Green's Functions with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Green's Functions with Applications by Dean G. Duffy, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Dean G. Duffy ISBN: 9781498798549
Publisher: CRC Press Publication: July 11, 2016
Imprint: Chapman and Hall/CRC Language: English
Author: Dean G. Duffy
ISBN: 9781498798549
Publisher: CRC Press
Publication: July 11, 2016
Imprint: Chapman and Hall/CRC
Language: English

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s 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 Green’s 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 Green’s 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 Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves.

To aid readers in developing practical skills for finding Green’s 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 Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s 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 Green’s 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 Green’s 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 Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves.

To aid readers in developing practical skills for finding Green’s 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 Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.

More books from CRC Press

Cover of the book Food Proteins and Their Applications by Dean G. Duffy
Cover of the book Geomechanics 93 - Strata Mechanics/ Numerical Methods/Water Jet Cutting by Dean G. Duffy
Cover of the book Seismogenic Process Monitoring by Dean G. Duffy
Cover of the book Migration Processes in the Soil and Groundwater Zone (1991) by Dean G. Duffy
Cover of the book Computational Fluid Dynamics in Food Processing by Dean G. Duffy
Cover of the book Instrument Engineers' Handbook, Volume 3 by Dean G. Duffy
Cover of the book Oceanography and Marine Biology by Dean G. Duffy
Cover of the book Managing the Laboratory Animal Facility by Dean G. Duffy
Cover of the book Nanomaterials in Energy Devices by Dean G. Duffy
Cover of the book Who Cares? by Dean G. Duffy
Cover of the book Drug Delivery by Dean G. Duffy
Cover of the book Applications of Genetics to Arthropods of Biological Control Significance by Dean G. Duffy
Cover of the book Metal Ions in Biological Systems by Dean G. Duffy
Cover of the book Unity 4 Fundamentals by Dean G. Duffy
Cover of the book Site Surveying and Levelling by Dean G. Duffy
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy