Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc


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 : $54

Approx price second hand on : $52

Availability free on : Yes

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

Lectures and Links :


Lecture 0  (link)

Ch.0   Complex Numbers and Continuous Functions


Lecture 1  (link)

Ch.1   Complex Differential Calculus


Lecture 2  (link)

Ch.2   Holomorphy and Conformality, Biholomorphic  Mappings


Lecture 3  (link)

Ch.3   Modes of Convergence in Function Theory


Lecture 4 (link)

Ch.4   Power Series


Lecture 5  (link)

Ch.5   Elementary Transcendental Functions


Lecture 6  (link)

Ch.6   Complex Integral Calculus


Lecture 7  (link)

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


Lecture 8  (link)

Ch.8   Fundamental Theorems about Holomorphic Functions


Lecture 9  (link)

Ch.9   Miscellany


Lecture 10  (link)

Ch.10   Isolated Singularities, Meromorphic Functions


Lecture 11  (link)

Ch.11   Convergent Series of Meromorphic Functions


Lecture 12  (link)

Ch.12   Laurent Series and Fourier Series


Lecture 13  (link)

Ch.13   The Residue Calculus


Lecture 14  (link)

Ch.14   Definite Integrals and the Residue Calculus


Lecture 15  (link)

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


%d bloggers like this: