This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.
This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.
Richard Norton received his PhD from the University of Pennsylvania in 1958. After a few years as a Research Fellow at CalTech (California Institute of Technology), he joined the faculty of the Physics department at UCLA in 1962, where he remained until he retired in 1971. During that period he spent several sabbatical years at the École Polytechnique in Paris (now at Palaiseau) and one year at the University of Paris at Orsay with a Guggenheim fellowship. His principal research interests were elementary particle theory and quantum field theory. From 1976 to 1885 be worked primarily in the area of relativistic many body systems. He died in 2009.
Inhaltsangabe
1: Complex Numbers 2: Complex Functions 3: Differentiation and Analyticity 4: Complex Functions as Mappings 5: Closed Contours and Homology 6: Integration 7: Cauchy's Integral Formula 8: Multiply Connected Domains 9: Power Series 10: Sequences, Series, and Infinite Products 11: Isolated Singularities 12: The Residue Theorem 13: Real Integrals 14: Infinite Sums 15: Factoring Entire and Meromorphic Functions 16: Method of Steepest Descent 17: Integral Representations of the Gamma and Zeta Functions 18: Special Functions and Integral Representations
1: Complex Numbers 2: Complex Functions 3: Differentiation and Analyticity 4: Complex Functions as Mappings 5: Closed Contours and Homology 6: Integration 7: Cauchy's Integral Formula 8: Multiply Connected Domains 9: Power Series 10: Sequences, Series, and Infinite Products 11: Isolated Singularities 12: The Residue Theorem 13: Real Integrals 14: Infinite Sums 15: Factoring Entire and Meromorphic Functions 16: Method of Steepest Descent 17: Integral Representations of the Gamma and Zeta Functions 18: Special Functions and Integral Representations
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