MARC details
000 -Record Label |
fixed length control field |
03154nam a22002775i 4500 |
005 - Identificador da versão |
control field |
20210601131030.0 |
010 ## - ISBN - International Standard Book Number |
Número (ISBN) |
978-3-319-02099-0 |
Modalidade de aquisição e/ou preço |
compra |
100 ## - Entrada principal |
Dados gerais de processamento |
20150401d2014 k||y0pory50 ba |
101 ## - Língua do documento |
Língua do texto, banda sonora, etc. |
eng |
102 ## - País da publicação |
País de publicação |
Germany |
200 ## - Título |
Título próprio |
Introduction to partial differential equations |
Indicação geral da natureza do documento |
Documento electrónico |
Primeira menção de responsabilidade |
Peter J. Olver |
210 ## - Local de edição |
Lugar da edição, distribuição, etc. |
Cham |
Nome do editor, distribuidor, etc. |
Springer International Publishing |
Data da publicação, distribuição, etc. |
2014 |
215 ## - Descrição física (Vol.pg.fl.tm.fsc) |
Descrição física |
XXV, 635 p. |
Outras indicações físicas |
il. |
225 ## - Coleção |
Título próprio da colecção |
Undergraduate Texts in Mathematics |
300 ## - Notas gerais |
Texto da nota |
Colocação: Online |
303 ## - Notas Informação descritiva |
Texto da nota |
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra. A Solutions Manual for instrucors is available by clicking on "Selected Solutions Manual" under the Additional Information section on the right-hand side of this page. |
606 ## - Nome comum como assunto |
Koha Internal code |
3647 |
Elemento de entrada |
Equações diferenciais parciais |
680 ## - Classificação Biblioteca Congresso |
Notação |
QA374 |
700 ## - Autor (resp. principal) |
Koha Internal Code |
59254 |
Palavra de ordem |
Olver |
Outra parte do nome |
Peter J. |
801 ## - Fonte de origem |
País |
Portugal |
Regras de catalogação |
RPC |
856 ## - URL Endereço WEB |
URL |
http://dx.doi.org/10.1007/978-3-319-02099-0 |
942 ## - Elementos de entrada adicionados (Koha) |
Fonte da classificação ou esquema de estante |
Library of Congress Classification |
Tipo de item no Koha |
E-Books |
Suprimido |
0 |