Applied Complex Analysis with Partial Differential Equations. Nakhle H. Asmar, University of Missouri, Columbia. © |Pearson | Out of print. Share this page. Shop our inventory for Applied Complex Analysis with Partial Differential Equations by Nakhle H. Asmar with fast free shipping on every used book we have in. , English, Book, Illustrated edition: Applied complex analysis with partial differential equations / Nakhlé H. Asmar with the assistance of Gregory C. Jones.

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You have selected a pack ISBN which is not available to order as an examination copy. You have requested access to a digital product. For Introductory courses on Complex Analysis or Complex Analysis and Partial Differential Equations for engineering, physics, and mathematics students with a calculus background.

This student-friendly text presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples and graphics make this text a comprehensive and visually appealing resource for students, as well as a quick reference tool for engineers and physicists.

Covers basic equations of engineering and physics while giving students a solid introduction to this mathematical topic. Using Fourier series to solve Dirichlet esuations creates a clear connection with harmonic functions. Trigonometric and Hyperbolic Functions.

Regions of the Complex Plane. Harmonic Functions and Laplace’s Equation. Supplement on Calculus of Functions of Several Variables.

Differentiation of Functions of Several Variables. Contours and Paths in the Complex Plane. Proof of Cauchy’s Integral Theorem. Bounds for Moduli of Analytic Functions. Applications to Harmonic Functions.

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Sequences and Series of Complex Numbers. Sequences and Series of Functions. Harmonic Functions and Fourier Series. Definite Integrals of Trigonometric Functions.

Advanced Integrals by Residues. Summing Series by Residues.

The Counting Theorem and Rouche’s Theorem. Solving Dirichlet Problems with Conformal Mappings. Poisson’s Equation and Neumann Problems. Fourier Series With Arbitrary Period.

Complex Form of Fourier Series. Proof of the Fourier Representation Theorem. Partial Differential Equations in Physics and Engineering. Solution of the One Dimensional Wave Equation: The Method of Separation of Variables.


The One Dimensional Heat Equation. Heat Conduction in Bars: Varying the Boundary Conditions. Two Dimensional Wave and Heat Equations.

Applied Complex Analysis with Partial Differential Equations by Nakhle Asmar

Laplace’s Equation in Rectangular Coordinates. The Method of Eigenfunction Expansions. Neumann Problems and Robin Conditions. Laplace’s Equation in Polar Coordinates. Vibrations of a Circular Membrane: Steady-State Temperature in a Cylinder.

Asmar, Applied Complex Analysis with Partial Differential Equations | Pearson

The Helmholtz and Poisson Equations. Supplement on Bessel Functions and Series Expansions. Bessel’s Equation and Bessel Functions.

Preview of Problems and Methods. Dirichlet Problems with Symmetry. Spherical Harmonics and the General Dirichlet Problem. Supplement on Legendre Functions and Series Expansions.

Legendre’s Differential Equation and Legendre Polynomials. Associated Legendre Functions cpmplex Series Expansions. The Fourier Transform Method. The Heat Equation and Gauss’s Kernel. The Poisson Integral and the Hilbert Transform. The Fourier Cosine and Sine Transforms. Problems Involving Semi-Infinite Intervals.

Further Properties of the Laplace Transform. The Laplace Transform Method. The Hankel Transform with Applications. Linear Diffrential Differential Equations. Methods for Solving Ordinary Differential Equations.

The Method of Power Series. The Method of Frobenius. Asmar received his Ph. D in mathematics from the University of Washington in After spending two years on the faculty of California State University, Long Beach, he joined the University of Missouri, Columbia inwhere he is currently Professor of Mathematics. He is also the author or co-author of over forty anapysis articles in the areas of harmonic dquations, Fourier series, and functional analysis. His research received support from the National Science Foundation U.

He has received several teaching awards from the University of Missouri, including the William T. The author can be ajalysis by e-mail at the following address: Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you’re interested in creating a cost-saving package for your students contact your Pearson Account Manager.

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You have selected an online exam copy, you will be re-directed to the VitalSource website where you can complete your request View online at VitalSource. Download resources Buy this product Students, buy access Additional options.

Features The most geometric presentation ever of complex analysis with over figures. Provides visual reinforcement of material for better student comprehension. Allows for quick access to the applications and invites the use of technology.

Early introduction of conformal mappings with applications to the solution of Dirichlet problems Chapter 2.