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Description
A First Course in Partial Differential Equations: With Complex Variables and Transform MethodsThis popular text was created for a one year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus. Incorporating many of the
This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus. These techniques and concepts are presented in a setting where their need is clear and their application immediate. Chapters I through IV cover the one-dimensional wave equation, linear second-order partial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Chapters V through VIII address nonhomogeneous problems, problems in higher dimensions and multiple Fourier series, Sturm-Liouville theory, and general Fourier expansions and analytic functions of a complex variable.
The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/11/1995
ISBN: 9780486686400
Pages: 480
Weight: 1.43lbs
Size: 9.21h x 6.48w x 0.91d
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★★★★★ 5
Game Changer for Wine Lovers
Color: 8-in-1 Silver, Size: Rechargeable
Circle Joy Electric Wine Bottle Opener and I’m honestly really impressed.
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Reviewed in the United States on April 16, 2026
★★★★★ 5
Great electric corkscrew
Color: 7-in-1 Silver, Size: Rechargeable
The electric corkscrew works perfectly. It makes opening wine bottles so easy. I haven’t had to recharge the device for weeks!
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Reviewed in the United States on April 6, 2026
★★★★★ 5
Best cork remover!
Color: 7-in-1 Silver, Size: Rechargeable
I love this wine bottle opener. With just a zip, the cork is out! No struggling, no breaking of the cork. Perfect. I’ve bought several for gifts.
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Reviewed in the United States on April 28, 2026
★★★★★ 5
Wine Made Easy
Color: 7-in-1 Silver, Size: Rechargeable
Excellent product and welcome addition to my kitchen. Wine opening made super easy and looks fantastic !
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Great gift
Color: 7-in-1 Silver, Size: Rechargeable
It’s really easy to use, works amazing, nice speed. It looks awesome on my counter top. Great idea for a gift!!!
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Reviewed in the United States on April 12, 2026