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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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 conplex to solve Dirichlet problems creates a clear connection with harmonic functions. Complex Numbers and 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. Sequences and Series of Complex Numbers. Sequences and Equationns 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.
In this section:
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. Laplace’s Equation in Rectangular Coordinates. The Method of Eigenfunction Expansions. analywis
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Neumann Problems and Robin Conditions. Laplace’s Diffwrential in Polar Coordinates. Vibrations of a Circular Membrane: Steady-State Temperature in a Cylinder. 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 and 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.
Applied Complex Analysis with Partial Differential Equations by Nakhle Asmar
Further Properties of the Laplace Transform. The Laplace Transform Method. The Hankel Transform with Applications. Linear Ordinary Differential Equations. Methods for Solving Ordinary Differential Equations.
Asmar, Applied Complex Analysis with Partial Differential Equations | Pearson
The Method of Power Series. The Method of Frobenius. Pearson offers special pricing when you package asmzr text with other student resources. If you’re interested in creating a cost-saving package for your students, contact your Pearson rep.
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 research articles in the areas of harmonic analysis, 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 contacted by e-mail at the following address: We don’t recognize your username or password. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. You have successfully signed out and will be required to sign back in should you need to download more resources.
Asmar, University of Missouri, Columbia. If You’re an Educator Additional order info. If You’re a Student Additional order info. Description For Introductory courses on Complex Analysis or Complex Analysis and Partial Differential Equations for engineering, physics, and mathematics students with a calculus background.
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 asmarr of technology. Early introduction of conformal mappings with applications to the solution of Dirichlet problems Chapter equztions. Complete proof of Cauchy’s theorem.
Packed with examples of varying levels —Includes hints to make accessible to all students. Allows students to gradually build to more complex problems. Familiarize students with noteworthy results and applications. Enables students to focus on key concepts. These insights are placed at convenient places for the reader.
Table of Contents 1. About the Author s. Sign In We’re sorry! Username Password Forgot your username or password? Sign Up Already have an access code? Instructor resource file download The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Signed out You have successfully signed out and will be required to sign back in should you need to download more resources.