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Theory of complex functions

Author: Reinhold Remmert; R B Burckel
Publisher: New York : Springer-Verlag, ©1991.
Series: Graduate texts in mathematics, 122.; Graduate texts in mathematics., Readings in mathematics.
Edition/Format:  Print book  Archival Material : English
Summary:
The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from  Read more...
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Material Type: Internet resource
Document Type: Book, Archival Material, Internet Resource
All Authors / Contributors: Reinhold Remmert; R B Burckel
ISBN: 0387971955 9780387971957 3540971955 9783540971955
OCLC Number: 21118309
Language Note: Translation of: Funktionentheorie I. 2nd edition.
Notes: Translation of: Funktionentheorie I. 2nd ed.
Description: xix, 453 pages : illustrations ; 25 cm.
Contents: Historical Introduction --
Chronological Table --
Pt. A. Elements of Function Theory: --
Ch. 0. Complex numbers and continuous functions --
Ch. 1. Complex-differential calculus --
Ch. 2. Holomorphy and conformality. Biholomorphic mappings --
Ch. 3. Modes of convergence in function theory --
Ch. 4. Power series --
Ch. 5. Elementary transcendental functions --
Pt. B. The Cauchy Theory: Ch. 6. Complex integral calculus --
Ch. 7. The integral theorem, integral formula and power series development --
Pt. C. Cauchy-Weierstrass-Riemann Function Theory: Ch. 8. Fundamental theorems about holomorphic functions --
Ch. 9. Miscellany --
Ch. 10. Isolated singularities, meromorphic functions --
Ch. 11. Convergent series of meromorphic functions --
Ch. 12. Laurent series and fourier series --
Ch. 13. The residue calculus --
Ch. 14. Definite integrals and the residue calculus --
Short biographies of Abel, Cauchy, Einstein, Euler, Riemann and Weierstrass.
Series Title: Graduate texts in mathematics, 122.; Graduate texts in mathematics., Readings in mathematics.
Other Titles: Funktionentheorie.
Responsibility: Reinhold Remmert ; translated by Robert B. Burckel.
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A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout.  Read more...

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R. Remmert and R.B. BurckelTheory of Complex Functions"Its accessibility makes it very useful for a first graduate course on complex function theory, especially where there is an opportunity for Read more...

 
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<http:\/\/www.worldcat.org\/oclc\/21118309<\/a>> # Theory of complex functions<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0\nbgn:translationOfWork<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/21118309#CreativeWork\/unidentifiedOriginalWork<\/a>> ; # Funktionentheorie. 1.<\/span>\n\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"21118309<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/31_42_functions_of_one_complex_variable<\/a>> ; # 31.42 functions of one complex variable<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theorie_cauchy<\/a>> ; # th\u00E9orie Cauchy<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/fonctions_de_plusieurs_variables_complexes<\/a>> ; # Fonctions de plusieurs variables complexes<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/fonction_complexe<\/a>> ; # fonction complexe<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/fonction_variable_complexe<\/a>> ; # fonction variable complexe<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/fonctions_d_une_variable_complexe<\/a>> ; # Fonctions d\'une variable complexe<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/515.9\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theoreme_weierstrass<\/a>> ; # th\u00E9or\u00E8me Weierstrass<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theoreme_riemann<\/a>> ; # th\u00E9or\u00E8me Riemann<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/functions_of_complex_variables<\/a>> ; # Functions of complex variables<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theorie_fonction<\/a>> ; # th\u00E9orie fonction<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Person\/remmert_reinhold<\/a>> ; # Reinhold Remmert<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Person\/burckel_r_b_1939<\/a>> ; # R. B. Burckel<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1991<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from being a mere history of function theory. Even experts will find here few new or long forgotten gems, like Eisenstein\'s novel approach to the circular functions. This book is destined to accompany many students making their way into a classical area of mathematics which represents the most fruitful example to date of the intimate connection between algebra and analysis. For exam preparation it offers quick access to the essential results and an abundance of interesting inducements. Teachers and interested mathematicians in finance, industry and science will also find reading it profitable, again and again referring to it with pleasure.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Historical Introduction -- Chronological Table -- Pt. A. Elements of Function Theory: -- Ch. 0. Complex numbers and continuous functions -- Ch. 1. Complex-differential calculus -- Ch. 2. Holomorphy and conformality. Biholomorphic mappings -- Ch. 3. Modes of convergence in function theory -- Ch. 4. Power series -- Ch. 5. Elementary transcendental functions -- Pt. B. The Cauchy Theory: Ch. 6. Complex integral calculus -- Ch. 7. The integral theorem, integral formula and power series development -- Pt. C. Cauchy-Weierstrass-Riemann Function Theory: Ch. 8. Fundamental theorems about holomorphic functions -- Ch. 9. Miscellany -- Ch. 10. Isolated singularities, meromorphic functions -- Ch. 11. Convergent series of meromorphic functions -- Ch. 12. Laurent series and fourier series -- Ch. 13. The residue calculus -- Ch. 14. 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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Person\/remmert_reinhold<\/a>> # Reinhold Remmert<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Remmert<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Reinhold<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Reinhold Remmert<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Series\/graduate_texts_in_mathematics<\/a>> # Graduate texts in mathematics.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/21118309<\/a>> ; # Theory of complex functions<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Graduate texts in mathematics.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Graduate texts in mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/fonctions_d_une_variable_complexe<\/a>> # Fonctions d\'une variable complexe<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fonctions d\'une variable complexe<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fonctions d\'une variable complexe<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theoreme_riemann<\/a>> # th\u00E9or\u00E8me Riemann<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"th\u00E9or\u00E8me Riemann<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8907664170#Topic\/theoreme_weierstrass<\/a>> # th\u00E9or\u00E8me Weierstrass<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"th\u00E9or\u00E8me Weierstrass<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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