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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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★★★★★ 3
Stains easily. Tight for men's size 11 feet
Flavor Name: XL silicone socks 2 pairs, Flavor Name: XL silicone socks 2 pairs
Husband wore dark cotton socks over these gel foot covers overnight and the covers picked up color from the socks. Tried hand washing, even dabbing with a bleach soaked paper towel, but the stains remained. The covers are a bit tight for men's size 11. Edit: After a few more hand washings the stains began to fade. However one tore around the leg opening when taking it off.
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Reviewed in the United States on August 10, 2024
★★★★★ 1
Worthless. Tore on first use.
Flavor Name: XL silicone socks 2 pairs
The first time I put these on my feet, the whole toe broke right through. They were a proper fit and my feet are well pedicured. Just very poor quality. I don’t recommend.
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Reviewed in the United States on August 2, 2024
★★★★★ 5
Best fit!
Flavor Name: XL silicone socks 2 pairs
Search no further, these are the BEST! They are smazing at conforming to the shape of your feet. They fit snuggly with no sags/bags or uncomfortable pressure or squeezing of your toes.
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Reviewed in the United States on March 8, 2025
★★★★★ 4
Helps dry, cracked feet
Flavor Name: XL silicone socks 2 pairs
We use these on my husband’s cracked feet in the winter and put on a thick cream under these socks. They are nice because hair, dirt and that kind of stuff doesn’t stick to the outside. I do wish them came in more sizes and colors. They were a little small for my husband, but still worked good enough. My husband isn’t thrilled about wearing pink socks around the house. At least it’s just around the house and not out in public though.
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Reviewed in the United States on March 6, 2025
★★★★★ 5
Be aware! Once they are on, do not walk! 😂
Flavor Name: XL silicone socks 2 pairs
I absolutely love these things. But the first time I put them on in the living room. The walk to my bedroom was VERY interesting 😂😂😂 I now know I need to put them on and hang out for a bit, or simply go to bed. They do exactly what I need them to do. Feet feel great afterwards! With the right lotion, only need to use one every couple of weeks.
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Reviewed in the United States on January 10, 2025