Theory of Complex Functions
A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.
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2 Fundamental topological concepts
6 Connected spaces Regions in C
3 Holomorphic functions
4 Partial differentiation with respect to x y z and z
Holomorphy and Conformality Biholomorphic Mappings
CauchyWeierstrassRiemann Function Theory
3 The Cauchy estimates and inequalities for Taylor coefficients
4 Convergence theorems of WeIERSTRASS
5 The open mapping theorem and the maximum principle
3 Holomorphic logarithms and holomorphic roots
6 Asymptotic power series developments
Isolated Singularities Meromorphic Functions
2 Biholomorphic mappings
Modes of Convergence in Function Theory
2 Convergence criteria
Chapter 4 Power Series
2 Examples of convergent power series
3 Holomorphy of power series
4 Logarithm functions
5 Discussion of logarithm functions
Part B The Cauchy Theory
The Integral Theorem Integral Formula and Power Series
2 Cauchys Integral Formula for discs
3 The development of holomorphic functions into power series
4 Discussion of the representation theorem
5 Special Taylor series Bernoulli numbers
2 Automorphisms of punctured domains
Convergent Series of Meromorphic Functions
4 The Eisenstein theory of the trigonometric functions
Laurent Series and Fourier Series
2 Properties of Laurent series
4 The theta function
The Residue Calculus
2 Consequences of the residue theorem
Chapter 14 Definite Integrals and the Residue Calculus
Short Biographies oAbel Cauchy Eisenstein Euler Riemann
Remmert, Reinhold: Theory of Complex Functions, (translated by ...
Theory of Complex Functions, (translated by Robert Burke]). Springer-Verlag, New York. -. Berlin. -. Heidelberg. 1991,. Graduate Texts in Mathematics, ...
doi.wiley.com/ 10.1002/ bimj.4710330703
Complex Analysis Reading List
: Reinhold Remmert, Theory of complex functions, Graduate Texts in Mathematics, Readings in Mathematics , vol. 122, Springer-Verlag, New York, Berlin, ...
oregonstate.edu/ ~peterseb/ mth514/ docs/ 515books.html
We will draw material from all chapters of the text. Theory of Complex Functions. by Reinhold Remmert,. Springer-Verlag , 1991, ISBN 0-387-97195-5 ...
www.sci.wsu.edu/ math/ faculty/ watkins/ Math503/ topics.html
Phys. Rev. E 69, 021803 (2004): Olemskoi et al. - Supersymmetry ...
22 R. Remmert, Theory of Complex Functions Springer, New York, 1991 . c 23 Strictly speaking, the above definition c(n) c(n) Ż of fluctuations is applicable ...
link.aps.org/ doi/ 10.1103/ PhysRevE.69.021803
Remmert R.: Theory Of Complex Functions | ISBN: 9780387971957 ...
Theory Of Complex Functions. Springer-Verlag New York Inc. (United States), 1999 Hardback, 472 stran Velikost: 234x156 mm ISBN: 9780387971957 (0387971955) ...
www.bookfayre.cz/ books/ item/ 9780387971957.html.cs
Theory of complex functions. Reinhold Remmert ; translated by Robert B. Burckel. New York : Springer-Verlag, ©1991. xix, 453 págs. : ilustraciones ; 25 cm. ...
catalis.uns.edu.ar/ cgi-bin/ catalis_pack_demo_devel/ wxis?IsisScript=opac/ xis/ opac.xis&
122 Theory of Complex Functions Remmert, Burckel 123 Numbers Lamotke, Ewing, Ebbinghaus et. al. 124 Modern Geometry - Methods and Applications Dubrovin, ...
Theory of complex functions. Readings in mathematics, Springer, 1991. 8. G. Sansone & J. Gerretsen. Lectures on the theory of function of a complex variable ...
www.mat.puc-rio.br/ ~earp/ Vcomplex/ final.html
Theory of complex functions / 저자/편저자 Reinhold Remmert ...
Theory of complex functions /. 저자/편저자. Reinhold Remmert ; translated by Robert B. Burckel./. 출판사. New York : Springer-Verlag, c1991. ...
www.mathnet.or.kr/ mathnet/ book_info.php?no=5691
reinhold remmert libri - I Libri dell'autore: Reinhold Remmert ...
Theory of Complex Functions · Theory of Complex Functions di Reinhold Remmert - Springer - December 1998. Prezzo: € 90.39 ...