Schams Complex Variables

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This book is designed for use as a supplement to all current standard texts or as a textbook for a formal course in Complex Variable Theory and applications. It should also be of considerable value to those taking courses in mathematics, physics, aerodynamics, elasticity or any of the numerous other fields in which complex variable methods are employed. Key Features Proofs of important theorems on topics such as Conformal Mapping and Jordan Lemma. Application-based problems on topics such as Riemann Equations, Cauchy?s theorem, Conformal Mapping, Lagrange?s Expansion, Residues Theorem, Rouche?s Theorem, Cauchy?s theorem and Cauchy?s-Goursat theorem, and Consequence of Cauchy?s theorem. Numerous questions from various Indian Universities and competitive exams. About The Author Murray Spiegel The Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics. Table Of Contents Complex Numbers Functions, Limits And Continuity Complex Differentiation And The Cauchy-Riemann Equations Complex Integration And Cauchy?s Theorem Cauchy?s Integral Formulae And Related Theorems Infinite Series Taylor?s And Laurent?s Series The Residue Theorem And Applications Conformal Mapping Physical Applications Of Conformal Mapping Special Topics