Holomorphic Functions -- 6. Meromorphic Functions -- Bibliography -- Index.
9783764374723
Mathematical analysis Mathematics Calculus Functional analysis Functions of complex variables