000 00319nam a2200133Ia 4500
999 _c185930
_d185930
020 _a9783764374723
040 _cCUS
082 _a515
_bAMA/A
100 _aAmann, Herbert.
245 0 _aAnalysis II/
_cHerbert Amann, Joachim Escher
260 _aBasel:
_bBirkhauser,
_c2008.
300 _axii, 400 p. :
_bill. ;
_c24 cm.
505 _aPreface -- 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.
650 _aMathematical analysis
650 _aMathematics
650 _aCalculus
650 _aFunctional analysis
650 _aFunctions of complex variables
700 _aEscher, Joachim.
942 _cWB16