Partial Differential Equations and Boundary-value Problems with Applications
Mark A. Pinsky
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Description for Partial Differential Equations and Boundary-value Problems with Applications
Hardcover. Building on the basic techniques of separation of variables and Fourier series, this presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems - rectangular, cylindrical, and spherical. Series: Pure and Applied Undergraduate Texts. Num Pages: 526 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 261 x 186 x 32. Weight in Grams: 1114.
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications ... Read more
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
American Mathematical Society United States
Number of pages
526
Condition
New
Series
Pure and Applied Undergraduate Texts
Number of Pages
526
Place of Publication
Providence, United States
ISBN
9780821868898
SKU
V9780821868898
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-2
About Mark A. Pinsky
Mark A. Pinsky, Northwestern University, Evanston, IL, USA
Reviews for Partial Differential Equations and Boundary-value Problems with Applications
With more than 200 working examples and 700 exercises (more than 450 with answers) this book is suitable for an undergraduate course in PDEs." - Zentralblatt MATH "I have been one of the cheerleaders for Mark's book PDE and BVP over the years. . . . [M]ost texts for undergraduates are either too advanced or lacking mathematical rigor. Mark's ... Read more