Complex Analysis

List of contents

Complex Numbers; Arguments and Polar Forms of Complex Numbers; Exponentials, Powers and Roots; Functions of a Complex Variable; Holomorphic Functions and Cauchy-Riemann Equations; The Exponential, Trigonometric and Hyperbolic Functions; Logarithms, Complex Powers, Branches and Cuts; Contour Integrals and Path Independence; Cauchy's Integral Theorems; Cauchy's Integral Formulas; Taylor Series and Power Series; Laurent Series and Isolated Singularities; Residues; Trigonometric Integrals: Cauchy Principal Values of Improper Integrals; Fourier Transforms of Rational Functions; Singular Integrals; Integrals on Branch Cuts; Biholomorphisms; Zeros, Maximum Modulus Principle and Schwarz's Lemma; Aut(D) and SU(1,1); Aut(H), SL(2,R) and the Iwasawa Decomposition; Harmonic Functions and the Schwarz Problem on D.

Product details

• Authors: Wong Man-wah, M. W. Wong, Man-Wah Wong
• Publisher: World Scientific
• Languages: English
• Product format: Hardback
• Released: 01.01.2008
• No. of pages: 160
• Dimensions: 155 mm x 231 mm x 15 mm
• Weight: 408 g
• Series: Series on Analysis, Applicatio
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis