Carrello Lista desideri Login Registrati Aiuto e FAQ Buoni regalo Spedizioni
Ricerca
Books

An Introduction to Partial Differential Equations with...

An Introduction to Partial Differential Equations with MATLABTitoloAn Introduction to Partial Differential Equations with MATLAB
AutoreColeman, Matthew P.
Prezzo
Sconto -2%
€ 74,90   Spedizioni gratuite in Italia
(Prezzo € 76,43)
CategoriaMathematics: Applied
Mathematics: Differential Equations
RilegaturaHardcover
Dati669 p.; ill.
Anno2013
EditoreCRC Press
CollanaChapman & Hall/CRC Applied Mathematics and Nonlinear Science
Normalmente disponibile per la spedizione entro 5 giorni lavorativi

Aggiungi alla lista dei desideri
Prezzo di copertina: Dollari$ 89.95 (Come calcoliamo i prezzi in euro)
nectarQuesto prodotto dà diritto a 75 punti Nectar.
Per saperne di più
Condividi 
FacebookTwitterTwitterTwitterTwitter
altri
Indice e argomenti trattati
Prefacexi
Prelude to Chapter 1
1
1 Introduction
3
1.1 What are Partial Differential Equations?
3
1.2 PDEs We Can Already Solve
6
1.3 Initial and Boundary Conditions
10
1.4 Linear PDEs--Definitions
12
1.5 Linear PDEs--The Principle of Superposition
16
1.6 Separation of Variables for Linear, Homogeneous PDEs
19
1.7 Eigenvalue Problems
25
Prelude to Chapter 2
41
2 The Big Three PDEs
43
2.1 Second-Order, Linear, Homogeneous PDEs with Constant Coefficients
43
2.2 The Heat Equation and Diffusion
44
2.3 The Wave Equation and the Vibrating String
54
2.4 Initial and Boundary Conditions for the Heat and Wave Equations
59
2.5 Laplace's Equation--The Potential Equation
66
2.6 Using Separation of Variables to Solve the Big Three PDEs
71
Prelude to Chapter 3
77
3 Fourier Series
79
3.1 Introduction
79
3.2 Properties of Sine and Cosine
80
3.3 The Fourier Series
89
3.4 The Fourier Series, Continued
95
3.5 The Fourier Series--Proof of Pointwise Convergence
104
3.6 Fourier Sine and Cosine Series
117
3.7 Completeness
124
Prelude to Chapter 4
127
4 Solving the Big Three PDEs on Finite Domains
129
4.1 Solving the Homogeneous Heat Equation for a Finite Rod
129
4.2 Solving the Homogeneous Wave Equation for a Finite String
138
4.3 Solving the Homogeneous Laplace's Equation on a Rectangular Domain
147
4.4 Nonhomogeneous Problems
153
Prelude to Chapter 5
161
5 Characteristics
163
5.1 First-Order PDEs with Constant Coefficients
163
5.2 First-Order PDEs with Variable Coefficients
174
5.3 The Infinite String
180
5.4 Characteristics for Semi-Infinite and Finite String Problems
192
5.5 General Second-Order Linear PDEs and Characteristics
201
Prelude to Chapter 6
211
6 Integral Transforms
213
6.1 The Laplace Transform for PDEs
213
6.2 Fourier Sine and Cosine Transforms
220
6.3 The Fourier Transform
230
6.4 The Infinite and Semi-Infinite Heat Equations
242
6.5 Distributions, the Dirac Delta Function and Generalized Fourier Transforms
254
6.6 Proof of the Fourier Integral Formula
266
Prelude to Chapter 7
275
7 Special Functions and Orthogonal Polynomials
277
7.1 The Special Functions and Their Differential Equations
277
7.2 Ordinary Points and Power Series Solutions; Chebyshev, Hermite and Legendre Polynomials
285
7.3 The Method of Frobenius; Laguerre Polynomials
292
7.4 Interlude: The Gamma Function
300
7.5 Bessel Functions
305
7.6 Recap: A List of Properties of Bessel Functions and Orthogonal Polynomials
317
Prelude to Chapter 8
327
8 Sturm-Liouville Theory and Generalized Fourier Series
329
8.1 Sturm-Liouville Problems
329
8.2 Regular and Periodic Sturm-Liouville Problems
337
8.3 Singular Sturm-Liouville Problems; Self-Adjoint Problems
345
8.4 The Mean-Square or L2 Norm and Convergence in the Mean
354
8.5 Generalized Fourier Series; Parseval's Equality and Completeness
361
Prelude to Chapter 9
373
9 PDEs in Higher Dimensions
375
9.1 PDEs in Higher Dimensions: Examples and Derivations
375
9.2 The Heat and Wave Equations on a Rectangle; Multiple Fourier Series
386
9.3 Laplace's Equation in Polar Coordinates: Poisson's Integral Formula
402
9.4 The Wave and Heat Equations in Polar Coordinates
414
9.5 Problems in Spherical Coordinates
425
9.6 The Infinite Wave Equation and Multiple Fourier Transforms
439
9.7 Postlude: Eigenvalues and Eigenfunctions of the Laplace Operator; Green's Identities for the Laplacian
456
Prelude to Chapter 10
463
10 Nonhomogeneous Problems and Green's Functions
465
10.1 Green's Functions for ODEs
465
10.2 Green's Function and the Dirac Delta Function
484
10.3 Green's Functions for Elliptic PDEs (I): Poisson's Equation in Two Dimensions
500
10.4 Green's Functions for Elliptic PDEs (II): Poisson's Equation in Three Dimensions; the Helmholtz Equation
516
10.5 Green's Functions for Equations of Evolution
525
Prelude to Chapter 11
537
11 Numerical Methods
539
11.1 Finite Difference Approximations for ODEs
539
11.2 Finite Difference Approximations for PDEs
551
11.3 Spectral Methods and the Finite Element Method
565
A Uniform Convergence; Differentiation and Integration of Fourier Series579
B Other Important Theorems585
C Existence and Uniqueness Theorems591
D A Menagerie of PDEs601
E MATLAB Code for Figures and Exercises613
F Answers to Selected Exercises627
References647
Index655

Ricerca Ricerca avanzata
Libri
Libri in italiano
Libri in inglese
Outlet -50%
Libri scolastici
eBook
eBook
eReader
Mobile App
Musica
CD musicali
Vinili
MP3
DVD musicali
Blu-ray musicali
Film e video
DVD
Blu-ray
Giochi
Videogiochi
Giocattoli
Cartoleria e scuola
Sport e svago
Sport
Gadget e accessori
Librerie
Bergamo
Bologna
Ferrara
Firenze
Lecco
Mantova
Novara
Padova
Roma
Treviso
Il mio IBS
I miei dati
IBS Premium
I miei ordini
Lista dei desideri
Le mie preferenze
IBS consiglia
Stampa la tua card

 

Informazioni utili:
Spese e tempi di spedizione
Punti di ritiro
Invio regali
Buoni acquisto (Happy Card)
FAQ
Condizioni generali di vendita
Informativa sulla privacy
PuntiNectar

Pagamenti:
Carte di credito
Carta di credito accettate
PayPal
Paypal
Contrassegno

Come contattarci:
Invio messaggi al servizio di Assistenza Clienti
Tutti i contatti
• Telefono: +39 02 91435230
• Fax: +39 02 91435290

• Seguici su  Facebook Twitter

Servizi per i clienti:
Password dimenticata
Controllo e modifica dei propri dati
Verifica degli ordini effettuati

Opportunità per aziende e enti:
Servizi per le biblioteche
Programma di affiliazione (Informazioni generali)
Accesso alla sezione riservata Partnership Programme IBS
Accesso alla sezione riservata TradeDoubler

Concessionaria di pubblicità:



Con la collaborazione di Argento vivo per il settore editoria libraria

Ufficio stampa: Daniela Ravanetti

Altri siti del network IBS:
Libraccio.it
MYmovies.it
Wuz.it
Librerie Ubik
IBS

Internet Bookshop Italia S.r.l.
Sede Legale Via Giuseppe Verdi n.8 - 20090 Assago MI
Reg. Imprese di Milano 12252360156
R.E.A. Milano 1542508
P.IVA 12252360156
Capitale sociale € 1.054.852 i.v.
IBS è una società soggetta a direzione e coordinamento di Emmelibri srl

Copyright © 1998-2014 Internet Bookshop Italia, tutti i diritti riservati

Licenza SIAE n. 229/I/05-359.


Funzione di ricerca basata su FACT®Finder di OMIKRON

 


IBS