TY - BOOK AU - Amann, Herbert. AU - Escher, Joachim. TI - Analysis II SN - 9783764374723 U1 - 515 PY - 2008/// CY - Basel PB - Birkhauser KW - Mathematical analysis KW - Mathematics KW - Calculus KW - Functional analysis KW - Functions of complex variables N1 - 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 ER -