Useful appendixes include tables of conformal mappings and Laplace transforms, as well as solutions to odd-numbered exercises. Students and teachers alike will find this volume, with its well-organized text and clear, concise proofs, an outstanding introduction to the intricacies of complex variables.
Fisher's book is ideal for a first course in complex variables: the complex plane, geometry of the plane, analytic functions (zeros, singularities, residue computations), Cauchy-and residue theorems, harmonic functions, conformal mappings, boundary value problems, applications, and a lovely last chapter on transform theory, Fourier, Laplace etc.
Course text: Complex variables and applications, by J. Brown and R. Churchill, 8th or 9th ed., McGraw-Hill 2009 or 2013. googlebooks. Prerequisites: Math 233. Overview of course. An introduction to functions of a complex variable. Topics include: Complex numbers, functions of a complex variable and their derivatives (Cauchy-Riemann equations.
Complex Variables and Applications, eighth edition, by J.W. Brown and R.V. Churchill. The current ISBN is 9780073051949. The course covers chapters 1-10. Homeworks: A weekly homework assignment will be listed below. Quizzes: There will be a weekly quiz which you take online. Exams, Grading Policy: There will be two midterms in class each worth 20% of the total grade.There will be one final.
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Complex Variables: Second Edition, Stephen D. Fisher, Courier Dover Publications, 2012, 0486134849, 9780486134840, 448 pages. Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic.
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Complex variable solvedproblems Pavel Pyrih 11:03 May 29, 2012 ( public domain ) Contents 1 Residue theorem problems 2 2 Zero Sum theorem for residues problems 76 3 Power series problems 157 Acknowledgement.The following problems were solved using my own procedure in a program Maple V, release 5. All possible errors are my faults. 1.
The solutions of boundary value problems for Laplace’s equation arising in uid mechan-ics, heat conduction and electrostatics. Students will be expected to learn to use the methods of complex analysis with facility. Complete proofs will be presented. Students will not be expected to reproduce the harder proofs. That is the province of Math.