Physical description 
1 online resource (vii, 215 pages) : illustrations. 
Series 
Lecture notes in mathematics, 00758434 ; 1461


Lecture notes in mathematics (SpringerVerlag) ; 1461.

Bibliography 
Includes bibliographical references (p. [195]209) and index. 
Restrictions 
Use copy Restrictions unspecified star MiAaHDL 
Summary 
In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of illposedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications. 
Reproduction 
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL 
System notes 
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 
Processing Action 
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL 
Notes 
Description based on print version record. 
Other author 
Vessella, Sergio.

Subject 
Abel integral equations.


Abel integral equations. 

Integraalvergelijkingen. 

Abelsche Integralgleichung. 

Electronic books. 
ISBN 
9783540469490 (electronic bk.) 

3540469494 (electronic bk.) 

354053668X 

9783540536680 

038753668X 

9780387536682 
