Ulteriori informazioni
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Graduate students and researchers in mathematics will benefit from this book. Researchers in engineering and physics might also find it helpful.
Riassunto
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Graduate students and researchers in mathematics will benefit from this book. Researchers in engineering and physics might also find it helpful.
Testo aggiuntivo
From the reviews:"The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. … This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements." (Guillaume Bal, Mathematical Reviews, Issue 2009 f)“The present book deals with one of the most interesting topics in the theory of inverse problems … . any chapter of the volume contains an interesting section devoted to ‘Further results and open problems’. … the volume is extremely well-written and organized, as well as (reasonably) self-contained, so that any reader with a good knowledge in elliptic PDE’s and interest in inverse problems will enjoy it … .” (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1220, 2011)
Relazione
From the reviews:
"The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. ... This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements." (Guillaume Bal, Mathematical Reviews, Issue 2009 f)
"The present book deals with one of the most interesting topics in the theory of inverse problems ... . any chapter of the volume contains an interesting section devoted to 'Further results and open problems'. ... the volume is extremely well-written and organized, as well as (reasonably) self-contained, so that any reader with a good knowledge in elliptic PDE's and interest in inverse problems will enjoy it ... ." (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1220, 2011)
