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COMPLEX ANALYSIS (M2, Remmert)

Lecture Topic : (Pure Math) COMPLEX ANALYSIS (M2, Remmert)

Recommended Text(s) : Complex Analysis (M1);

“Theory of Complex Functions”, Graduate Text in Mathematics (GTM) No. 122, Reinhold Remmert, Springer, 1991.

Approx price new on Amazon.com : $54

Approx price second hand on Amazon.com : $52

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eMule search key word(s) : Remmert,  Complex Functions

Lectures and Links :

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Lecture 0  (link)

Ch.0   Complex Numbers and Continuous Functions

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Lecture 1  (link)

Ch.1   Complex Differential Calculus

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Lecture 2  (link)

Ch.2   Holomorphy and Conformality, Biholomorphic  Mappings

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Lecture 3  (link)

Ch.3   Modes of Convergence in Function Theory

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Lecture 4 (link)

Ch.4   Power Series

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Lecture 5  (link)

Ch.5   Elementary Transcendental Functions

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Lecture 6  (link)

Ch.6   Complex Integral Calculus

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Lecture 7  (link)

Ch.7   The Integral Theorem, Integral Formula and Power Series Development

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Lecture 8  (link)

Ch.8   Fundamental Theorems about Holomorphic Functions

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Lecture 9  (link)

Ch.9   Miscellany

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Lecture 10  (link)

Ch.10   Isolated Singularities, Meromorphic Functions

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Lecture 11  (link)

Ch.11   Convergent Series of Meromorphic Functions

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Lecture 12  (link)

Ch.12   Laurent Series and Fourier Series

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Lecture 13  (link)

Ch.13   The Residue Calculus

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Lecture 14  (link)

Ch.14   Definite Integrals and the Residue Calculus

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Lecture 15  (link)

Ch.15   Short Biographies of Abel, Cauchy, Eisenstein, Euler, Riemann, Weierstrass

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