Overview
* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
Full Product Details
Author: Fabrizio Colombo ,
Irene Sabadini ,
Franciscus Sommen ,
Daniele C. Struppa
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: Softcover reprint of the original 1st ed. 2004
Volume: 39
Dimensions:
Width: 15.50cm
, Height: 1.80cm
, Length: 23.50cm
Weight: 0.539kg
ISBN: 9781461264699
ISBN 10: 1461264693
Pages: 332
Publication Date: 04 October 2012
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews: The book presents a uniform treatment of some fundamental differential equations for physics. Maxwell and Dirac equations are particular examples that fall into this study. The authors concentrate on systems of linear partial differential equations with constatn coefficients n the Clifford algebra setting...The material is presented in a very accessible format...The book ends with a list of open problems that pertain to the topic. ---Internationale Mathematische Nachrichten, Nr. 201 The first 138 pages of this book are a good introduction to algebraic analysis (in the sense of Sato), and some computational aspects, in the setting of quaternionic analysis. But the core of the book is the study of different important systems of partial differential equations in the setting of Clifford analysis...The last chapter states some open problems and avenues of further research. A rich list of references, an alphabetic index and a list of notation close the volume. Well-written and with many explicit results, the book is interesting and is addressed to Ph.D. students and researchers interested in this field. ---Revue Roumaine de Mathematiques Pures et Appliquees Altogether the book is a pioneering, and quite successful, attempt to apply computational and algebraic techniques to several branches of hypercomplex analysis ... The book provides a very different way to look at some important questions which arise when one tries to develop multi-dimensional theories. (MATHEMATICAL REVIEWS)
From the reviews: The book presents a uniform treatment of some fundamental differential equations for physics. Maxwell and Dirac equations are particular examples that fall into this study. The authors concentrate on systems of linear partial differential equations with constatn coefficients n the Clifford algebra setting...The material is presented in a very accessible format...The book ends with a list of open problems that pertain to the topic. ---Internationale Mathematische Nachrichten, Nr. 201 The first 138 pages of this book are a good introduction to algebraic analysis (in the sense of Sato), and some computational aspects, in the setting of quaternionic analysis. But the core of the book is the study of different important systems of partial differential equations in the setting of Clifford analysis...The last chapter states some open problems and avenues of further research. A rich list of references, an alphabetic index and a list of notation close the volume. Well-written and with many explicit results, the book is interesting and is addressed to Ph.D. students and researchers interested in this field. ---Revue Roumaine de Mathematiques Pures et Appliquees Altogether the book is a pioneering, and quite successful, attempt to apply computational and algebraic techniques to several branches of hypercomplex analysis ... The book provides a very different way to look at some important questions which arise when one tries to develop multi-dimensional theories. (MATHEMATICAL REVIEWS)
