G. J. O. Jameson

Indeholder "Preface", "Terminology and notation", "Metric spaces", "1. Basic theory", " 1.1. The complex number field", " 1.2. Sequences and series", " 1.3. Line segments and convexity", " 1.4. Complex functions of a real variable", " 1.5. Differentiation", " 1.6. The exponential and trigonometric functions", " 1.7. Integration", "2. The theory of differentiable functions", " 2.1. Cauchy's integral theorem and formula", " 2.2. The Taylor series and its applications", " 2.3. Entire functions and polynomials", " 2.4. The modulus of a differentiable function", " 2.5. Singularities; Laurent series", " 2.6. The residue theorem", " 2.7. Integration of f'/f and the local mapping theorem", "3. Further topics", " 3.1. The evaluation of real integrals", " 3.2. The summation of series", " 3.3. Partial fractions", " 3.4. Winding numbers", "Glossary of symbols", "Bibliography", "Index".

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