T�tulo: Solve Nonlinear Systems of PDEs by Order Completion: Can There Be a General Nonlinear PDE Theory for Existence and Regularity of Solutions ?
Editor: Createspace Independent Publishing Platform
Fecha de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 1503334805
ISBN 13: 9781503334809
Encuadernaci�n: Paperback / softback
Estado: New
Peso: 277 gramos

Acerca de

Sinopsis

Contrary to widespread perception, there has ever since 1994 been a unified, general, that is, type independent theory for the existence and regularity of solutions for very large classes of nonlinear systems of PDEs, with possibly associated initial and/or boundary value problems, see [21,22], and for further developments [1-3,47-56,58,64-66]. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the respective PDEs. All the solutions obtained have a blanket, universal, minimal regularity property, namely, they can be assimilated with usual measurable functions or even with Hausdorff continuous functions on the respective Euclidean domains. It is important to note that the use of the order completion method does not require any monotonicity conditions on the nonlinear systems of PDEs involved. One of the major advantages of the order completion method is that it eliminates the algebra based dichotomy "linear versus nonlinear" PDEs, treating both cases equally. Furthermore, the order completion method does not introduce the dichotomy "monotonous versus non-monotonous" PDEs. None of the known functional analytic methods can exhibit such a powerful general performance, since in addition to topology, such methods are significantly based on algebra, and vector spaces do inevitably differentiate between linear and nonlinear entities. The power of the order completion method is also shown in its ability to solve equations far more general than PDEs, and give in fact necessary and sufficient conditions for the existence of their solutions, as well as explicit expressions for the solutions obtained. In the case of PDEs, another advantage of the order completion method is that in treating initial and/or boundary value problems it avoids the considerable additional difficulties which the usual functional analytic methods encounter. Nevertheless, there are certain basic connections and similarities between the usual functional analytic methods in solving PDEs, and on the other hand, the order completion method. And in fact, the ancient equation x^2 = 2 which had two and a half millennia ago created such a terrible conundrum for Pythagoras, has ultimately been solved by a simple version of the order completion method. Indeed, its irrational solution was obtained in the set R of real numbers, while that set itself was obtained by the Dedekind order completion of the set Q of rational numbers, when that latter set is considered with its natural order relation.

Acerca del autor

Emer. Prof. Elemer Elad Rosinger has been visiting, or spent time for longer periods, at numerous universities on five continents. For a while by now, he has been a member of the Department of Mathematics and Applied Mathematics at the University of Pretoria, South Africa. Originally, he is from Transylvania, in Europe. Prof. Rosinger's research is in a number of fields in mathematics and physics. Among others, he introduced two nonlinear theories for solving large classes of nonlinear PDEs. One of them is listed under 46F30 by the American Mathematical Society. The second one is based on the order completion of spaces of smooth functions. He also gave in 1998 the first complete solution to Hilbert's Fifth Problem, which was outstanding ever since its formulation in 1900. Prof. Rosinger has published about two hundred papers and a dozen books, most of them in science. Some of the papers and books may usually be seen as dealing with philosophy, if only one could ever give a good enough definition for that human venture ... But then, the reach and ability of definitions are very limited, indeed. As for instance illustrated by the saying : "I can't tell what a good wine is, but certainly recognize one when I drink one ..." Fortunately, mathematics is one of those few realms of both great charm and importance where many things, nearly all things, can be defined precisely ... And still, it is quite possible to get a genuine and better kind of "high", even if not exactly drunk, by mathematics ... eerosinger@hotmail.com

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

The Saint Bookstore has a range of over 1 million titles available.

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

SB ONLINE LTD
50 Devonshire Road, Southport, PR9 7BZ, United Kingdom

Condiciones de venta y env�o

Condiciones de venta

Please order through the Abebooks checkout. We only take orders through Abebooks - We don't take direct orders by email or phone.

Refunds or Returns: A full refund of the purchase price will be given if returned within 30 days in undamaged condition.

As a seller on abebooks we adhere to the terms explained at http://www.abebooks.co.uk/docs/HelpCentral/buyerIndex.shtml - if you require further assistance please email us at orders@thesaintbookstore.co.uk

Derecho a cancelaci�n

Si eres un consumidor puedes cancelar el presente contrato de acuerdo con lo indicado a continuaci�n. Son consumidores las personas f�sicas que act�en con un prop�sito ajeno a su actividad comercial, empresarial, oficio o profesi�n.

Documento de informaci�n al consumidor y usuario sobre el desistimiento

Derecho de desistimiento:

Tienes derecho a desistir del presente contrato en un plazo de 14 d�as naturales sin necesidad de justificaci�n.

El plazo de desistimiento expirar� a los 14 d�as naturales del d�a en que t� o un tercero que hayas indicado, distinto del transportista, adquiera la posesi�n material del �ltimo bien, componente o pieza.

Para ejercer el derecho de desistimiento, deber�s notificarnos a THE SAINT BOOKSTORE, 50 Devonshire Road, PR9 7BZ, Southport, United Kingdom, 44 17042241479, de tu decisi�n de desistir del contrato a trav�s de una declaraci�n inequ�voca (por ejemplo, una carta enviada por correo postal, fax o correo electr�nico). Podr�s utilizar el modelo de formulario de desistimiento que figura a continuaci�n, aunque su uso no es obligatorio. Tienes asimismo la opci�n de cumplimentar y enviar electr�nicamente el modelo de formulario de desistimiento o cualquier otra declaraci�n inequ�voca a trav�s de nuestro sitio web a "Mis pedidos" en "Mi cuenta". Si recurres a esta opci�n, te comunicaremos sin demora en un soporte duradero (por ejemplo, por correo electr�nico) la recepci�n de dicho desistimiento.

Para cumplir el plazo de desistimiento, basta con que la comunicaci�n relativa al ejercicio por tu parte de este derecho sea enviada antes de que venza el plazo correspondiente.

Consecuencias del desistimiento:

En caso de desistimiento por tu parte, te devolveremos todos los pagos recibidos de ti, incluidos los gastos de entrega (con la excepci�n de los gastos adicionales resultantes de la elecci�n por tu parte de una modalidad de entrega diferente a la modalidad menos costosa de entrega ordinaria que ofrezcamos) sin ninguna demora indebida y, en todo caso, a m�s tardar 14 d�as naturales a partir de la fecha en la que se nos informes de tu decisi�n de desistir del presente contrato. Procederemos a efectuar dicho reembolso utilizando el mismo medio de pago empleado por ti para la transacci�n inicial, a no ser que hayas dispuesto expresamente lo contrario; en todo caso, no incurrir�s en ning�n gasto como consecuencia del reembolso.

Podremos retenerte el reembolso hasta haber recibido los bienes, o hasta que hayas presentado una prueba de la devoluci�n de los mismos, seg�n qu� condici�n se cumpla primero. Deber�s devolvernos o entregarnos directamente los bienes a THE SAINT BOOKSTORE, 50 Devonshire Road, PR9 7BZ, Southport, United Kingdom, 44 17042241479, sin ninguna demora indebida y, en cualquier caso, a m�s tardar en el plazo de 14 d�as naturales a partir de la fecha en que nos comuniques tu decisi�n de desistimiento del contrato. Se considerar� cumplido el plazo si efect�as la devoluci�n de los bienes antes de que haya concluido dicho plazo. Deber�s asumir el coste directo de devoluci�n de los bienes. Solo ser�s responsable de la disminuci�n de valor de los bienes resultante de una manipulaci�n distinta a la necesaria para establecer la naturaleza, las caracter�sticas y el funcionamiento de los bienes.

Excepciones al derecho de desistimiento:

La entrega de peri�dicos, publicaciones especializadas o revistas con la excepci�n de contratos de suscripci�n; y
La entrega de contenido digital (incluyendo apps, software digital e-books, MP3, etc.) que no hubiera sido entregado en un medio tangible (por ejemplo: CD o DVD), si al realizar tu pedido has aceptado que podemos proceder al env�o del producto y que no resulta posible su cancelaci�n una vez comienza la entrega.

Modelo de formulario de desistimiento

(S�lo debe cumplimentar y enviar el presente formulario si desea desistir del contrato)

A la atenci�n de: (THE SAINT BOOKSTORE, 50 Devonshire Road, PR9 7BZ, Southport, United Kingdom, 44 17042241479)

Por la presente le comunico/comunicamos* que desisto de mi/desistimos de nuestro* contrato de venta del siguiente bien/prestaci�n del siguiente servicio*

Pedido el/recibido el*:

Nombre del consumidor y usuario o de los consumidores y usuarios:

Domicilio del consumidor y usuario o de los consumidores y usuarios:

Firma del consumidor y usuario o de los consumidores y usuarios (solo si el presente formulario se presenta en papel):

Fecha:

* Eliminar en su caso

Condiciones de env�o

Most orders usually ship within 1-3 business days, but some can take up to 7 days.

Tarifas de env�o de Reino Unido a Estados Unidos de America

Tarifas de env�o de Reino Unido a Estados Unidos de America
Cantidad del pedido	De 7 a 28 d�as h�biles	De 7 a 28 d�as h�biles
Primer art�culo	EUR 15.63	EUR 17.94

Los plazos de entrega los establecen los vendedores y var�an seg�n el transportista y la ubicaci�n. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relaci�n con cargos adicionales para cubrir cualquier aumento en los costes de env�o de los art�culos.