Quantum Field Theory | Differential Geometry of Curves and Surfaces | Differential Geometry | Advanced Mathematical Methods for Scientists and Engineers | Physics from Symmetry | Inside Interesting Integrals | Applications of Green's Functions in Science and Engineering | Partial Differential Equations for Scientists and Engineers | Partial Differential Equations of Mathematical Physics
Since publication of the first edition over a decade ago, Greenâs Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Greenâs function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art.
The book opens with necessary background information: a new chapter on the historical development of the Greenâs function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function.
The text then presents Greenâs functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Greenâs functions, each chapter contains a special section devoted to topics where Greenâs functions particularly are useful. For example, in the case of the wave equation, Greenâs functions are beneficial in describing diffraction and waves.
To aid readers in developing practical skills for finding Greenâs functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book.
Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Greenâs Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
About: Since publication of the first edition over a decade ago, Greenâs Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Greenâs function.
Pricing is shown for items sent to or within the U.S., excluding shipping and tax. Please consult the store to determine exact fees. No warranties are made express or implied about the accuracy, timeliness, merit, or value of the information provided. Information subject to change without notice. isbn.nu is not a bookseller, just an information source.