| Description |
1 online resource (xviii, 724 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Summary |
"The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more rominence. The book structure does not require sequential reading: each chapter is elf-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation"--Provided by publisher. |
| Bibliography |
Includes bibliographical references (pages 699-706) and index. |
| Contents |
The classical field equations -- Some simple preliminaries -- Fourier series: applications -- Fourier transform: applications -- Laplace transform: applications -- Cylindrical systems -- Spherical systems -- Sequences and series -- Fourier series: theory -- The Fourier and Hankel transforms -- The Laplace transform -- The Bessel equation -- The Legendre equation -- Spherical harmonics -- Green's functions: ordinary differential equations -- Green's functions: partial differential equations -- Analytic functions -- Matrices and finite-dimensional linear spaces -- Infinite-dimensional spaces -- Theory of distributions -- Linear operators in infinite-dimensional spaces. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Mathematics.
|
|
Mathematics. |
| Genre/Form |
Electronic books.
|
|
Electronic book.
|
| Other Form: |
Print version: Prosperetti, Andrea. Advanced mathematics for applications. Cambridge, UK ; New York : Cambridge University Press, 2011 9780521515320 (DLC) 2010039192 (OCoLC)667990313 |
| ISBN |
9780511918865 (electronic book) |
|
0511918860 (electronic book) |
|
9780511777530 (electronic book) |
|
0511777531 (electronic book) |
|
9780511915093 (electronic book) |
|
0511915098 (electronic book) |
|
1282917404 |
|
9781282917408 |
|
9780521515320 (hardback) |
|
0521515327 (hardback) |
|
9780521735872 (paperback) |
|
0521735874 (paperback) |
| Standard No. |
9786612917400 |
|
